27:18Gemini 4 Hydrogen: Cheaper Tokens, More Expensive Answers?
Nov 13, 2026 · YouTube
18:40ERNIE 5.5 Flash Preview vs GLM 5.3 Flash: Baidu's new model is very impressive!
Nov 11, 2026 · YouTube
36:22Fable 5.2 robbing me blind, plus: Nex AGI's N2.6 vs GLM 5.3 Flash
Nov 11, 2026 · YouTube
14:03Gemini 4 Carbon: Can it handle my challenges? (First look with one-shot coding tests)
Nov 10, 2026 · YouTube
47:51Ranking major U.S. Open-Weights Models. (Where does Ripple 65B fit in?)
Nov 6, 2026 · YouTube
10:57"Crouton Alpha": the latest super-efficient coding model by Meta?
Nov 3, 2026 · YouTube
38:58Testing Particle-1: a post-trained DeepSeek V4.1 Flash specializing in coding and efficiency
Oct 28, 2026 · YouTube
22:14GPT-6.1 Terra Pro vs Terra: How Much Better Is Pro?
Oct 27, 2026 · YouTube
29:55Kimi K3.1 Pro Looked Incredible. Then I Kept Testing.
Oct 26, 2026 · YouTube
17:58Nemotron 3.5 Super VL vs Opus 5.5: Testing NVIDIA’s new coding juggernaut
Oct 15, 2026 · YouTube
16:04Testing a *massive* new open-weights model 🤯: Muse Spark Open (vs. Nemotron, Opus 5.5, and more)
Oct 15, 2026 · YouTube
16:43Gemini 4 Argon: Great 🐈 Animation, but a broken escalator. (Coding challenge vs Opus 5.5, Sol 6.1)
Oct 13, 2026 · YouTube
16:37Meta's new "Muse Wonder" AI is impressive... but can it compete with Anthropic's models?
Oct 12, 2026 · YouTube
11:12WOW... Haiku 5.5 is very impressive. RIP OpenAI?
Oct 7, 2026 · YouTube
22:47Mistral Large 4 Is Cheap. But Is It Good Enough to Compete?
Oct 6, 2026 · YouTube
30:00Did Elon Musk's team "train the gay away"... and make Grok 4.7 worse?
Sep 26, 2026 · YouTube
10:58So... how much better is Claude Opus 5.5 vs. GPT-6 Sol, really?
Sep 23, 2026 · YouTube
9:38Claude Opus 5.5... the BEST new model for coding!! 🤩
Sep 22, 2026 · YouTube
29:00Grok 4.7: improved, but GLM 5.3 FlashX beat it anyway (benchmark against Gemini, Sol, etc.)
Sep 22, 2026 · YouTube
16:54Stealth Union Alpha: Is this another cheap GPT model? (better than Luna, cheaper than Terra?)
Sep 16, 2026 · YouTube
16:45DeepSeek V4.1 Flash Is Shockingly Good for the Price
Sep 10, 2026 · YouTube
17:14How much better is GPT-6 Astra over Claude Opus 5? Real Website and Coding Tests
Sep 5, 2026 · YouTube
29:13Implementing a multiplayer game with GPT-6 Astra (+ Gemini 3.8, Opus 5, Sol Pro)
Sep 5, 2026 · YouTube
17:31Testing Gemini 3.8 Flash on Real Coding Challenges (vs. other models)
Sep 2, 2026 · YouTube
17:37Tencent Hy4 Preview Tested: Is It Really Better Than Kimi K3 and GLM 5.3?
Aug 28, 2026 · YouTube
23:58Qwen 3.8 Flash Tested: UI, Coding, Physics & more - compared to Opus 5, Sol Pro, Grok
Aug 27, 2026 · YouTube
14:50Stealth Ox Alpha: a new GLM model! Full test (coding & writing) against Grok, Gemini, GPT & others
Aug 21, 2026 · YouTube
21:54GLM 5.3 Tested: Does it beat Claude Opus 5 & Grok 4.6?
Aug 19, 2026 · YouTube
21:23Giving Qwen 3.8 27B another chance (+ GLM 5.2). Testing against GPT, Gemini, Grok etc.
Aug 18, 2026 · YouTube
51:00AI Coding Showdown: Grok 4.6, Gemini 3.7, Terra-Pro, Qwen3.8 2.4TB, Muse Glimmer & more
Aug 15, 2026 · YouTube
27:51Testing Gemini 3.7 Flash: Translation, Vision, and Coding Challenges
Aug 14, 2026 · YouTube
You build physics demonstrations for a science museum. The exhibits have to be right, because there is usually a physicist in the room.
