Animated loader · minimax-m3.1-flash

Let me write the index.html.

Design: dark bg, a group of rounded geometric shapes (3 shapes: circle-ish square, triangle? keep rounded shapes) animating scale/position/border radius, plus 5 dots staggered.

Timeline duration ~4.5s, repeat -1.

Controls: Pause/Resume toggle button, Restart button. Also expose state on window for verification.

Let me write it.

Issues: the timeline duration — shape tweens end at DURATION + DURATION/2 = 1.5*DURATION, so timeline duration is 6.75s, not 4.5. I intended the shapes' 3-part sequence to complete in DURATION. Let me restructure: total loop duration DURATION = 4.5s. Shapes: three segments each DURATION/3 with final one returning to start state (so loop is seamless since repeat restarts). Actually with repeat, at the end of the timeline it jumps back to the start. To avoid abrupt jump, the final state at t=DURATION must equal the initial state.

So: for each shape, animate over DURATION/3 segments ending back at start values. Similarly dots must be back at start at DURATION.

Let me redo: shape segments each DURATION/3 = 1.5s. Shape1: state A -> B -> C -> A. Similarly.

Dots: each dot's tween sequence must end at t=DURATION with y0, scale1, opacity .35. Simpler: use a repeating stagger wave. Let dot i have a 4-segment cycle of DURATION/4 starting at offset i*0.22 ... but must return to start exactly at DURATION.

Cleaner approach: give each dot a "wave" that travels: for dot i, define keyframes over the full DURATION with a phase offset, using a function-based approach. Easiest: use a tween per dot with keyframes array and stagger... but stagger extends timeline.

Alternative: build dot tween as a timeline per dot of duration DURATION with keyframes:
- at 0: y0 scale1 op .35
- peak around phase p_i: y -11 scale 1.55 op 1
- back at 0.25: y0 scale1 op .35
- dip at 0.5: y 8 scale .8 op .18
- back to start at 1.0.

To stagger, offset each dot's phase. Use function-based values with a phase parameter: gsap.to(dot, {keyframes:[...], duration:DURATION}) with values computed via function(value, index) shifted by phase. Use `keyframes` with function-based values:

tl.fromTo(dot, {y:0,scale:1,opacity:.35}, {keyframes:[{y:-11,scale:1.55,opacity:1,duration:0.25},{y:0,...duration:0.25},{y:8,scale:.8,opacity:.18,duration:0.25},{y:0,scale:1,opacity:.35,duration:0.25}]}, 0) — that's not staggered though; all dots same. To stagger within one timeline, I can add each dot's tween at position -i*0.15 (negative position). Negative start positions are allowed in GSAP timeline (they extend the timeline backwards? Actually negative position starts tween before timeline start and adds to duration). The total duration would then be DURATION + 4*0.15 = 5.1.

Better: keep per-dot keyframes but use function-based values with phase offset. GSAP supports function-based values in keyframes: each keyframe value can be a function receiving (index, target, targets). So:

function wave(index, phase) — value = base + amp*sin(2π*(p - phase)).

Simplest robust: use a repeating tween with yoyo? Alternative: use `tl.to(dot, {keyframes: [...], duration: DURATION, repeat:-1})` — but requirement says no growing number of instances; a repeating tween inside timeline is fine but repeats would be independent.

Let's just compute the whole wave analytically with function-based keyframes: create 5 keyframes per dot with function values based on a phase-shifted cycle, ensuring value at t=DURATION equals value at t=0. Use keyframes array of {duration:0.25} segments, and each value computed by function(index, target, targets) => f(i) using a fixed phase per dot.

Define wave(p) for p in [0,1): y = -11 * max(0, sin(2π p))? Combined with dip: let's define y(p) = -11*sin(2π p)^2 ... at p=0 and 1 → 0. Actually let's make: up = max(0, sin(2πp)) gives pulse at p=0.25; dip = -min(0, sin(2πp)) at p=0.75 gives +8.

y(p) = -11*up + 8*down where up=max(0,sin), down=max(0,-sin). scale = 1 + 0.55*up - 0.2*down. opacity = .35 + .65*up - .17*down.

Phase-shifted per dot: p_i = p + i*0.12 (mod 1). But function-based values in keyframes get evaluated at start/end of each keyframe segment, not continuously — so the function value is a static number per keyframe segment, not sampled over time. Function-based values are resolved at render time for the start of each keyframe... Actually within a keyframe segment, the value is a single resolved number (function resolved once). So that won't give a smooth wave.

Better: use a single tween per dot with a `yoyo/repeat`? Hmm.

Alternative and simple: give each dot its own keyframe tween over a duration DURATION with 5 keyframes, offset phases by shifting keyframe boundaries. That's tedious for 5 dots but doable via generating keyframes per dot programmatically with phase offsets, using fractional positions.

Cleanest: build the dot wave with a repeating tween per dot but sync all to same timeline length? Another approach: use one tween per dot of duration DURATION that moves dot through a cycle with different timing per dot (function of index in keyframe durations).

Let's do: for dot i, offsets: segment boundaries at fractions. Use keyframes array with per-keyframe duration and easing:
Let shift = i * (DURATION/5)/4? We want a wave travelling left→right: dot i peaks later than dot i-1 by delay d = DURATION/12.

Per dot keyframes (durations summing to DURATION), with the pulse peak at fraction offset:
segments: A→peak (dur a), peak→A (dur a), A→dip (dur a), dip→A (dur a), where a = DURATION/4. With delay d_i = i*0.18s, the whole cycle shifts later; to keep total = DURATION and end at start state, we can make the last segment shorter/longer. Instead, shift the *phase* within the cycle: define per-dot keyframe durations so the pulse occurs at phase p_i = 0.25 + i*0.08.

Simplest consistent scheme: define wave as a function of phase θ_i(p) = (p - phase_i) mod 1. To realize with keyframes, for each dot we create keyframes at times t_k = phase offsets, but keyframe timings can be irregular with variable durations. So build keyframes array: 
segments durations: u1 = phase offset to peak, u2 = peak→trough ... For cycle of unit length 1 starting at θ=0 (start state A): θ goes 0→0.25 (peak)→0.5(trough)→1(A). With phase shift φ, the dot at p=0 is at θ = -φ mod 1 = 1-φ, i.e., not start state. That's fine as long as the *whole animation* loops seamlessly: at p=1 the dot is at θ = (1-φ) mod 1 = 1-φ = same as p=0. Yes! Seamless, since everything is periodic in p with period 1. So each dot just needs a cyclic wave with period DURATION, sampled with the keyframe boundaries at absolute times shifted by φ.

So per dot, keyframe times in cycle-space: start at θ0 = -φ mod 1; but easier: build the cycle starting at θ=0 with keyframes at θ = 0, 0.25, 0.5, 1.0, then shift by φ means cycle start time = φ... i.e., simply start the keyframe sequence at time offset φ within the timeline, but then the timeline duration extends to φ + DURATION. To keep duration DURATION, wrap: put the first segment split.

Alternative easier: instead of shifting phase, shift durations: build keyframes per dot with durations:
seg1: from A to peak, dur = 0.25*DURATION ... plus shift.

Let's define for dot i, φ_i = i * D/10 (D = DURATION), with 5 dots, φ_4 = 0.4D. Then within the timeline of length D, dot i's wave is wave(p - φ_i). Using keyframes we can express this as: the dot starts at θ = 1 - φ_i/D (for φ_i>0) i.e. near end of cycle, and wraps around mid-timeline.

Keyframes with variable durations can do it: keyframe list for dot i (state values A=0, P=peak, T=trough):
times in θ: A at θ=0, P at 0.25, A at 0.5 (passing through), T at 0.75, A at 1.0.
Actually define states: at θ=0: A; θ=0.25: P; θ=0.5: A; θ=0.75: T; θ=1: A.
Now in timeline p from 0 to 1, θ = p - φ (mod 1). θ starts at (1-φ) and increases to 1 (wraps at p=φ).
So dot i's keyframes in p-space:
- p=0: θ=1-φ → state at θ=1-φ. For φ<0.25 that's between 0.75(T) and 1(A) → A-ish.
This is getting complex. Let me just use the analytic approach with a repeating tween per dot but each dot's tween is a "keyframes" of many steps (e.g., 40 segments) computed analytically! That's easy and exact: 40 keyframes × 5 dots = 200 keyframe segments, fine. Each keyframe duration D/40, values computed analytically from wave(θ_k). And easing linear (or slight). Since 40 segments approximates smoothly.

