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HTML

              
                .polyhedron.polyhedron--rhombic-dodecahedron
  -(1..12).each do |i|
    .piece.polyhedron--rhombic-pyramid
      -(1..4).each do |i|
        .face.face--lateral-triangle
      .face.face--base-rhombus
              
            
!

CSS

              
                @import 'compass/css3';

// EDITABLE STUFF
$a: 8em; // small diagonal of rhombus
$te: 5s; // explosion animation duration
$tr: $te; // rotation animation duration
$shades: dodgerblue royalblue cornflowerblue deepskyblue 
    lightskyblue lightseagreen darkturquoise cadetblue 
    lightblue teal skyblue aqua;
$of: .3; // opacity factor
$bc: black; // border of rhombic/ triangular faces 

// DO NOT CHANGE STUFF
$n: 12;

// TRIGONOMETRY STUFF
$pi: pi()*1rad;

$angle-units:
  'rad'        'deg'        'grad'          'turn'       '', 
      1   180deg/$pi   200grad/$pi   1turn/(2*$pi)   1/1rad;

@function convert-unit($table, $value-in, $unit-out) {
  $units: nth($table, 1);
  $factors: nth($table, 2);
  
  $idx-in: index($units, unit($value-in));
  $idx-out: index($units, $unit-out);
  
  $result: false;
  
  @if $idx-in and $idx-out {
    $result: 
      $value-in*nth($factors, $idx-out)/nth($factors, $idx-in);
  }
  @else {
    @warn 'Cannot convert #{unit($value-in)} to $#{$unit-out}.';
  }
  
  @return $result;
}

@function convert-angle($value-in, $unit-out) {
  @return convert-unit($angle-units, $value-in, $unit-out);
}

@function rad($value-in) {
  @return convert-angle($value-in, 'rad');
}

@function deg($value-in) {
  @return convert-angle($value-in, 'deg');
}

@function grad($value-in) {
  @return convert-angle($value-in, 'grad');
}

@function turn($value-in) {
  @return convert-angle($value-in, 'turn');
}

@function strip-rad($value-in) {
  @return convert-angle($value-in, '');
}


@function sinu($angle) {
  @return sin(strip-rad($angle));  
}

@function cosu($angle) {
  @return cos(strip-rad($angle));
}

@function tanu($angle) {
  @return tan(strip-rad($angle));
}


@function asin($value, $unit: 'rad', $precision: 25) {
  $coeff: 1;
  $sum: 0;
  $flag: 0;
  $sign: 1;
  
  @if $value > 1 {
    @warn 'Invalid input.';
    @return false;
  }
  
  @if abs($value) > 1/sqrt(2) {
    $flag: 1;
    $sign: $value/abs($value);
    $value: sqrt(1 - pow($value, 2));
  }
  
  $sum: $sum + $coeff*$value;
  
  @for $i from 1 through $precision {
    $coeff: $coeff*(2*$i - 1)/(2*$i);
    $sum: $sum + $coeff*pow($value, 2*$i + 1)/(2*$i + 1);
  }
  
  $result: $sign*($flag*pi()/2 + pow(-1, $flag)*$sum);
  
  @if $unit != '' {
    $result: convert-angle($result, $unit);
  }
  
  @return $result;
}

@function acos($value, $unit: 'rad', $precision: 25) {
  $result: pi()/2 - asin($value, '', $precision);
  
  @if $unit != '' {
    $result: convert-angle($result, $unit);
  }
  
  @return $result;
}

@function atan($value, $unit: 'rad', $precision: 25) {
  $value: $value/sqrt(1 + pow($value, 2));
  
  @return asin($value, $unit, $precision);
}

// COMPUTED STUFF
$d2: $a*sqrt(2); // big diagonal of rhombus
$l: $a*sqrt(3)/2; // side of rhombus
$hp: $d2/2; // pyramid height
$hr: 2*$a/sqrt(6); // distance between opposite sides of rhombus

$va: 2*atan(($a/2)/($d2/2)); // acute angle of rhombus
$oa: $pi - $va; // obtuse angle of rhombus
$sa: $pi/2 - $va; // skew angle
$sf: cosu($sa); // scale factor after skew
$da: $pi/3; // dihedral angle
$pa: asin(($a/2)/$l, 'rad');