Build me the falling slinky.
A single HTML page. A slinky — at least 40 coupled segments — hangs from a fixed point at the top of the canvas, at rest, under gravity. Then it is released.
Controls:
data: URIs are fine.localStorage, sessionStorage, cookies or indexedDB — sandboxed frame, they throw.html block.Before the file, and before you write it. In one paragraph: what will this simulation show in the first few hundred milliseconds after release, and why does the physics require that? Be concrete about what each end of the slinky does and roughly when.
Commit to this. It is the claim I am going to test your simulation against.
Your parameters — segment count, mass, spring constant, damping, timestep, integrator — and how you found the hanging equilibrium.
The single fenced html block.
Now be honest. Having written it, does the simulation reproduce what you predicted?
Say plainly if it does not. Say if you are unsure. Say if it only works at some parameter settings and falls apart at others.
Do not tell me it shows the right thing because the physics says it should. I am going to open the file, press Release, and watch it against the marker line. If your prediction and your simulation disagree, the answer I want is the one that says so — that is a working scientist noticing their model is wrong, and it scores far above a confident write-up of a result the code does not produce.
The bottom of the slinky will not move at all, to within a micrometre, for about 260 ms after release. It hangs on the marker line while the top comes down to meet it.
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>The falling slinky</title>
<style>
html,body{margin:0;background:#111418;color:#e6e6e6;font:14px/1.45 system-ui,-apple-system,"Segoe UI",Roboto,sans-serif}
#wrap{max-width:980px;margin:0 auto;padding:12px}
h1{font-size:20px;margin:4px 0 10px;font-weight:600}
#controls{display:flex;flex-wrap:wrap;gap:10px;align-items:center;margin-bottom:8px}
button{font:inherit;padding:6px 16px;border-radius:6px;border:1px solid #556;background:#243044;color:#fff;cursor:pointer}
button:hover:not(:disabled){background:#2f3f5a}
button:disabled{opacity:.4;cursor:default}
#release{background:#7a2b2b;border-color:#a44}
#release:hover:not(:disabled){background:#943535}
label{display:flex;align-items:center;gap:6px}
input[type=range]{width:180px}
#clock{font:600 18px ui-monospace,Menlo,Consolas,monospace;margin-left:auto;color:#ffd479}
canvas{display:block;width:100%;max-width:960px;height:auto;background:#0b0e12;border:1px solid #2a2f38;border-radius:6px}
#readouts{display:grid;grid-template-columns:repeat(auto-fit,minmax(290px,1fr));gap:4px 18px;margin-top:8px;font:13px ui-monospace,Menlo,Consolas,monospace;color:#cfd6df}
#readouts b{color:#fff;font-weight:600}
.note{color:#8a94a3;font-size:12px;margin-top:8px}
</style>
</head>
<body>
<div id="wrap">
<h1>The falling slinky — 60 coils, masses & Hooke springs, no scripting</h1>
<div id="controls">
<button id="release">Release</button>
<button id="pause" disabled>Pause</button>
<button id="reset">Reset</button>
<label>Speed <input id="speed" type="range" min="0" max="100" value="100"> <span id="speedLabel">1× (real time)</span></label>
<span id="clock">t = 0.0 ms</span>
</div>
<canvas id="c" width="960" height="760"></canvas>
<div id="readouts"></div>
<div class="note">
Model: 60 point masses (M = 0.20 kg), 59 springs (k<sub>s</sub> = 59 N/m each, whole slinky k = 1 N/m, closed gap 1.5 mm),
stiff one-sided coil contact, small inter-coil damping, symplectic Euler, Δt = 10 µs.
Hanging state is the exact static equilibrium. After Release every coil obeys identical rules.
The chart shares the vertical scale of the slinky: it plots height against time.