Hmm but keyframes with 40 steps is a bit heavy but fine. Alternatively use motionPath? No.

Actually much simpler: GSAP supports `keyframes` array where each keyframe can have `duration` and `ease`. I can compute analytic wave with 24 steps and ease "none". Smooth enough for dots (small movement).

But is there a simpler standard: gsap.to(dot, {keyframes:[...]}) fine.

Alternatively, since we need "staggered motion or opacity", we could use gsap's stagger with a repeat — but requirement warns about growing instances (using .repeat(-1) on separate tweens inside a timeline is not growing). Actually creating per-dot repeating tweens inside a timeline with repeat: -1 causes each to have its own cycle — fine, and no growth. But then restart semantics per-dot might not sync. Analytic keyframes is cleanest and fully deterministic. Let's do 24 steps per dot.

Wave function: 
w(θ) where θ in [0,1):
 up = max(0, sin(2πθ)); down = max(0, -sin(2πθ))
 y = -11*up + 8*down
 scale = 1 + 0.55*up - 0.2*down
 opacity = 0.3 + 0.7*up - 0.12*down (min ~0.18)

Hmm at θ where sin crosses 0.5 etc, up/down max(0,sin) has a kink but fine—it's smooth-ish (C0). Use smoothstep version: up = max(0,sin)^1.5? Fine.

Phase shift per dot: φ_i = i * 0.055 (in cycles) → wave travels.

Keyframes must start at θ0 = -φ mod 1 and total 24 steps of equal duration D/24 covering θ from θ0 to θ0+1. Values at each step computed from wave.

Also need initial state set to wave(θ0) — use fromTo with the computed start values.

Similarly for shapes: use analytic keyframes too? Shapes need scale, position, border radius changes smoothly with nice curves — hand-authored 3-segment works if I set durations to D/3 each and end at start state. Let's do shapes with 3 segments of D/3 each, starting state A and ending at A. Timeline duration = D exactly.

Shape1: A: x0,y0,rot0,scale1,radius34%. B: x-46,y-40,rot120,scale1.35,radius50%. C: x34,y52,rot250,scale0.85,radius16%. then back to A over seg3. Good, ends at A = start. Seamless.

Shape2: A: x0,y0,rot0,scale1,radius50%. B: x52,y-34,rot-100,scale0.78,radius12%. C: x-30,y46,rot-230,scale1.28,radius50%. → back to A.
Shape3: A: x0,y0,rot0,scale1,radius24%. B: x18,y58,rot80,scale1.18,radius50%. C: x-54,y-16,rot200,scale0.72,radius18% → back to A.

Wait rotation: from A rot 0 → B rot 120 → C rot 250 → A rot 360? But A is rot 0 and final returns to rot 0 — that would spin backwards at the end (250→0 backwards). Use final rot 360 instead of 0? Then at loop repeat, jump from 360 to 0 = same visually (360 ≡ 0) but GSAP will jump the numeric value — visually identical, fine. Better: set final rotation to 360 and it looks continuous. But border radius end value must match start 34%, scale 1, x0,y0. So final keyframe: x0,y0,rotation:360,scale:1,radius 34%. And initial rotation 0 → same look.

Actually mixing rotation on a square looks fine.

Halo: rotation 0→360 over D, ease none; ring rotation 0→-180? Let's do 0→-360.

Also note the dot tween: since dots' keyframes are analytic, and the timeline duration D, everything loops at D.

Now also need `repeat: -1` on timeline — loop seamless since all states periodic with period D.

Also fix: the loader container uses grid place-items center; shapes are absolute with margin -52px to center. Fine — remove the gsap.set(loader...) lines that were junk. And add a progress label element (I referenced progressLabel but didn't create it). Add it to the status.

Also `tl.fromTo` with a state object — I wrote shapeState using element values which is silly; just pass literal objects.

Let me rewrite the script section properly.

Also for verification: expose __loader with time, progress, paused, duration, childCount, and a helper to read shape transforms (gsap.getProperty).

Also note: getChildren count with repeat -1 stays constant — good.

Let me rewrite the wholefile's script.

Concern: fromTo with keyframes — GSAP's fromTo with keyframes array is supported in 3.12? `gsap.fromTo(el, fromVars, {keyframes: [...]})` — I believe keyframes in a "to" vars works; in fromTo it may work too but the "from" values apply to first keyframe? Risk. Safer: use gsap.set for initial state then tl.to(dot, {keyframes: frames}). Let me test in browser.

Also note keyframes in GSAP: each keyframe's duration is relative; total duration set in the vars `duration: DURATION` may conflict. GSAP keyframes: the `duration` in the vars is total; per-keyframe duration can be set. Let me just test.

Let's runbrowser.

Issues:
1. `borderRadius` is not a valid GSAP property — GSAP uses `borderRadius`? Actually CSSPlugin supports `borderRadius` as an alias? It supports `borderRadius` only in newer? Warning says invalid property "radius" set to 34% — meaning I passed `radius` in the fromTo vars (I used `radius` key). Right, my shapeTrack uses a.radius / b.radius keys named "radius". Should be "borderRadius". GSAP CSSPlugin does support borderRadius (it maps to borderRadius). Let's rename to borderRadius.

2. The three shapes overlap exactly at center at t=0 creating a white blob. Better to offset shapes initially so composition reads as a group of shapes. Also mix-blend-mode screen makes white. Maybe avoid screen blend; use normal blend with slight opacity. Let's give distinct initial positions and no screen blending.

Also the shapes look tiny relative to the 320 loader? They're 104px each overlapping. Let's set initial positions apart: s1 (-34,-30), s2 (40,-24), s3 (0,44)? But then the loop's start state = that arrangement; fine, "starting composition" just needs to be consistent.

Let me restructure shapes: each shape has its own path with distinct anchor. Design: three rounded squares orbiting/blending.

Also loader appears small; increase to 340 and shape size 110.

Also mix-blend-mode: screen turned overlapping into white. Use opacity .92 and no blend? Or keep screen but offset shapes so overlaps are minimal. I'll drop screen and use normal blend with slight transparency (0.9) plus glow shadows.

3. Dots look ok.

Let me also verify keyframes worked (dot wave). Dots show varying sizes — yes.

Fix the radius property and layout.

Wait: shapeTrack's third segment returns to a.x,a.y with rotation a.rotation+360 but also scale a.scale and radius a.radius — for s1 that's scale 1, radius 34% matching initial. Good.

But the "fromTo" of shape 1 starts at a and goes to b — the fromTo with explicit from values applies immediately at t=0 (immediateRender). Good.

Now reload and screenshot.

Looks good. No console errors. Now sample the timeline at several moments programmatically. I don't have a JS eval tool — only click/scroll/key/screenshot/motion/inspect. I can use "inspect" to see DOM state. To sample the timeline at specific times, I could add a URL hash parameter, or use key presses. Better: use the browser "key" action to send keys — I can add a debug hook: pressing keys 1-5 sets tl.pause() and tl.time(x)? Instead, add URL query support: if location.hash matches #t=2.5, pause and seek. Then reload with different hashes. The browser reload action reloads the same URL though; can I navigate? There's no navigate action. Hmm — "reload" only.

Alternative: use the key action to trigger seeks. Let's add keydown handlers for digits 1-5 that pause and seek to fixed sample times (t = 0.5, 1.5, 2.5, 3.5, 4.2) — useful for verification and harmless. Then use browser key action with text "1" etc, and inspect DOM to read the transform values via the status panel? inspect returns DOM text; I want computed styles. Better: add a hidden debug readout element in DOM that displays sampled values as text, so `inspect` shows them.

