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HTML

              
                - var nf = 6; //- number of cube faces
- var fdata = ['rotateY', 'translateX', 'rotateZ'];
- var vdata = [90, 50, 90];
- var udata = ['deg', '%'];
- var nc = 3;
- var r = 400, d = 2*r, n = 3, rr = .1*r;
- var c = 2*Math.PI*r;

mixin roundpoly(n, r, rr)
	- var ba = 2*Math.PI/n;
	- var va = (n - 2)*Math.PI/n;
	- var oa = .5*(Math.PI - va);
	- var v = [];
	- var d = '';
	- for(var i = 0; i < n; i++) {
		- var ca = i*ba;
		- var x0 = r*Math.cos(ca);
		- var y0 = r*Math.sin(ca);
		- var sa = ca - oa;
		- var xs = x0 + rr*Math.cos(sa);
		- var ys = y0 + rr*Math.sin(sa);
		- v.push([xs, ys]);
		- d += (i?'L':'M') + [xs, ys];
		- var ea = ca + oa;
		- var xe = x0 + rr*Math.cos(ea);
		- var ye = y0 + rr*Math.sin(ea);
		- d += 'A' + [rr, rr, 0, 0, 1, xe, ye].join(' ');
		- v.push([xe, ye])
	- }
	- d += 'z';
	path(d=d)

input(type='checkbox' id='run')

svg(width='0' height='0')
	defs
		marker#arrow(viewBox='-50 -70 250 140' 
								 markerUnits='strokeWidth'
								 markerWidth='70' 
								 markerHeight='56'
								 orient='auto' refX='100')
			polygon(points='50,0 0,-50 150,0 0,50')
	symbol#s(viewBox='-450 -450 900 900')
		line(x2='47%')
		circle(r='1.75%')

section.scene
	.cube
		while nf--
			.square.cube__face
		.square.ini
			svg
				use(xlink:href='#s')
		.square.ani.basic
			svg
				use(xlink:href='#s')

pre
	while nc--
		- var i = nc%2;
		span.tf
			span.token--fnc #{fdata[nc]}
			| (
			span.token--var #{vdata[nc]}
			span.token--uni #{udata[i]}
			| ) 

label(for='run')
	svg(viewBox=[-r, -r, d, d].join(' '))
		defs
			clipPath#cpc
				circle#c(r=r transform='rotate(-90)')
		use(xlink:href='#c' clip-path='url(#cpc)' 
				stroke-dasharray=c 
				stroke-dashoffset=c)
		+roundpoly(n, r - 3*rr, rr)
              
            
!

CSS

              
                @import 'compass/css3';

$chain: rotateZ(90deg) translateX(50%) 
				rotateY(90deg);
$n-states: length($chain) + 2;
$perc: 100%/$n-states;
$d-play: 8em;

* {
	margin: 0;
	padding: 0;
	fill: currentColor;
	vector-effect: non-scaling-stroke;
}

html { overflow: hidden; }

body {
	display: flex;
	flex-direction: column;
	margin: 0;
	min-width: 10em; height: 100vh;

	> svg, > input, > label {
		position: absolute;
	}
	
	@media (min-aspect-ratio: 105/100) 
		 and (min-width: 50em) {
		flex-direction: row;

		pre {
			width: 10em;
			display: flex;
			flex-direction: column;
			justify-content: center;
		}
	}
}

line {
	stroke: currentColor;
	stroke-width: 2px;
	marker-end: url(#arrow);
	vector-effect: non-scaling-stroke;
}

div {
	position: absolute;
	transform-style: preserve-3d;
}

pre {
	order: 1;
	padding: .5em 1em;
	background: #111;
	color: #ccc;
	font: .875em/2 courier;
	white-space: pre-wrap;
	
	@media (min-width: 15em) {
		font-size: 1em;
	}
	
	@media (min-width: 20em) {
		font-size: 1.25em;
	}
	
	@media (min-width: 75em) {
		font-size: 1.5em;
	}
}

body > svg { position: absolute; }

.hidden { opacity: .001; }

.scene {
	flex: 1;
	order: 2;
	perspective: 32em;
	perspective-origin: calc(50% - 10em) 50%;
}

.cube {
	--inradius: 19%;
	
	top: 50%; left: 50%;
	margin: calc(-1*var(--inradius));
	padding: var(--inradius);
	
	&__face {
		box-shadow: inset 0 0 0 1px black;
		background: rgba(whitesmoke, .35);
		
		@for $i from 0 to 6 {
			$s: pow(-1, $i);
			
			&:nth-child(#{$i + 1}) {
				transform: if($i < 4, 
					rotateY($i*90deg), 
					rotate($s*90deg))
				translate(50%) rotateY(90deg);
			}
		}
	}
	