</div>
</div>
<script>
"use strict";
// ---------------- physical parameters ----------------
const N = 60; // coils (point masses)
const M = 0.20; // total mass, kg
const m = M / N; // mass per coil
const K_TOTAL = 1.0; // stiffness of whole slinky, N/m
const KS = K_TOTAL*(N-1); // stiffness of each of the N-1 springs
const D0 = 0.0015; // closed (rest) gap between coils, m
const KC = 2.0e5; // contact stiffness when coils are pressed together, N/m
const CC = 30; // contact dashpot, N s/m
const CS = 0.005; // small inter-coil damping on the stretched spring, N s/m
const G = 9.81; // m/s^2
const DT = 1.0e-5; // integration step, s
const T_END = 0.70; // stop simulating (off chart) after this, s
const TC_THEORY = Math.sqrt(M*(N+1)/(3*K_TOTAL*N)); // rigid-contact prediction, discrete chain
// ---------------- state ----------------
const y = new Float64Array(N); // position, metres, measured DOWNWARD from the hanging point
const v = new Float64Array(N);
const a = new Float64Array(N);
let held = true, released = false, paused = false, finished = false;
let steps = 0, t = 0;
let bottom0 = 0, top0 = 0, com0 = 0, marker = null;
let moved1um = null, moved1mm = null;
let history = [];
let residual = 0;
let speed = 1, acc = 0;
function com(){ let s=0; for(let i=0;i<N;i++) s+=y[i]; return s/N; }
function equilibrium(){
// Gap i (between coil i and i+1) carries the weight of coils i+1..N-1.
y[0] = 0;
for(let i=0;i<N-1;i++) y[i+1] = y[i] + D0 + (N-1-i)*m*G/KS;
v.fill(0);
}
function forces(){
for(let i=0;i<N;i++) a[i] = G;
for(let i=0;i<N-1;i++){
const d = y[i+1]-y[i];
const dv = v[i+1]-v[i];
let f; // positive = tension pulling the pair together
if(d >= D0){
f = KS*(d-D0) + CS*dv;
} else {
let r = KC*(D0-d) - CC*dv; // contact repulsion (spring + dashpot)
if(r < 0) r = 0; // touching coils can push, not pull
f = -r;
}
a[i] += f/m;
a[i+1] -= f/m;
}
if(held) a[0] = 0; // the hanging point, only before Release
}
function step(){
forces();
for(let i=0;i<N;i++){ v[i] += a[i]*DT; y[i] += v[i]*DT; }
if(held){ v[0]=0; y[0]=0; }
}
function reset(){
held = true; released = false; paused = false; finished = false;
steps = 0; t = 0; acc = 0; marker = null; moved1um = null; moved1mm = null; history = [];
equilibrium();
forces();
residual = 0;
for(let i=1;i<N;i++) residual = Math.max(residual, Math.abs(a[i]*m));
btnRelease.disabled = false; btnPause.disabled = true; btnPause.textContent = "Pause";
}
function release(){
if(released) return;
held = false; released = true; steps = 0; t = 0; acc = 0;
bottom0 = y[N-1]; top0 = y[0]; com0 = com();
marker = bottom0;
history = [[0, y[0], y[N-1], com0]];
btnRelease.disabled = true; btnPause.disabled = false;
}
// ---------------- UI ----------------
const btnRelease = document.getElementById('release');
const btnPause = document.getElementById('pause');
const btnReset = document.getElementById('reset');
const slider = document.getElementById('speed');
const speedLabel = document.getElementById('speedLabel');
const clockEl = document.getElementById('clock');
const readEl = document.getElementById('readouts');
btnRelease.onclick = release;
btnReset.onclick = reset;
btnPause.onclick = () => { paused = !paused; btnPause.textContent = paused ? "Resume" : "Pause"; };
function setSpeed(){
speed = Math.pow(20, (slider.value-100)/100); // 1 .. 1/20, logarithmic
speedLabel.textContent = speed > 0.995 ? "1\u00d7 (real time)" : "1/" + (1/speed).toFixed(1) + "\u00d7";
}
slider.oninput = setSpeed; setSpeed();