Simplest: make the status panel include a live readout of shape transform values and dot opacities. That's visible in DOM text (and in screenshot, a bit cluttered). I'll add a small debug line in the panel, styled subtly, showing shape props. Actually it could be nice-looking: show a compact "s1 x/y/scale" line. Let's add a hidden-by-default element? Then inspect may not show hidden text. Instead, include visible compact readout under the panel — acceptable, but might clutter the design.

Alternative: keep the readout but style it tiny and dim, monospace. That's fine and even demonstrates the animation. I'll add a `.debug` line below the panel showing shape1 scale/radius, dot opacities, and timeline time.

Then for sampling at specific times: press keys 1..5 to seek to preset times while paused.

Let me implement:
- keydown: digits '1'-'5' → tl.pause(); tl.time(presets[i]); paused = true; update state.
- '0' → resume.

Also the seek should update readout (onUpdate fires on seek since tl.time() triggers render → onUpdate called? Setting time triggers render and update events; yes onUpdate fires).

Let me add readout content:
"t=1.23 | s1 scale=1.02 r=34% | dots: 0.31 0.55 0.9 1.0 0.42"

Use gsap.getProperty(el, 'scale') and getProperty(el,'borderRadius')? borderRadius computed style returns e.g. "34%". gsap.getProperty returns the tweened value.

Implement debug element updated in onUpdate.

Working. Now sample at several times using keys 1..7. Each key action then inspect. Let me do key "2" then inspect, etc. Note key action probably dispatches to the page.

Also verify dot wave stagger: opacities increase across dots → yes (staggered).

Let's sample times.

At t=0.75 the shapes converge and mostly overlap — composition is a bit cluttered (pink hidden behind). That's because at that moment positions overlap. Let's check other sample times. Also note the shapes look like they merged; maybe reduce overlap by adjusting paths so they don't fully coincide. Let's sample t=2.25 and 3.0.

Also dot opacities at 0.75: 0.88 0.99 1.00 0.99 0.87 — all near peak (peak width broad). Stagger visible but weak since smoothstep makes wide pulses. Reduce pulse width so wave is tighter: use higher power on up (e.g. up^2) so peaks narrower. Currently up = smoothstep(sin) which flattens near peak → broad. Use up = max(0,sin)^1.8 maybe. Let's tune: up = Math.pow(Math.max(0,s), 2)? That narrows the pulse. Use exponent 2.2 for up and 1.6 for down.

Let's continue sampling first.

Shapes change well. Dot opacities descend 0.35→0.18 (staggered, nice).

But shapes overlap a lot. To make composition clearer, spread them: increase amplitude/positions so they stay distinct. Also the shapes' positions are within ±60 of a 320 box; they're 108px wide so overlaps happen. Let's spread more: use larger offsets and reduce shape size to 96, loader 340.

Let me redesign shape paths with more separation (like a triangular arrangement rotating):
s1 (blue): orbit around radius ~85.
s2 (pink): radius ~85, phase offset.
s3 (green): radius ~85.

Simplest: each shape travels on a circular orbit of radius R=78 around the center, with different phase and rotation, plus scale/radius morph. Positions then never coincide if phases differ by 120°. But then positions change continuously — need periodic loop with easing.

Implement each shape with 3 keyframe points on its circle (t=0,1/3,2/3,1) with ease "none" for smooth circular motion? Using sine.inOut on 3 segments creates pulsing speed. Use ease "none" per segment for constant speed around circle → smooth circular motion. But the requirement says smooth easing overall — using power2.inOut within segments is nicer. For circle, use "none" per segment with 4 points approximating the circle (t=0, .25,.5,.75,1) → polygonal-ish but with 4 segments it's an octagon-ish path; with 8 points it's smooth circle.

Let me use 8 keyframe positions per shape (12 points?) around circle, with linear per segment but the morph of scale/radius via separate easing. Simplest: per shape, 8 segments, each SEG = DURATION/8, positions on circle with linear interpolation between adjacent points (chords — smooth enough), scale/radius interpolated with sine.inOut to give breathing.

Implement shapeTrack as a function of circle: for shape i with radius R_i and phase φ_i:
points: for k=0..7: angle = φ_i + k*2π/8; pos = (R cos a, R sin a). Last point k=8 = k=0 for continuity (so the loop closes exactly). We use 8 segments each of duration D/8, from point k to k+1, ending back at point 0 → periodic. Positions periodic → seamless.

Scale: sinusoidal in time: scale = 1 + 0.3*sin(2π t/D + phase_i) — periodic. Radius: interpolate between two radii sinusoidally: borderRadius = 50% when scale high? Let's do radius value = 50% * (0.5+0.5*sin(...))? Percent must be a string for GSAP interpolation of borderRadius; GSAP can animate borderRadius between "12%" and "50%" strings (it handles unit matching). I'll give numeric values as px? Border radius in px: 54px max (half of 108). Animating px is easy: radius = 20 + 34*(0.5+0.5*sin(...)) px. But "corner radius" requirement satisfied by px values. But visually px on a 108 square is fine.

Hmm but the screenshot showed nice % radii. I'll animate numeric px.

Scale with sine: but GSAP tweens interpolate linearly between keyframes with ease; using per-segment keyframes sampled every 1/16 cycle with ease "none" gives a smooth sinusoid approximation. So build per-shape keyframes like the dot wave: N=32 samples, values computed analytically, ease none. That's smooth and exactly periodic.

Let's do that: for each shape, compute analytic function:
pos(t) = (R*cos(θ(t)), R*sin(θ(t))) with θ(t) = φ_i + 2π*t/D (constant angular speed), maybe slightly non-uniform: θ = φ + 2π t/D + 0.35*sin(2π t/D) → still periodic. Keep simple constant speed plus a wobble term.

scale(t) = 1 + 0.28*sin(2π t/D + ψ_i)
rotation(t) = φdeg_i + 360*t/D (full rotation per loop, periodic)
borderRadius(t) = 50% * (0.5 + 0.5*sin(2π t/D + χ_i)) → but "50%" strings in keyframes each sampled value — GSAP interpolates strings with %? When values are strings with %, GSAP parses to numbers for interpolation; yes GSAP handles "50%" strings for borderRadius by converting to numbers. But mixing: sampled keyframes each with % value, GSAP interpolates numbers with % unit. Should be fine.

Simpler: radiusPx = 54 * (0.35 + 0.65*(0.5+0.5*sin(...))) → range 19-54 px. Use numeric px.

Also add per-shape slight vertical stretch? skip.

Then shapes orbit around center at radius ~78, each with phase offsets 0, 2π/3, 4π/3 → never overlapping much (each 108 wide at radius 78 → chord distance between adjacent = 78*√3 ≈ 135 > 108, good).

Shape size 96 → chord 135 > 96 good.

Loader 320x320, orbit radius 78 + half size 48 = 126 → fits in 320/2=160. Good.

This gives a nice rotating composition. Let's implement with 32 sample keyframes per shape (3 shapes × 32 = 96 keyframes) — fine.

Also the halo/ring remain.

Implement:

function buildShape(el, opts) {
  const N = 32, STEP = DURATION/N;
  frames = [];
  for k in 0..N-1: t = k*STEP; compute; push {x,y,rotation,scale,borderRadius, duration: STEP, ease:"none"}
  tl.fromTo(el, firstFrame, {keyframes: frames, duration: DURATION, ease:"none"}, 0);
}

Wait: with keyframes in a fromTo, the "from" applies to the first keyframe? GSAP's fromTo with keyframes: the fromVars are applied to the element, and the keyframes array defines the sequence; I think GSAP uses keyframes and ignores fromVars for those props... Risky. Use gsap.set(el, firstFrame) then tl.to(el, {keyframes: frames, duration:DURATION, ease:"none"}, 0). But then at timeline restart (tl.restart()), the fromTo's immediateRender re-applies start state; with plain .to, restart would leave the element at final state until the tween starts? Actually on restart, the timeline seeks to 0 and renders, which applies the tween's start values (GSAP records start values at first render; with a repeating timeline, when it loops back to 0 it re-renders start values). But initial state before first render: gsap.set covers it.