// mixin for central positioning
@mixin size-pos($w, $h: $w) {
  @if $w != $h { margin: -$h/2 (-$w/2); }
  @else { margin: -$w/2; }
  width: $w; height: $h;
}

html, body {
  overflow: hidden;
  margin: 0;
  height: 100%;
  perspective: 25em;
  background: dimgrey;
}

.polyhedron, .polyhedron *, .polyhedron *:before {
  position: absolute;
  top: 50%; left: 50%;
  transform-style: preserve-3d;
}
.polyhedron--rhombic-dodecahedron {
  transform: rotateY(-45deg) rotateX(15deg);
  animation: rot $tr linear infinite;
}
@keyframes rot {
  to { transform: rotateY(315deg) rotateX(15deg); }
}

@for $i from 0 to $n {
  $ra: (1 - pow(-1, floor($i/2)%2))*$pi/2 + pow(-1, $i)*$va/2;
  $rot: if($i%6 < 4, 
    'rotateY(#{$ra}) rotateX(#{$da}) rotateY(#{$ra})', 
    'rotate(#{(1 - pow(-1, $i%2))*$pi/4})');
  .piece:nth-child(#{$i + 1}) {
    transform: 
      rotate((1 - pow(-1, floor($i/6)))*$pi/2) 
      unquote($rot) 
      translateY($d2/2);
    animation: ani#{$i + 1} ($te) linear infinite alternate;
    .face--base-rhombus {
      $c: rgba(nth($shades, $i + 1), $of);
      background: linear-gradient(-45deg, 
          lighten($c, 15%), darken($c, 15%), lighten($c, 15%));
    }
    @for $j from 0 to 4 {
      .face--lateral-triangle:nth-child(#{$j + 1}):before {
        $c: rgba(yellow, $of);
        $c2: rgba(darkorange, $of);
        background: linear-gradient(random(360)*1deg, $c, $c2);
      }
    }
  }
  @keyframes ani#{$i + 1} {
    0%, 20% {
      transform: 
        rotate((1 - pow(-1, floor($i/6)))*$pi/2) 
        unquote($rot) 
        translateY($d2/2);
    }
    40% {
      transform: 
        rotate((1 - pow(-1, floor($i/6)))*$pi/2) 
        unquote($rot) 
        translateY($d2);
    }
    60% {
      transform: 
        rotate((1 - pow(-1, floor($i/6)))*$pi/2) 
        unquote($rot) 
        translateY($d2) 
        rotateX($pi);
    }
    80%, 100% {
      transform: 
        rotate((1 - pow(-1, floor($i/6)))*$pi/2) 
        unquote($rot) 
        translateY($d2) 
        rotateX($pi) 
        translateY($d2/2);
    }
  }
}

.face {
  @include size-pos($l);
  //backface-visibility: hidden;
}
.face--lateral-triangle {
  overflow: hidden;
  transform-origin: 50% 100%;
  @for $i from 0 to 4 {
    &:nth-child(#{$i + 1}) {
      $ra: (1 - pow(-1, floor($i/2)%2))*pi()/2*1rad + 
           pow(-1, $i)*$va/2;
      box-shadow: inset pow(-1, $i)*.0625em -.125em $bc;
      transform: 
        translateY(-$l/2) 
        rotateY($ra) 
        translateZ($hr/2) 
        translateX(pow(-1, $i)*$l/2*sinu($sa)) 
        rotateX($pi/2 - $da) 
        skewX(pow(-1, $i + 1)*$sa) 
        scaleY($sf);
      &:before {
        @include size-pos($a);
        transform: scaleY(1/$sf) 
                   skewX(pow(-1, $i)*$sa) 
                   rotate(pow(-1, $i + 1)*(pi()*1rad/2 - $oa/2)) 
                   translateX(pow(-1, $i + 1)*50%);
        box-shadow: 
          inset pow(-1, $i + 1)*.0625em 0 rgba($bc, 1 - $of);
        background: hsla(random(360), 100%, 50%, .2);
        content: '';
      }
    }
  }
}
.face--base-rhombus {
  transform: 
    rotateX(-$pi/2)
    rotate(-$va/2) 
    skewX($sa) 
    scaleY($sf);
    box-shadow: inset 0 0 0 .0625em $bc;
    background: hsla(random(360), 100%, 50%, .2);
}
              
            
!

JS

              
                // Only tested in Chrome & Firefox
// Yup, pure CSS. No JS here
              
            
!
999px

Console