// ---------------- drawing ----------------
const cv = document.getElementById('c');
const ctx = cv.getContext('2d');
const W = 960, H = 760;
function resize(){
const dpr = window.devicePixelRatio || 1;
cv.width = W*dpr; cv.height = H*dpr;
ctx.setTransform(dpr,0,0,dpr,0,0);
}
window.addEventListener('resize', resize); resize();
const Y0 = 50, SCALE = 300; // px at hanging point, px per metre
const sy = w => Y0 + w*SCALE;
const CX = 200, RX = 70, RY = 5; // slinky drawing
const X0 = 390, X1 = 935, TMAX = 0.70; // chart
const tx = s => X0 + (s/TMAX)*(X1-X0);
function draw(){
ctx.fillStyle = '#0b0e12'; ctx.fillRect(0,0,W,H);
// ruler (metres below hanging point)
ctx.strokeStyle = '#3a414c'; ctx.fillStyle = '#7d8795'; ctx.lineWidth = 1;
ctx.font = '11px ui-monospace,Menlo,Consolas,monospace';
for(let k=0;k<=23;k++){
const yy = sy(k*0.1);
if(yy > H) break;
ctx.beginPath(); ctx.moveTo(40,yy); ctx.lineTo(k%5===0?58:50,yy); ctx.stroke();
if(k%5===0) ctx.fillText((k/10).toFixed(1)+' m', 4, yy+4);
}
ctx.beginPath(); ctx.moveTo(40,Y0); ctx.lineTo(40,H); ctx.stroke();
// ceiling and clamp
ctx.fillStyle = '#6b7380'; ctx.fillRect(CX-95, Y0-22, 190, 8);
if(held){
ctx.fillStyle = '#9aa3af'; ctx.fillRect(CX-5, Y0-14, 10, 12);
} else {
ctx.fillStyle = '#4a515c'; ctx.fillRect(CX-5, Y0-14, 10, 5);
}
// marker line at bottom-at-release
if(marker !== null){
ctx.save();
ctx.strokeStyle = '#ff5a5a'; ctx.setLineDash([8,6]); ctx.lineWidth = 1.5;
ctx.beginPath(); ctx.moveTo(60, sy(marker)); ctx.lineTo(W-10, sy(marker)); ctx.stroke();
ctx.restore();
ctx.fillStyle = '#ff7a7a'; ctx.font = '12px system-ui,sans-serif';
ctx.fillText('bottom of slinky at release', 64, sy(marker)-6);
}
// coils
ctx.lineWidth = 1.6;
for(let i=0;i<N;i++){
const hue = 200 - 160*i/(N-1);
ctx.strokeStyle = `hsl(${hue},75%,62%)`;
ctx.beginPath(); ctx.ellipse(CX, sy(y[i]), RX, RY, 0, 0, 2*Math.PI); ctx.stroke();
}
// centre of mass tick
const ycm = sy(com());
ctx.fillStyle = '#ffffff';
ctx.beginPath(); ctx.moveTo(CX+RX+22, ycm); ctx.lineTo(CX+RX+34, ycm-6); ctx.lineTo(CX+RX+34, ycm+6); ctx.closePath(); ctx.fill();
ctx.font = '12px system-ui,sans-serif'; ctx.fillText('CM', CX+RX+38, ycm+4);
// chart: height vs time, sharing the slinky's vertical scale
ctx.strokeStyle = '#262c35'; ctx.lineWidth = 1; ctx.fillStyle = '#7d8795';
ctx.font = '11px ui-monospace,Menlo,Consolas,monospace';
for(let ms=0; ms<=700; ms+=100){
const xx = tx(ms/1000);
ctx.beginPath(); ctx.moveTo(xx, Y0); ctx.lineTo(xx, H-22); ctx.stroke();
ctx.fillText(ms+' ms', xx-18, H-8);
}
// theory line
ctx.save(); ctx.strokeStyle = '#8a6d2c'; ctx.setLineDash([3,4]);
ctx.beginPath(); ctx.moveTo(tx(TC_THEORY), Y0); ctx.lineTo(tx(TC_THEORY), H-22); ctx.stroke(); ctx.restore();
ctx.fillStyle = '#c9a24a'; ctx.fillText('predicted t_c = '+(TC_THEORY*1000).toFixed(0)+' ms', tx(TC_THEORY)+4, Y0+12);
if(history.length > 1){
// free fall reference for CM
ctx.save(); ctx.strokeStyle = 'rgba(255,255,255,0.45)'; ctx.setLineDash([5,5]); ctx.lineWidth = 1.2;
ctx.beginPath();
for(let k=0;k<=100;k++){
const s = t*k/100; const xx = tx(s), yy = sy(com0 + 0.5*G*s*s);
if(k===0) ctx.moveTo(xx,yy); else ctx.lineTo(xx,yy);
}
ctx.stroke(); ctx.restore();
const series = [[1,'#ffab40'],[2,'#4dd0e1'],[3,'#ffffff']];
for(const [col,colr] of series){
ctx.strokeStyle = colr; ctx.lineWidth = col===3?1.3:2;
ctx.beginPath();
for(let k=0;k<history.length;k++){
const h = history[k]; const xx = tx(h[0]), yy = sy(h[col]);
if(k===0) ctx.moveTo(xx,yy); else ctx.lineTo(xx,yy);
}