Concern: for a tween that loops, at time 0 the render sets props to the recorded start values (fromVars recorded at creation). Since we set el first, the recorded start = our set values. Good. And with repeat:-1 on the timeline, at loop point it returns to time 0 which re-applies start values = same as the wave's t=0 value (since periodic) → seamless.

Earlier with fromTo + keyframes, dots worked (opacity varied as expected), so fromTo+keyframes works. But to be safe use gsap.set + .to for shapes, and keep dots as fromTo (worked) — actually consistency: use set + to for both, and rely on periodicity.

Hmm, but there's a subtlety: with .to and keyframes, GSAP computes the tween's start values at the first render time, which may not be t=0 if the timeline starts later — we start at 0, fine.

Actually risk: timeline's first render happens at the current time (0 at creation, but the ticker may render at time ~0). Fine.

Let's restructure the script with a helper `keyframesTrack(el, fn)`.

Also: the keyframes array with 32 entries each having duration STEP — total = DURATION. GSAP keyframes: per-keyframe duration defines segment length; the tween's overall duration is the sum. Setting both duration:DURATION and per-frame durations may conflict; earlier the dot tween with duration:DURATION and per-frame durations of STEP*32=DURATION worked (dots animated across the row as expected). Keep same pattern.

Now, is ease "none" per keyframe giving a smooth curve? With 32 samples of a sinusoid, yes visually smooth. For the shape scale sin sampled at 32 points, fine.

But the requirement mentions "smooth easing" — I'll use ease "sine.inOut" on the shape tracks? That would distort the circle path (positions would ease between points, causing pulsing speed). Instead keep ease none for circular paths but use power2.inOut on the initial fromTo? Let's use ease "none" for shapes/dots but use sine.inOut for the halo opacity and ring scale so there's eased motion in the timeline, plus shape scale/radius uses eased keyframes? Compromise: per-keyframe ease "sine.inOut" applied to each segment of the shape track would make the circle path slightly pulsating but visually fine and gives smooth easing. With 32 segments, sine.inOut per segment is basically smooth continuous motion (velocity drops to zero at each sample point → slight stutter? sine.inOut between two nearby samples yields near-constant velocity, but zero at each node → micro-stutter 32×/loop). Use "none" for path, and separately add eased sub-motion (e.g., halo scale/opacity with power2.inOut, ring scale with sine.inOut). Also add a small eased "breathing" on the whole loader group (scale) with sine.inOut, and a bobbing translate. That satisfies "smooth easing" nicely.

Good: add tl.fromTo(loader, {scale:0.96, y:6}, {scale:1.04, y:-6, duration:D/2, ease:"sine.inOut", yoyo:true, repeat:1}, 0) → periodic over D. But loader has children positioned absolutely; scaling the loader scales children around its center — nice breathing.

Careful: loader uses position relative and children absolute with top/left 50% and margin -54 → children centered in loader. Scaling loader scales everything about center. Fine.

Let me rewrite the script section fully with these changes.

Also the halo rotation and ring rotation linear is fine.

Composition check: shapes orbit; plus breathing.

Let me write the newscript.

Rewrite the whole script block. I'll use python to replace between markers, or just rewrite the file with write (full rewrite). Easier: write full file again with updated script.

Design details:

Shapes: size 92px, orbit radius 74, phases 0, 2π/3, 4π/3 plus per-shape offsets for a nicer look.

Per shape i:
- θ_i(t) = base_i + 2π t/D + wobble_i * sin(2π t/D)
- x = R_i cos θ, y = R_i sin θ * 0.8 (elliptical)
- rotation = rotBase_i + 360 t/D * dir_i
- scale = 1 + 0.22*sin(2π t/D + ψ_i)
- borderRadius px = 12 + 34*(0.5+0.5*sin(2π t/D + χ_i)) → 12..46 (half of 92 = 46). Good.

Sample N=48 per shape for smoothness (48*3 = 144 keyframes + 5*48 dots = 240). Fine.

Dots: keep analytic wave with 48 steps.

loader breathing: tl.fromTo(loader,{scale:0.94},{scale:1.05,duration:D/2,ease:"sine.inOut",yoyo:true,repeat:1},0) — yoyo+repeat1 → goes 0.94→1.05→0.94 over D. Good and periodic.

halo: rotation 0→360 linear, scale 0.92→1.06 ease sine.inOut? For a loop, use yoyo repeat 1 with sine.inOut: fromTo(halo,{rotation:0,scale:.9,opacity:.55},{rotation:180,scale:1.08,opacity:1,duration:D/2,ease:"sine.inOut",yoyo:true,repeat:1},0) → ends at rotation 180, then back to 0. Periodic.

ring: rotation 0→-180 then back? Use fromTo(ring,{rotation:0,scale:1},{rotation:-180,scale:.88,duration:D/2,ease:"sine.inOut",yoyo:true,repeat:1},0).

Note yoyo tween inside repeating timeline: at loop end back to start state → seamless.

Also borderRadius animating px between 12 and 46 — GSAP will set border-radius in px. Fine.

Let's write.

Oops, wrong path: I wrote to /tmp/job-1QcmR/index.html (lowercase c) instead of /tmp/job-1QKcmR. Fix: copy it over.

Nice composition now — three distinct shapes in a triangular arrangement, dots staggered with clear opacity ramp.

Note "live tweens 11" = 3 shapes + 5 dots + 3 (loader/halo/ring) = 11. Constant. Good.

Now sample at several times (keys 1-7), check transitions and dot motion; then test pause/resume and restart.

Let me sample key 3 (t=1.5), key 5 (t=3.0), key 7 (t=4.35) and check near-loop-seam (t=4.35 vs t=0).

Problem: dot opacities are identical to t=0.23 case (0.26 0.50 0.84 0.99 1.00) — identical! That means the dot keyframe tween didn't animate? At t=1.5 the values equal those at t=0.23? Suspicious: it's the same string. Maybe the dot track has its tween not progressing—e.g., the tween created with tl.to(el, {keyframes}) is positioned at 0 with duration DURATION... Should animate.

Wait — maybe the issue: `gsap.set(el, first)` for dots sets only y/scale/opacity, and the to-tween with keyframes animates. But the debug reads opacity from gsap.getProperty. Hmm.

Alternatively the dot wave is periodic with period DURATION and the values at t=0.23 and t=1.5 happen to be equal? Unlikely exactly.

More likely: the dot tweens were not created at all because keyframeTrack uses tl.to(el, {keyframes: frames, duration: DURATION}) but frames have x,y? No, dots' fn returns {y,scale,opacity} — no x. Fine.

But wait: for shapes, fn returns x,y,scale,rotation,borderRadius — and the debug at t=1.5 shows different scales (1.22/0.84/0.90) than at t=0.23 (1.05/1.21/0.81) — so shapes animate. Dots show identical values... The dot values look like a "staircase" 0.26 0.50 0.84 0.99 1.00 — that's exactly the wave at some phase where the pulse is. Hmm, maybe both times correspond to phases differing by an integer period? 1.5-0.23 = 1.27, no.

Unless the dots' wave function only depends on phase and my dot phase = i*0.062, wave(p+phase). At p=0.23 and 1.5 (p=0.333) → different.

Possibility: the dot tween got overwritten by gsap.set? No.

Maybe the issue: the keyframes array for dots includes "x"? no. But it includes "duration" per keyframe; for dots the frame objects are {y, scale, opacity, duration, ease} — GSAP keyframes require... fine.

Hmm, maybe the debug readouts: gsap.getProperty(dot, "opacity") returns the tweened value. Both snapshots identical strings => values truly identical.

Could it be that the dot tweens are NOT in the timeline (e.g., GSAP created them but duration mismatch caused them to be at their end?). If a tween's keyframes total duration (SAMPLES*step = DURATION) but I also set duration:DURATION, GSAP may normalize keyframe durations proportionally to fit the tween's duration — fine.

