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HTML 

              
                %input{:type => "checkbox", :id => "btn"}
%label{:for => "btn", :class => "btn"}
  %span.unchecked Play!
  %span.checked Pause!
%ul.poly.penta-antiprism
  - (1...11).each do |i|
    %li.face.tri.in
  - (1...3).each do |i|
    %li.face.penta
      %div.in
!

CSS 

              
                @import "compass/css3";

$n: 5; /* number of sides; 5 in the case of a pentagon */

/* angles */
$a: 180*($n - 2)/$n; /* angle of polygon */
$sa: 180 - $a; /* supplementary angle of polygon */
$ca: 360/$n; /* central angle of polygon */
/* acute angle between triangular face and plane of the pentagon for penta antiprism 
it's actually computed from acos(($cr - $ir)/$h)
I just didn't know about inverse trigonometric functions in SASS
*/
$da: 79.188;

/* lengths */
$l: 8em; /* length of a polygon side */
$h: $l*sqrt(3)/2; /* height of a regular triangle of side $l */
/* length of a pentagon diagonal */
$diagpenta: 2*$l*sin(($a/2)*pi()/180);
/* length of side of a square from which I start constructing 
   the pentagon*/
$start: ($diagpenta/2)/sin(((180 - 2*(180 - $a))/2)*pi()/180);
/* distance between a pentagon vertex and the closest diagonal */
$hdiagp: $l*cos(($a/2)*pi()/180);
/* distance between a pentagon vertex and the opposite side */
$hpenta: $start*cos(($a/2)*pi()/180);
$x: $hpenta - $hdiagp;
$ir: $l*sqrt((2*sqrt(5) + 5)/20); /* inradius for pentagon */
$cr: $l*sqrt((sqrt(5) + 5)/10); /* circumradius for pentagon */
$mr: ($cr + $ir)/2; /*average between inradius & circumradius*/
$cf: $hpenta/2 - $ir; /* correction factor */
$d: $h*sin($da*pi()/180); /* distance between the end pentagons */

*, *:before {
  position: inherit;
  width: inherit; height: inherit;
}
.in:before {
  background: rgba(255,0,0,1);
  content: '';
}
.in:nth-child(odd):before {
  background: rgba(0,0,255,1);
}

html {
  overflow: hidden;
  height: 100%;
  perspective: 20em;
  background: dimgrey;
}
.poly {
  position: absolute;
  left: 50%; top: 50%;
  margin: 0;
  padding: 0;
  width: 0; height: 0;
  list-style: none;
	transform: rotateZ(-50deg) rotateX(75deg) rotateY(-170deg);
	transform-style: preserve-3d;
  animation-play-state: paused;
	animation: rot 20s infinite linear;
  pointer-events: none;
}
@keyframes rot {
  to { transform: rotateZ(310deg) rotateX(-285deg) rotateY(190deg); }
}
.face {
  overflow: hidden;
  position: inherit;
  left: inherit; top: inherit;
  backface-visibility: hidden;
}
.tri {
  $nt: 3;
  $at: 180*($nt - 2)/$nt; /* angle of polygon */
  $sat: 180 - $at; /* supplementary angle of polygon */
  /* acute angle of created parallelogram */
  $aapara: 180 - 2*$sat;
  /* scale factor to turn the parallelogram to a rhombus */
  $sfactor: cos((90 - $aapara)*pi()/180);
  
  margin: -$l/2;
  width: $l; height: $l;
  
  @for $i from 1 to 11 {
    &:nth-child(#{$i}) {
      transform: 
        rotate(#{$i*360/(2*$n)}deg) 
        translateY($mr)
        rotateX(#{(1 - pow(-1,$i+1))*90 - pow(-1,$i)*$da}deg) 
        translateY(pow(-1,$i)*$l*sqrt(3)/4)
        rotateY(180deg) 
        rotate(#{$aapara/2}deg) 
        skewY(#{90 - $aapara}deg) 
        scaleX($sfactor);
      &:before {
        $revsfactor: 1/$sfactor;
        $revaapara: -$aapara;
    
        transform: 
          scaleX($revsfactor) 
          skewY(#{-$revaapara - 90}deg) 
          rotate(#{$revaapara/2}deg) 
          translateY(pow(-1,$i+1)*$l/2);
      }
    }
  }
  &:before {
    background: 
      radial-gradient(circle at 0 100%, hsl(60, 100%, 50%), hsla(0, 100%, 50%, 0) 50%), 
      radial-gradient(circle at 100% 100%, hsl(120, 100%, 50%), hsla(180, 100%, 50%, 0) 50%), 
      radial-gradient(circle at 50% 13.333%, hsl(240, 100%, 50%), hsla(300, 100%, 50%, 0) 50%)
  }
  &:nth-child(odd):before {
    background: 
      radial-gradient(circle at 0 0, hsl(60, 100%, 50%), hsla(0, 100%, 50%, 0) 50%), 
      radial-gradient(circle at 100% 0, hsl(120, 100%, 50%), hsla(180, 100%, 50%, 0) 50%), 
      radial-gradient(circle at 50% 86.667%, hsl(240, 100%, 50%), hsla(300, 100%, 50%, 0) 50%)
  }
}
.penta {
  $aapara: 180 - 2*$sa;
  /* scale factor to turn the parallelogram to a rhombus */
  $sfactor: cos((90 - $aapara)*pi()/180);
  
  margin: -$start/2;
  width: $start; height: $start;
  transform: 
    translateZ($d/2) 
    /* the .93 correction factor is the only thing here 
    that is trial and error, for some reason, 
    it won't be correctly positioned otherwise
    rounding errors or am I missing something? */
    translateY($cf - ($start/2 - $x)*.93) 
    rotate(#{$aapara/2}deg) 
    skewY(#{90 - $aapara}deg) 
    scaleX($sfactor);
  