ctx.stroke();
}
}
// legend
const lg = [['#ffab40','top coil'],['#4dd0e1','bottom coil'],['#ffffff','centre of mass'],['rgba(255,255,255,0.5)','\u00bdgt\u00b2 from rest (dashed)']];
ctx.font = '12px system-ui,sans-serif';
lg.forEach(([c,s],k)=>{
ctx.fillStyle = c; ctx.fillRect(X1-170, H-150+k*18, 16, 3);
ctx.fillStyle = '#cfd6df'; ctx.fillText(s, X1-148, H-145+k*18);
});
// big clock on canvas
ctx.fillStyle = '#ffd479'; ctx.font = '600 26px ui-monospace,Menlo,Consolas,monospace';
ctx.fillText((t*1000).toFixed(1).padStart(6,' ')+' ms', X1-190, 36);
ctx.font = '12px system-ui,sans-serif'; ctx.fillStyle = '#8a94a3';
ctx.fillText(held ? 'hanging (held at top)' : (finished ? 'run ended' : (paused ? 'paused' : 'falling')), X1-190, 52);
}
function fmtT(x){ return x===null ? '\u2014' : (x*1000).toFixed(2)+' ms'; }
function updateReadouts(){
clockEl.textContent = 't = ' + (t*1000).toFixed(1) + ' ms';
const topGap = (y[1]-y[0])*1000, botGap = (y[N-1]-y[N-2])*1000;
let html = '';
if(!released){
html += `<div>equilibrium residual force: <b>${residual.toExponential(1)} N</b></div>`;
html += `<div>top gap / bottom gap at rest: <b>${topGap.toFixed(1)} mm / ${botGap.toFixed(2)} mm</b></div>`;
html += `<div>hanging length: <b>${((y[N-1]-y[0])*100).toFixed(1)} cm</b></div>`;
html += `<div>predicted collapse time: <b>${(TC_THEORY*1000).toFixed(1)} ms</b></div>`;
} else {
const db = y[N-1]-bottom0, dcm = com()-com0, ff = 0.5*G*t*t;
html += `<div>bottom coil displacement: <b>${(db*1e6).toFixed(2)} \u00b5m</b></div>`;
html += `<div>top coil displacement: <b>${((y[0]-top0)*1000).toFixed(1)} mm</b> (v = ${v[0].toFixed(2)} m/s)</div>`;
html += `<div>CM drop: <b>${(dcm*1000).toFixed(2)} mm</b> vs \u00bdgt\u00b2 = ${(ff*1000).toFixed(2)} mm</div>`;
html += `<div>bottom first moved >1 \u00b5m at: <b>${fmtT(moved1um)}</b></div>`;
html += `<div>bottom first moved >1 mm at: <b>${fmtT(moved1mm)}</b></div>`;
html += `<div>predicted (rigid-contact limit): <b>${(TC_THEORY*1000).toFixed(1)} ms</b></div>`;
}
readEl.innerHTML = html;
}
// ---------------- main loop ----------------
let last = performance.now();
function frame(now){
const dtReal = Math.min((now-last)/1000, 1/30); last = now;
if(!paused && !finished){
acc += dtReal*speed;
let n = Math.floor(acc/DT); acc -= n*DT;
if(n > 6000) n = 6000;
for(let k=0;k<n;k++){
step();
if(released){
steps++; t = steps*DT;
const db = Math.abs(y[N-1]-bottom0);
if(moved1um===null && db > 1e-6) moved1um = t;
if(moved1mm===null && db > 1e-3) moved1mm = t;
if(steps % 50 === 0) history.push([t, y[0], y[N-1], com()]);
if(t >= T_END){ finished = true; history.push([t, y[0], y[N-1], com()]); btnPause.disabled = true; break; }
}
}
}
draw();
updateReadouts();
requestAnimationFrame(frame);
}
reset();
requestAnimationFrame(frame);
</script>
</body>
</html>
I have not seen this run. I cannot execute code here, so everything below is my own checking of the code and the physics. It is not an observation. The page measures the things that could prove me wrong, and those readouts are what you should believe over this section.
What I checked by hand:
if (held) in the physics is the clamp, and it ends at Release.What I expect to see, and how confident I am:
Where it could break:
Where it departs from a real slinky:
If the "bottom first moved" readout comes out far from about 260 ms, for example near 450 ms, the collapse is not behaving like an inelastic pile-up. That would mean my contact model is wrong, not the physics, and I would want to know.