But what if the tween was created but GSAP's timeline placed it at time 0 with duration... The dots clearly show the "pulse staircase" so they animate somehow.

Let me check the screenshot: at t=1.50 the dots appear with decreasing size/opacity to the right (dimmer). At the first screenshot they increased left→right. In image 2 dots: leftmost biggest/bright, then decreasing to small at right? Looks like left bright, right dimmer. In image 1: left dim, right bright. So the dots ARE different between the two frames! But the debug string is identical... because I re-rendered? The debug shows opacity values 0.26 0.50 0.84 0.99 1.00 in both. Yet visual differs? Actually image 1 dots: leftmost dim small, rightmost bright big. Image 2: leftmost bright, rightmost dim. So the DOM differs but debug text same → the debug text wasn't updated? But scale values updated for shapes... onUpdate updates all. Unless gsap.getProperty(dot,'opacity') returns cached/start value while the actual rendered opacity comes from another property (e.g. GSAP animating opacity but getProperty reading from the cached tween?). Hmm, getProperty should read from the render cache.

Wait: maybe the dot track's keyframes include 'opacity' but the wave function for dots... keyframeTrack's fn returns wave(...) with keys y, scale, opacity — but keyframeTrack pushes frames with x: v.x (undefined!), y: v.y, scale, rotation: v.rotation (undefined!), borderRadius: v.borderRadius (undefined!). So frames contain undefined x, rotation, borderRadius for dots → GSAP may try to animate x: undefined... that might error or be ignored. Similarly for shapes it's fine.

So dot frames have x: undefined → GSAP might set transform x to undefined → maybe it applies "x: undefined" causing NaN? Yet shapes work.

Fix: keyframeTrack should only include defined props. Let me build frames by copying only defined keys.

Also the opacity discrepancy: maybe GSAP treats undefined values oddly, and the actual opacity is animated but getProperty returns... whatever. Fix the frame construction and re-check.

Also, I should double check the actual animation values (not just getProperty) — compare dot opacities at different times after fix.

Let me patch keyframeTrack.

But gsap.set(el, first) also gets undefined props for dots — gsap.set with undefined values may warn. Fix: build `first` similarly filtered. Let me patch: create first from filtered object.

Now dots show staggered ramp 0.29→1.00 (values differ per dot). Let's sample multiple times: keys 1..7.

At t=1.5 the dot wave has moved (descending opacity left→right). Good stagger.

Now check the loop seam: t=4.35 (key 7) should look like t=0 (key 1). Let's press key 7 then key 1 andcompare.

At 4.35 (97%) shapes positions differ from t=0 — expected, since at t=0 the shapes are at phase -π/2 etc, and at 4.35 they are at nearly the same angles (p=0.967 → angle offset 348° ≈ -12°). At t=0: s1 at top; at 4.35: s1 top-left slightly rotated. Continuity at the seam: position at p→1 vs p=0 should be close. p=0.967 vs 1.0 → 12° difference; fine.

But wait: does the position return exactly? At p=1 the angle = phase + 2π → same as p=0 modulo 2π, but wobble term: wobble*sin(2πp) = 0 at p=0 and p=1. Good, exact continuity.

Scale: 1+0.24 sin(2π(p+phase)) periodic ✓. Rotation: rotation + dir*360*p → at p=1 gives rotation+360 which differs from p=0 by 360 → same visual ✓ (GSAP will jump the numeric value but visually identical).

Border radius periodic ✓.

Halo/ring/loader yoyo periodic ✓.

Dots: wave periodic ✓.

Now check the loop seam visually — the motion frames. Let's use the motion action to capture frames across the seam? The motion tool captures frames of animation over a period. Let's try action "motion" to see frames including wrap.

Also need to verify pause/resume continuity and restart.

Let me first test resume: click Resume button (toggle at ~411,578) and then check t advances from 1.5... wait, currently paused at 4.35 via key. Click Resume and then inspect a moment later to see t continue past 4.35 → wrapping to 0.x.

Click Resume.

Resumed from 4.35 → continues to 4.43. Good.

Now test the Pause button freezing: click Pause and check that t doesn't advance across two inspections. Then Restart.

Let's click Pause, inspect twice.

Hmm, T shows 3.28 — but before pausing it was 4.36. It wrapped around (paused later, after wrap? no). Actually the pause happened after some time elapsed; timeline looped from 4.43 → wrap → 3.28? That means between the two clicks ~1 second passed... 4.43 + 1s = 5.43 → wraps to 0.93. Not 3.28. Time between my calls was longer (maybe ~5.9s elapsed of real time). Fine: it wrapped, consistent with repeat.

Wait but the shapes look at "loop 73%" while dots are all dim (0.18) — that's a trough moment, plausible.

Now verify paused state is frozen: inspect again.

Pause freezes at T=3.28 — identical values.

Now test Restart: click Restart; expect T≈0 and starting composition (shapes at initial positions: s1 top, s2 lower-right, s3 lower-left-ish). Then verify the animation resumes running.

Restart button at (511, 578).

Restart returned to T=0.00 and the starting composition (blue circle top, green square left, pink diamond right; dots ramping up to the right). Note: while paused, restart keeps it paused (good semantics: "Restart returns to the beginning"). Some might expect restart to resume; requirement says Restart returns to the beginning — keeping the paused state is defensible, but maybe better: Restart should reset and keep running if it was running; if paused, remain paused at 0. Current behavior does that. Fine.

Hmm, but a grader might click Restart while running → should restart and continue. Works.

One concern: the s2 (pink) shape at t=0 appears as a rotated square with corner radius 44px — fine.

Also "shape scale 1.00/1.23/0.84" at T=0 but earlier at t=0.26 it was 1.05/1.21/0.80 — fine.

Wait: at T=0, s1 radius = 44px and s2's scale 1.23 — the shapeTrack for s2 has scalePhase 0.30 → sin(2π*0.3)=0.95 → scale 1.23 ✓.

Now check the loop seam more carefully with motion frames: capture motion to see continuity across the wrap. Let's do motion action.

Also verify no growing instances over time: live tweens = 11 constant ✓ (check after resume running for a while).

Also potential issue: the keyframes tween "live tweens 11" includes 5 dot tweens each with 48 keyframes - fine.

Let me resume and check tweens count after some seconds, plus verify t advances.

Resumed from 0 and running. Good.

Now check loop seam smoothness via motion frames. Let's run the motion action which captures frames over time.

Also I want to double-check that the dot tween's keyframes with 48 samples + "duration: DURATION" on the tween works such that dots cover full loop — verified visually.

One more: check the seam numerically — sample t=4.45 (key 7 gives 4.35) vs t=0.00 composition similarity. From screenshots: at 4.35, shapes: pink top-center circle-ish, green lower-right, blue left — vs at 0: blue top circle, green left, pink right. Hmm, those are quite different! At p=0.967 the shapes should be nearly where they are at p=0 (only ~12° of rotation difference). But screenshots show a very different arrangement.

Wait — at t=4.35, the frame showed blue at left (small rounded square), pink at top circle, green lower-right big. At t=0: blue at top circle, green at left square, pink at right diamond. So positions differ significantly — that's ~120° rotation, not 12°.

Hmm, but also the scalePhase differences make shapes look different (blue is a circle at t=0 because radius large & scale...). Actually shape appearance: blue at t=0 is a circle (radius 44 of 92 → circle-ish) — blue at 4.35 is a rounded square. So both position and radius differ → suggests the p mapping isn't as expected.

Ah — I see the bug: keyframeTrack builds 48 keyframes each with duration step, and sets tween duration = DURATION. GSAP keyframes: when you give `duration` in the vars AND per-keyframe durations, GSAP might use the per-keyframe durations but normalize total to `duration`... or the per-keyframe durations might be ignored and evenly split. Either way the total duration should be DURATION.

But maybe GSAP's keyframes tween "from" start values: I used a plain .to() with keyframes; the tween's start values are taken from the current element state at first render (which I set to frame 0). Then it animates through the 48 keyframes. At t=DURATION (end), it holds the last keyframe value (frame 47 = p=47/48), not frame 0! Because the keyframes array's last frame value is p=47/48, and the tween ends there. Then when the timeline loops back to 0, the tween re-renders from start → discontinuity of one sample step (1/48 of the cycle ≈ 5.6° rotation, small). Fine.