  .in {
    $revsfactor: 1/$sfactor;
    $revaapara: -$aapara;
    $aapara: 180 - $a;
    $sfactor: cos((90 - $aapara)*pi()/180);
    
    overflow: hidden;
    transform: 
      scaleX($revsfactor) 
      skewY(#{-$revaapara - 90}deg) 
      rotate(#{$revaapara/2}deg) 
      translateY($x) 
      rotate(#{-$aapara/2}deg) 
      skewX(#{90 - $aapara}deg) 
      scaleY($sfactor);
    
    &:before {
      $revsfactor: 1/$sfactor;
      $revaapara: -$aapara;
      
      transform:
        scaleY($revsfactor) 
        skewX(#{-$revaapara - 90}deg) 
        rotate(#{-$revaapara/2}deg) 
        translateY(-$start/2);
      background: rgba(0,255,0,1);
      background: 
        radial-gradient(circle at ($start - $l)/2 100%, 
                    hsl(0, 100%, 50%), hsla(0, 100%, 50%, 0) 50%), 
        radial-gradient(circle at ($start + $l)/2 100%, 
                    hsl(72, 100%, 50%), hsla(72, 100%, 50%, 0) 50%),
        radial-gradient(circle at ($start + $l)/2 + $l*cos(72*pi()/180) $start - $l*sin(72*pi()/180), 
                    hsl(144, 100%, 50%), hsla(144, 100%, 50%, 0) 50%), 
        radial-gradient(circle at 50% $start - ($l*sin(72*pi()/180) + $l*sin(36*pi()/180)), 
                    hsl(216, 100%, 50%), hsla(216, 100%, 50%, 0) 50%),
        radial-gradient(circle at ($start - $l)/2 - $l*cos(72*pi()/180) $start - $l*sin(72*pi()/180), 
                    hsl(288, 100%, 50%), hsla(288, 100%, 50%, 0) 50%);
        background-size: $start $start;
    }
  }
  &:nth-child(even) {
    $aapara: 180 - 2*$sa;
    /* scale factor to turn the parallelogram to a rhombus */
    $sfactor: cos((90 - $aapara)*pi()/180);
   
    transform: 
      rotateY(180deg)
      translateZ($d/2) 
      translateY(($start/2 - $x) - $cf)
      rotate(#{$aapara/2}deg) 
      skewY(#{90 - $aapara}deg) 
      scaleX($sfactor);
    
    .in {
      $revsfactor: 1/$sfactor;
      $revaapara: -$aapara;
      $aapara: 180 - $a;
      $sfactor: cos((90 - $aapara)*pi()/180);
      
      transform: 
        scaleX($revsfactor) 
        skewY(#{-$revaapara - 90}deg) 
        rotate(#{$revaapara/2}deg) 
        translateY(-$x) 
        rotate(#{-$aapara/2}deg) 
        skewX(#{90 - $aapara}deg) 
        scaleY($sfactor);
      
      &:before {
        $revsfactor: 1/$sfactor;
        $revaapara: -$aapara;
      
        transform:
          scaleY($revsfactor) 
          skewX(#{-$revaapara - 90}deg) 
          rotate(#{-$revaapara/2}deg) 
          translateY($start/2);
        background: 
        radial-gradient(circle at ($start - $l)/2 0, 
                    hsl(0, 100%, 50%), hsla(0, 100%, 50%, 0) 50%), 
        radial-gradient(circle at ($start + $l)/2 0, 
                    hsl(72, 100%, 50%), hsla(72, 100%, 50%, 0) 50%),
        radial-gradient(circle at ($start + $l)/2 + $l*cos(72*pi()/180) $x, 
                    hsl(144, 100%, 50%), hsla(144, 100%, 50%, 0) 50%), 
        radial-gradient(circle at 50% $hpenta, 
                    hsl(216, 100%, 50%), hsla(216, 100%, 50%, 0) 50%),
        radial-gradient(circle at ($start - $l)/2 - $l*cos(72*pi()/180) $x, 
                    hsl(288, 100%, 50%), hsla(288, 100%, 50%, 0) 50%);
        background-size: $start $start;
      }
    }
  }
}
/* animate button styles */
input[type=checkbox] {
  display: none;
}
.btn {
  overflow: hidden;
  position: absolute;
  z-index: 10;
  top: .25em;
  left: 50%;
  border-radius: 0.5em;
  box-shadow: 0 1px 0 black, 0 -1px 0 #96d1f8;
  margin: 0 -3.25em;
  opacity: 0.45;
  background: #65a9d7 linear-gradient(#3e779d, #65a9d7);
  color: white;
  font: 700 italic 1em/2.6 Georgia, serif;
  text-shadow: 0 1px 0 black;
  cursor: pointer;
  transition: 0.7s;
}
.btn:hover { opacity: 1; }
.btn, .btn span { width: 6.5em; height: 2.6em; }
.btn span {
  position: absolute;
  text-align: center;
  transition: 0.5s;
}
.unchecked { top: 0; }
.checked { top: 100%; }
input[type=checkbox]:checked ~ .btn .unchecked { top: -100%; }
input[type=checkbox]:checked ~ .btn .checked { top: 0; }
            
input[type=checkbox]:checked ~ .poly {
  animation-play-state: running;
}
!

JS
!
999px

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