	@media (min-aspect-ratio: 1/1) 
		and (min-width: 50em) {
			--inradius: 15%;
	}
	
	@media (min-aspect-ratio: 13/10) {
		@media (min-width: 62.5em) {
			--inradius: 12.5%;
		}

		@media (min-width: 75em) {
			--inradius: 10%;
		}

		@media (min-width: 100em) {
			--inradius: 8%;
		}
	}
}

.square {
	top: 0; right: 0; bottom: 0; left: 0;
	
	&:not(.cube__face) {
		> svg { width: 100%; height: 100%; }
		
		@media (min-width: 20em) {
			&:after {
				position: absolute;
				right: .25em; bottom: 50%;
				font: italic 2em/1.5 times new roman, serif;
				content: 'x';
			}
		}
	}
}

.ini { background: rgba(silver, .35); }

.ani { background: rgba(#ee8c25, .75); }

.basic {
	animation: ani 5s linear infinite;
	animation-play-state: paused;
}

@keyframes ani {
	0%, 20% {
		transform: rotateZ(0deg) 
			translateX(0%) rotateY(0deg);
	}
	40% {
		transform: rotateZ(90deg) 
			translateX(0%) rotateY(0deg);
	}
	60% {
		transform: rotateZ(90deg) 
			translateX(50%) rotateY(0deg);
	}
	80%, 100% {
		transform: rotateZ(90deg) 
			translateX(50%) rotateY(90deg);
	}
}

.token {
	&--fnc { color: mix(#fff, #1c9edc); }
	&--uni { color: mix(#fff, #a048b9); }
	
	&--var {
		color: mix(#fff, #d14730);
		font-weight: 900;
	}
}

[id='run'] {
	position: absolute;
	left: -100vw;
	
	&:checked {
		& ~ .scene .basic {
			animation-play-state: running;
		}
		
		& ~ [for='run'] { opacity: .001; }
	}
}

[for='run'] {
	display: flex;
	justify-content: center;
	position: absolute;
	z-index: 3;
	top: 0; left: 0;
	width: 100vw; height: 100vh;
	opacity: .999;
	transition: opacity .5s;
	cursor: pointer;
	
	svg {
		align-self: center;
		width: $d-play; height: $d-play;
		
		&:hover use {
			stroke-dashoffset: 0;
		}
	}
	
	* {
		fill: none;
		stroke: #4ca454;
	}
	
	use {
		transition: stroke-dashoffset 1s 
			ease-in-out;
		stroke-width: .5em;
	}
	
	path { stroke-width: .25em; }
}
              
            
!

JS

              
                const AF = 180/Math.PI, 
			_run = document.getElementById('run'), 
			_ani = document.querySelector('.ani'), 
			_tfs = document.querySelectorAll('.tf'), 
			vsel = '.token--var', 
			_v = document.querySelectorAll(vsel);

let pf, rID = null, hflag = null, 
		rfs = [null, null, null];

function update() {
	let m = getComputedStyle(_ani).transform, 
			ba, ra, ca, p;
	
	m = m.replace(/matrix|3d|\(|\)|\s/g, '')
			.split(',');
	
	m = m.map(c => { return parseFloat(c) });
	
	switch(m.length) {
		case 6:					
			switch(true) {
				case m[5] === 0 && m[0] < 1:
					ba = Math.atan2(m[1], m[0])*AF;
					ra = Math.round(ba);
					_v[0].textContent = ra;
					
					if(hflag && rfs[0]) {
						_tfs[0].classList.remove('hidden')
						rfs[0] = hflag = false;
					}
					break;
				case m[5] > 0:
					_v[0].textContent = 90;
					p = Math.round(m[5]*pf);
					_v[1].textContent = p;
					
					if(rfs[1]) {
						_tfs[1].classList.remove('hidden')
						rfs[1] = false;
					}
					break;
				default:
					if(!hflag) resetChain();
			}
			break;
		case 16:
			_v[1].textContent = 50;
			ba = Math.atan2(-m[2], m[10])*AF;
			ra = Math.round(ba);
			_v[2].textContent = ra;
			
			if(rfs[2]) {
				_tfs[2].classList.remove('hidden')
				rfs[2] = false;
			}
			break;
	}
	
	rID = requestAnimationFrame(update);
};

function size() {
	pf = 100/_ani.getBoundingClientRect().width;
};

function resetChain() {
	size();
	
	for(let i = 0; i < 3; i++) {
		_tfs[i].classList.add('hidden');
		_v[i].textContent = 0;
		rfs[i] = true;
	}
	
	hflag = true;
};

resetChain();

addEventListener('resize', size, false);

_run.addEventListener('change', e => {
	if(_run.checked) { update(); }
	else { cancelAnimationFrame(rID); }
}, false);
              
            
!
999px

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