But the difference observed is large. Let's reconsider: maybe the issue is that the tween's overall duration ended up as DURATION but the keyframes were spread differently, e.g., GSAP distributed 48 keyframes evenly across the tween duration ignoring per-frame durations (fine, same).

Alternatively maybe the timeline's total duration isn't DURATION but larger (e.g., keyframes sum to 48*step = DURATION; plus yoyo tweens DURATION) → tl.duration() should be 4.5. Let me check: the debug shows "live tweens 11" but not duration. The status shows loop % mapping to 4.5s? At T=4.35, LOOP=97% → 4.35/0.97 = 4.48 ✓ duration ≈ 4.5.

So at t=4.35, p=0.967. Shapes should be at angles phase + 2π*0.967 = phase - 0.208 rad (12°). Yet the screenshot shows a very different arrangement from t=0.

Unless... the shapes' angular speed isn't 1 rotation per loop. Wait, the shape's x,y come from cos/sin of angle; the scale and radius come from separate sinusoids with different phases. The visual arrangement at 0.967 vs 0: positions differ by 12° only — the screenshot at 4.35 vs 0 shows blue at left vs top: that's not 12°.

Hmm, let me look again at the 4.35 screenshot: blue small rounded square at left (~x=535,y=320), pink circle at top (~625,240), green big rounded square lower-right (~660,335). At t=0: blue circle at top (597,245), green square left (538,335), pink diamond right (665,335).

So indeed each shape seems to have moved substantially. Blue at t=0: angle = -π/2 (top). At t=4.35: blue appears at lower-left-ish. That's a rotation of ~ -130°? Since blue is at left-middle.

Hmm! Maybe the keyframes with `duration: step` each and the tween `duration: DURATION` caused GSAP to interpret each keyframe's duration as a proportion... and total became much longer than DURATION, e.g., 48 * (step as fraction?) Actually if GSAP ignores per-keyframe duration and uses `duration` for total, positions are fine.

Alternatively, maybe the whole animation is at 1/3 speed: if the tween's effective duration were 3*DURATION (e.g., keyframes each with duration: step interpreted as step*??) then at t=4.35 the shapes would be at p=0.33 → blue rotated 120° → matches observation! Yes! Blue at top rotated by -120° would be at lower-left. So the keyframe tweens are 3× too slow → their duration is 3×DURATION? But then tl.duration() would be 13.5, contradicting 97% at 4.35.

Hmm, unless tl.duration() = 4.5 (from the yoyo tweens) and the keyframe tweens extend beyond... no, duration would grow to 13.5 then.

Alternative: keyframes with 48 frames each with duration=step: maybe GSAP interprets per-keyframe duration as *absolute* but ALSO multiplies... Let's just measure directly: set tl.time(1.5) and read s1 x/y; compare to analytic expectation.

Better approach: drop keyframes entirely and use a single tween per element with a function-based value? GSAP function-based values are resolved once at start, not continuous — but for a *repeating* tween, function-based values are re-evaluated each repeat? For values like x, function-based values are evaluated at each render? No — function-based values are evaluated once when the tween starts (and on each repeat for repeating tweens). Hmm, GSAP docs: "function-based values are evaluated when the animation starts... they are re-evaluated on each repeat"? For repeating tweens, yes, GSAP re-evaluates function-based values on each iteration (that's how it supports relative values).

Alternative robust approach: drive everything with a single onUpdate that computes values from tl.progress() — but requirement says use a GSAP timeline with smooth easing. Using timeline progress to drive would still be a timeline but tweenless. Better to keep tweens.

Cleanest: instead of keyframes, build the shape/dot motion from a handful of tween segments with explicit positions and eased interpolation — but then the exact circle is approximated.

Let me first diagnose the actual behavior: read gsap.getProperty(s1,"x") at known times. I can do that via the debug readout which prints s1 radius only. Let me extend debug to print s1 x,y and rotation. Then sample at t=0, 0.75, 1.5 etc, and compare with analytic expectations.

Analytic for s1 at p: x = 74*cos(-π/2 + 2πp + 0.28 sin(2πp)); at p=0: x = 74*cos(-π/2)=0, y=74*0.78*sin(-π/2) = -57.7.
At p=0.33: angle = -π/2+2.094+0.28*sin(2.094)=-1.571+2.094+0.242=0.765 → x=74*cos(0.765)=53.8, y=57.7*sin(0.765)=40.1.

If the observed value at t=4.35 equals that, then the keyframe tween is running 3x slow → its duration is 3*DURATION? Then tl.duration() should be 13.5 unless the keyframe tween's duration doesn't extend the timeline... Actually GSAP timeline duration = max child end time. If keyframe tween duration were 13.5s, tl.duration()=13.5 and the % readout would show 32% at t=4.35. But it shows 97%. Contradiction.

Unless... the keyframes tween has duration DURATION but the *values* within it are distributed such that the 48 frames don't cover the whole tween; e.g., GSAP might treat per-keyframe duration as a proportion of total (0.09375 each → sum 4.5 = fine).

Hmm, then why the difference? Let me reconsider the shape geometry: maybe I'm misreading which screenshot corresponds. The 4.35 screenshot was taken with key "7". The composition there: blue small square at left, pink circle top, green big square bottom-right. At t=0: blue circle top, green square left, pink diamond right.

Consider blue (s1): at p=0.967, expected x = 74*cos(-π/2 + 6.075 + 0.28*sin(6.075)) . sin(6.075) = -0.207 → 6.075-0.058=6.017 → -π/2+6.017 = 4.446 rad → cos(4.446) = -0.259 → x = -19; y = 57.7*sin(4.446) = 57.7*(-0.966) = -55.7 → top-left. Observed blue at left-middle (~x=-55?, y=+?). Hmm, observed blue at (535,320) relative to center (600,290)... loader center is (600,290)? The loader box 320x320 centered at page center: page 1200x800, but the stage is a column: loader at top ~y=130..450 → center (600,290). Blue at (535,320) → dx=-65, dy=+30. Expected (x=-19,y=-56) → (581,234). Not matching.

If instead p=0.333: x=53.8,y=40.1 → (654,330) — that's the green position. Hmm blue observed at left.

Try p=0.667: angle = -1.571+4.189+0.28*sin(4.189)=-1.571+4.189-0.242=2.376 → x=74*cos(2.376)=-52.8, y=57.7*sin(2.376)=40.2 → (547,330) ✓ matches blue at (535,320)!

So at t=4.35 (p_tl=0.967), blue appears at p_shape=0.667. Ratio: 0.667/0.967 = 0.69. Hmm ≈ 2/3. So the shape keyframe tween runs at ~2/3 speed → its duration is 1.5×DURATION = 6.75s? But then the timeline duration would be 6.75 and 4.35/6.75 = 64%, not 97%.

Unless the timeline's duration is 4.5 and the keyframe tweens are "stretched" to fit the timeline duration: when a tween is added to a timeline, GSAP can scale its timeScale to fit? No, GSAP doesn't scale.

BUT: GSAP does adjust keyframes! In GSAP 3, when a tween with keyframes has a `duration` specified in vars AND keyframes with individual durations, GSAP 3.11+ distributes: "if you set duration on the tween, the keyframe durations are proportionally adjusted to fit". So total = duration = DURATION = 4.5 ✓ and each segment = 4.5/48 ✓. That's what I assumed.

Hmm, then why is the shape at p=0.667 when timeline p=0.967?

Oh wait! Maybe the issue is different: maybe the timeline time isn't what I think; maybe `tl.time(4.35)` seeks and the keyframe tween renders at 4.35 out of its own duration... but the tween's duration might be 4.5*? Let me actually measure with numbers instead of speculating. Add debug printing s1 x,y and rotation, then sample.

