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              %input{:type => "checkbox", :id => "btn"}
%label{:for => "btn", :class => "btn"}
  %span.unchecked Play!
  %span.checked Pause!

.surface
  .compressor
    -16.times do |i|
      .row
        -16.times do |j|
          .point
            
          
!
            
              // these two have to match the number of elements in the DOM
$nx: 16; // number of elements along x axis
$ny: 16; // number of elements along y axis

$nux: 4; // number of units along the x axis
$nuy: 4; // number of units along the y axis

$d: .25em; // dot diam
$u: 5em; // unit size
$p: 5.6; // max height param
$t: 16s; // rotation animation duration
$of: .75; // opacity factor

$dpux: floor($nx/$nux); // density of dots per unit along x axis
$dpuy: floor($ny/$nuy); // density of dots per unit along y axis

$minx: -1*floor($nux/2); // minimum value along x axis
$miny: -1*floor($nuy/2); // minimum value along y axis

@function asin($val, $e: pi()/7200) {
  /*
   * $val: the value for which we compute the arc sine;
   * $e: tolerated error; lower = better precision
   * 
   * the function returns the arc sine of $val
   * 
   * Examples: 
   * asin(.5) returns 29.97584deg (using default tolerated error)
   * asin(0, pi()/180) returns 0deg
   */
  
  $sum: 0; // the "infinite" sum we compute
  $sign: 1; // sign of angle
  $flag: 0; // 0 if angle in absolute value < 45deg, 1 otherwise
  $i: 0; // current index
  $c: 1;
  $j: 2*$i + 1;
  
  @if abs($val) > sin(45deg) {
    $flag: 1;
    $sign: $val/abs($val);
    $val: sqrt(1 - pow($val, 2));
  }
  
  $term: $c*pow($val, $j)/$j;
  
  @while abs($term) > $e {
    $sum: $sum + $term;
    
    $i: $i + 1;
    $c: $c*(2*$i - 1)/(2*$i);
    $j: 2*$i + 1;
    
    $term: $c*pow($val, $j)/$j;
  }
  
  $result: $sign*($flag*pi()/2 + pow(-1, $flag)*$sum);
  
  @return $result/pi()*180deg;
}

@function atan($val, $e: pi()/7200) {
  /*
   * $val: the value for which we compute the arc tangent
   * $e: tolerated error; lower = better precision
   * 
   * the function returns the arc tangent of $val
   * 
   * Examples: 
   * atan(1) returns ~45deg (using default tolerated error)
   * atan(0, pi()/180) returns 0deg
   */
  
  $val: $val/sqrt(1 + pow($val, 2));
  
  @return asin($val, $e);
}
html, body { height: 100%; }

body {
  overflow: hidden;
  margin: 0;
  perspective-origin: 50% 0;
  perspective: 32em;
  background: black;
}

.surface, .surface *, .surface :before, .surface :after {
  position: absolute;
  top: 50%; right: 50%;
  transform-style: preserve-3d;
}

.row {
  @for $i from 0 to $nx {
    &:nth-child(#{$i + 1}) {
      $x: $minx + $i/$dpux;
      transform: translateZ($x*$u);
      @for $j from 0 to $ny {
        .point:nth-child(#{$j + 1}) {
          $y: $miny + $j/$dpuy;
          $z: $p*$x*pow(e(), -1*(pow($x, 2) + pow($y, 2)));
          transform: translate($y*$u, $z*$u);
          &:before, &:after {
            background: hsl($z*360/$p, 100%, 50%);
          }
          &:before {
            @if $i > 0 {
              $x0: $minx + ($i - 1)/$dpux;
              $z0: $p*$x0*pow(e(), -1*(pow($x0, 2) + pow($y, 2)));
              $alpha: atan($dpux*($z - $z0));
              transform: rotateY(-90deg) 
                         skewY($alpha) rotateX(90deg);
              background: linear-gradient(90deg, 
                  hsl($z0*360/$p, 100%, 50%), 
                  hsl($z*360/$p, 100%, 50%));
            }
            @else { display: none; }
          }
          &:after {
            @if $j >0 {
              $y0: $miny + ($j - 1)/$dpuy;
              $z0: $p*$x*pow(e(), -1*(pow($x, 2) + pow($y0, 2)));
              $alpha: atan($dpuy*($z - $z0));
              transform: skewY($alpha) rotateX(90deg);
              background: linear-gradient(90deg, 
                  hsl($z0*360/$p, 100%, 50%), 
                  hsl($z*360/$p, 100%, 50%));
            }
            @else {
              display: none;
            }
          }
        }
      }
    }
  }
}

.point {
  &:before, &:after {
    margin: -$d/2 0;
    height: $d;
    transform-origin: 100% 50%;
    opacity: $of;
    content: '';
  }
  &:before { width: $u/$dpux; }
  &:after { width: $u/$dpuy; }
}

@keyframes rot { to { transform: rotateY(360deg); } }

@keyframes compress { to { transform: scaleY(-1); } }

/* "play animation" button styles */
input[type=checkbox] { display: none }
.btn {
  overflow: hidden;
  position: absolute;
  z-index: 10;
  top: 1em; left: 50%;
  border-radius: .5em;
  box-shadow: 0 1px 0 black, 0 -1px 0 #96d1f8;
  margin: 0 -3.25em;
  opacity: .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: .7s;
  &:hover { opacity: 1; }
}
.btn, .btn span { width: 6.5em; height: 2.6em; }
.btn span {
  position: absolute;
  text-align: center;
  transition: .5s;
}
.unchecked { top: 0; }
.checked { top: 100%; }
input[type=checkbox]:checked ~ .btn .unchecked { top: -100%; }
input[type=checkbox]:checked ~ .btn .checked { top: 0; }


/* in case anyone is wondering why I haven't used 
 * `animation-play-state`: Chrome Canary on Win 7 fucks up */
input[type=checkbox]:checked ~ .surface {
  animation: rot $t linear infinite;
}
input[type=checkbox]:checked ~ .surface .compressor {
  animation: compress $t*random(100)/100 ease-in-out 
             infinite alternate;
}
            
          
!
999px
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