Also possible: GSAP's keyframe tween with per-keyframe `duration` treats duration as relative to... and the effective total becomes 48*step = 4.5 ✓ but if the tween is *inside a timeline that repeats*, at time 4.35 in a repeating timeline, the child tween renders at local time 4.35 of 4.5 → p=0.967 ✓.

Unless the keyframe tween got a duration of 6.75 because GSAP computed total from... then p would be 4.35/6.75=0.644 ≈ 0.667 observed! That matches the 2/3 hypothesis better (0.644 vs 0.667, close). And if the tween duration were 6.75s while the timeline is 4.5s, the timeline duration should be 6.75 (child extends beyond). Unless the timeline's duration is being reported as 4.5 because... hmm, GSAP timeline duration is determined by children; a child ending at 6.75 would make it 6.75.

BUT: the yoyo tweens (loader/halo/ring) have duration DURATION/2 with yoyo+repeat:1 → total DURATION = 4.5 ✓. The keyframe tweens: if each is 6.75 the timeline would be 6.75 and % would be 64%.

The % readout: at T=4.35, LOOP=97%. So tl.duration()≈4.48. So the timeline is 4.5 and children fit.

So then why is blue at p≈0.644? Unless my reading of the geometry is off, or the shape's x/y values are affected by the loader's parent transform scale (0.95-1.05) — scaling about the center, so relative positions scale ~1.0, fine.

Alternatively maybe I'm misjudging screenshot positions due to the halo/loader scale and the loader breathing y offset (y: 5 → -5). Minor.

Let me just measure numerically: extend debug to print s1 x,y,rotation and compare with analytic at a couple of times. Faster: use the browser console? The inspect tool gives DOM text only. I'll add debug output with s1 x/y/rotation.

Actually let me reconsider: maybe the keyframe array's per-keyframe duration is *absolute seconds*, but GSAP scales keyframe durations when `duration` is set in the vars... if it instead IGNORES `duration` and uses sum of per-keyframe durations = 4.5 ✓ same.

OK, measure. I'll add to debug: s1 x,y,rot, and expected analytic values.

Alternative simpler and much more robust: avoid keyframes for shapes; instead use a plain tween of rotation/position via a single "orbit" implemented with... hmm.

Alternative: implement shapes with `gsap.to(el, {keyframes})` replaced by per-shape 4-segment tweens using manual interpolation? To get exact circle I'd need many segments.

Better idea: use GSAP's `motionPath`? That's a paid plugin? No — MotionPathPlugin is free (included in gsap core bundle? MotionPathPlugin is free, but gsap.min.js standalone includes only core; MotionPathPlugin is a separate file). Not available.

Another robust approach: drive shapes with a single tween of a proxy object's progress and use onUpdate to set transforms manually. But that's manual animation rather than GSAP tweening — still uses GSAP timeline for timing/easing though. Requirement wants timeline coordinating both elements; using the timeline's progress as the driver is acceptable but less idiomatic.

Let's first measure to find the real cause. Add debug fields.

At t=0.16 (p=0.036): s1 x=8.6, y=-57.2, rot=5. Analytic: p=0.036 → angle=-1.571+0.226+0.28*sin(0.226)=-1.571+0.226+0.0626=-1.282 → x=74*cos(-1.282)=21.3, y=57.7*sin(-1.282)=-54.7. Observed x=8.6 (vs 21.3), rot=5 (analytic rotation = 360*p = 12.9). So both x and rotation lag: observed corresponds to p≈0.014 for rotation (5/360) and position p≈0.013.

So the tween is running at roughly 1/2.5 speed?? At timeline p=0.036, tween p=0.014 → ratio 0.39. Hmm at t=4.35 case: timeline p=0.967, shape p≈0.644 → ratio 0.67. Not constant → so it's not a simple slowdown; more likely an easing/distribution effect: maybe the keyframes are distributed non-linearly (e.g., GSAP interprets per-keyframe duration as proportion, causing a non-uniform mapping).

Actually here's a thought: with 48 keyframes each having duration=step=0.09375s, and tween duration=DURATION=4.5 — if GSAP ignores per-keyframe durations and instead splits the total duration equally among keyframes, mapping is linear. If GSAP uses per-keyframe durations but *also* has duration set → conflicting.

The observed mapping: tween_p(timeline_p) with points (0.036→0.014) and (0.967→0.644). If mapping were p' = p^1.5: 0.036^1.5=0.0068 (too small); p'=p*0.69 → 0.025 vs 0.014.

Alternatively the tween might have a slow start due to ease "none"? no.

Wait — maybe the timeline's progress isn't linear in time for the child because the child tween's duration is longer than DURATION, so it's still running at t=4.35 with p=0.644 → child duration = 4.35/0.644 = 6.76s = 1.5*DURATION. Then at t=0.16: p = 0.16/6.76 = 0.0237 vs observed 0.014 (rotation 5/360=0.0139). Hmm 0.0237 vs 0.0139 — not matching either.

Unless rotation isn't 360*p: rotation = cfg.rotation + direction*360*p, at p=0.0139 → 5°. Consistent with observed rot=5 exactly.

Let me get better data: sample at a couple of discrete times using keys and read x/rot. Use key "5" (t=3.0) and key "1" (t=0).

Actually, let's simplify: abandon keyframes (fragile) and use a different, deterministic technique:

Approach A: Drive each shape with a tween on a proxy using `gsap.to(el, {keyframes})` replaced by N separate short tweens appended sequentially to the timeline, each interpolating between two sampled values with ease "none". Each tween is a normal to-tween from explicit start values to explicit end values — GSAP supports `fromTo` with explicit numbers, which is deterministic. 48 segments per element × 8 elements = 384 tweens in the timeline. That's heavy but fine (still constant). But "live tweens" count 384 — acceptable, but heavy-ish. Could reduce samples to 24 → 8*24=192.

Approach B: Use a single tween per element with function-based values and `repeat: 1`? no.

Approach C: Use gsap's `keyframes` but ensure correct duration semantics: put keyframes WITHOUT per-keyframe durations and set only tween duration; then GSAP splits duration equally among keyframes. That's the documented behavior for "duration" on the tween. My earlier version (dots) used per-keyframe durations AND tween duration.

Let me test Approach C quickly by removing per-keyframe duration (keep only ease). Then each of 48 keyframes gets DURATION/48 automatically? GSAP docs: "If you set duration on the tween, the keyframes will be spread out evenly across it" — I believe GSAP 3.11+ does: "you can set a duration on the tween and GSAP will distribute the keyframes evenly". Let's test empirically.

Also I should verify the mapping by measuring. Let me do a quick standalone test in the browser console... I don't have console eval. But I can write a test HTML file? The browser tool only loads index.html presumably. I can temporarily add a self-test in index.html that computes mapping and prints to the debug line. That's a decent approach: compute analytic expected vs actual at a given time and display delta.

Plan: temporarily add a test harness in index.html that, on load, seeks tl to several times, reads gsap.getProperty(s1,'rotation') and compares to 360*p, and writes results into debugEl. Then read via inspect. This gives precise data.

Let me do that quickly.

The DIAG text got overwritten by onUpdate (since tl.play() triggers updates). I need to keep the diag output — write it to a different element or set a flag to stop onUpdate from overwriting. Let me store diag in a separate element appended to body, e.g. document.title! Better: set document.title = diag string — but inspect may not show title. Use a dedicated #diag div added to the DOM, and inspect shows DOM text (it showed the debug line). Let me create #diag element.

Also note current rot at t=0.18: 7 (expected 360*0.18/4.5 = 14.4). So rotation lags ~half. Consistent with mapping p' ≈ 0.5p at small p... interesting: maybe the tween's keyframes start with the *first* keyframe being consumed at t=0..? If GSAP distributes 48 keyframes over the duration but each keyframe's "duration" also counted, total = 48*step + something.

Whatever; use explicit segment tweens (Approach A) for determinism.

Actually, wait. Another simpler theory: gsap's keyframe tween treats the array as N keyframes where the FIRST keyframe is the start value and each subsequent keyframe is reached at cumulative durations. With per-keyframe duration = step, the tween's total = 48*step = 4.5 ✓, but I also set `duration: DURATION` — GSAP might scale keyframe durations proportionally to fit the tween duration... equal anyway.

Hmm, but maybe GSAP's keyframes semantics: the first keyframe in the array is treated as the *start* (i.e., the "from" value) and it consumes time! In GSAP 3, keyframes array: the first entry is the starting state (like a from), then subsequent entries are to-values. If so, my array's 48 entries map to 47 segments, and the total duration = sum of durations of entries 2..48 plus? That would shift things but only slightly.

Whatever the cause, let's replace with explicit segmented tweens which are unambiguous. Plan:

For each element, build N segments (N=24 for shapes, 24 for dots):
for k in 0..N-1:
  tl.fromTo(el, valuesAt(k), {...valuesAt(k+1), duration: seg, ease:'none'}, k*seg)

with valuesAt(N) = valuesAt(0) for closure (but rotation should be +360 → use rotation value at p=1 = rot0+360; that makes the shape's rotation continuous across the loop since 360≡0 visually ✓).

Values for shapes at index k: use p = k/N analytic functions (scale/radius/position periodic ✓, rotation = rot0 + dir*360*k/N).

Dots: values at p with phase; but for closure at k=N we need same as k=0 — wave(p+phase) is periodic so wave(0+phase)==wave(1+phase) ✓.

fromTo with explicit numeric values → deterministic, no keyframe semantics issues. 24 segments × 8 elements = 192 tweens; total timeline duration = 24*seg = DURATION ✓. Tween count 192+3 ≈ 195 — constant, fine.

Hmm, 195 live tweens each frame — performance OK.

But wait: does a fromTo chain cause "immediateRender" issues? fromTo with immediateRender true by default → each fromTo renders its from-state at creation? In a timeline, fromTo's immediateRender defaults to true only for the first tween? Actually for tweens inside a timeline, immediateRender is false by default except fromTo? GSAP: fromTo has immediateRender: true by default, which means it applies the "from" values immediately upon creation — but since tweens are created sequentially at init, each would set the element's from state... For a chain, later fromTo's would override. To be safe, set immediateRender: false on all but the first segment? But then when the timeline restarts/seeks to 0, the first segment must apply its from values — with immediateRender false, the tween still renders its from values when the playhead is at its start time (that's normal tween behavior: at time 0 of a tween, it renders start values). Actually yes — a tween renders start values when its local time is 0. The issue is only the *initial* state before any render, which we handle with gsap.set.

But careful: with immediateRender false, before the playhead reaches a segment, the element keeps the last rendered value. When the timeline loops back to 0, segment 0 renders its from values ✓.

So use tl.fromTo(el, from, to, position) with immediateRender: false? Hmm, for the very first render at time 0, segment 0 will render at local time 0 → from values ✓.

But there's a catch: multiple tweens on the same element overlapping? They don't overlap in time (sequential), fine. However GSAP's "overwrite" default is false → no conflict.

Let me also double check the previous behavior of keyframes may have been fine for dots (visually wave looked right, just maybe 1.5x slow). Anyway, replace both with segmented tweens.

Also, to reduce tween count, use N=16 for shapes and dots → 8*16=128 tweens. With smooth sine interpolation between samples (samples of a sine at 16 points → slight faceting for motion, but positions are on a circle — 16 segments → visible polygon corners). Use N=24 for shapes (circle with 24 chords looks smooth) and N=16 for dots (fine).

Let's implement: valuesAt functions return objects of numbers only for defined props.

Rotation continuity: define shape values with rotation = rot0 + dir*360*k/N; at k=N rotation = rot0+360 (visually same as rot0) ✓.

Implementation:

function segmentedTrack(el, fn, n) {
  var seg = DURATION / n;
  for (var k = 0; k < n; k++) {
    var a = fn(k / n);
    var b = fn((k + 1) / n);
    var toVars = { duration: seg, ease: "none", immediateRender: false };
    for (var prop in b) if (typeof b[prop] === "number") toVars[prop] = b[prop];
    var fromVars = {};
    for (prop in a) if (typeof a[prop] === "number") fromVars[prop] = a[prop];
    tl.fromTo(el, fromVars, toVars, k * seg);
  }
}

Note: for rotation, fn((k+1)/n) at k=n-1 gives rot0+360 ✓.

For dots, fn(p) = wave((p+phase)%1) → at p=1 gives wave(phase) = same as p=0 ✓.

Wait, but fromTo from/to of a segment: the "to" values must be numbers relative to the element's current transform? Since fromTo specifies absolute from and to, fine.

Potential issue: `x`/`y` in fromTo are absolute transforms ✓.

Also `scale` and `borderRadius` ✓.

For dots, opacity from/to absolute ✓.

Now for immediateRender:false — but the first segment needs to apply the from state at t=0 which happens on first render anyway.

Hmm: with immediateRender false and the timeline playing from 0, at time 0 segment 0 renders its from values ✓.

However, there's a subtlety: when the timeline is restarted (tl.restart()), playhead → 0, segment 0 renders from values ✓.

But when the playhead passes 0 during a loop wrap, GSAP renders the timeline at time 0 again → segment 0 applies from values ✓ seamless.

One more: the "to" values of segment k and "from" values of segment k+1 are identical → no discontinuity ✓.

Let's rewrite the script's track-building portion.

Also remove the diagnostic block and the per-keyframe stuff.

Let me rewrite the whole file again cleanly with thisapproach.

No python3. Use node.

JS error "Unexpected token '}'" — my splice removed too much (the diagnostic block removal cut into code). Let me view the script region around the end.

The diagnostic removal cut at the first "  })();" which was the IIFE end, leaving trailing code. Fix: remove the stray "  })();\n\n    // Exposed..." part and keep the final block inside the IIFE.

Replace:
```
    setState("running");
    onUpdate();

  })();

    // Exposed for automated inspection
```
with
```
    setState("running");
    onUpdate();

    // Exposed for automated inspection
```
Then the trailing "  })();" closes the IIFE. Good.

Now at t=0.16: rot=13 (expected 360*0.16/4.5=12.8 ✓), x=21.0 (analytic at p=0.0356: angle=-1.571+0.2236+0.28*sin(0.2236)=-1.571+0.2236+0.0622=-1.285 → x=74*cos(-1.285)=21.5 ✓, y=57.7*sin(-1.285)=-55.1 ✓). Timing mapping now exact.

Live tweens 155 (constant). Good.

Now verify the seam: t=4.35 vs t=0. Also check t=4.49 (near end) vs 0.

Let me press key 7 (t=4.35) and compare to key 1 (t=0).

At t=4.35 (p=0.967): s1 x=-19.4, y=-55.2, rot=348 ✓ matches analytic expectation earlier (x=-19, y=-55.7). Great, and the composition is nearly identical to t=0 (blue at top slightly left). Seam is smooth.

Note the s2 (pink) at 4.35 is bigger and to the right; at t=0 pink was to the right smaller. Fine — it's a continuous orbit.

Now check other sample times to verify shape change and dot stagger, and check the loop wrap visually via motion frames.

Let's take motion frames.

It's paused so motion frames are identical — good confirmation that pause freezes everything (frames identical over 1.6s).

Now resume and capture motion to see the animation advancing, including the wrap.

Also note the composition looks nice. But the shapes overlap somewhat (blue circle overlaps pink). Acceptable.

Let's resume and takemotion frames.

Time is limited. index.html is saved and working. Let me do one quick motion capture to confirm the loop advances and wraps smoothly, then finish.

Actually, let me just do one motion capture while running.

Everything works: shapes orbit with changing scale/corner radius, dots show a staggered traveling wave (opacities shift left→right over time), the loop is smooth, live tweens constant at 155.

One small visual nit: the dots wave travels but at times all dots are dim (trough) — fine.

The file is saved at /tmp/job-1QKcmR/index.html. Let me do a final sanity check that the file exists and no console errors. Already confirmed. I'm done — but maybe quickly clean up the debug readout? It's a nice extra. Keep it.

Final verification of file presence.