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HTML 

              
                <h1>Roll the die!</h1>

<div class="click-area">
  <label class="throw throw-1" for="roll-1"> </label>
  <label class="throw throw-2" for="roll-2"></label>
  <label class="throw throw-3" for="roll-3"></label>
  <label class="throw throw-4" for="roll-4"></label>
  <label class="throw throw-5" for="roll-5"></label>
  <label class="throw throw-6" for="roll-6"></label>
</div>
<input type="radio" id="roll-1" name="roll">
<input type="radio" id="roll-2" name="roll">
<input type="radio" id="roll-3" name="roll">
<input type="radio" id="roll-4" name="roll">
<input type="radio" id="roll-5" name="roll">
<input type="radio" id="roll-6" name="roll">

<div class="wrapper">
<div class="dice">
  <div class="face face-1"></div>
  <div class="face face-2"></div>
  <div class="face face-3"></div>
  <div class="face face-4"></div>
  <div class="face face-5"></div>
  <div class="face face-6"></div> 
</div>
</div>

<div class="roll-result rr1">You got 1.</div>
<div class="roll-result rr2">You got 2.</div>
<div class="roll-result rr3">You got 3.</div>
<div class="roll-result rr4">You got 4.</div>
<div class="roll-result rr5">You got 5.</div>
<div class="roll-result rr6">You got 6!</div>
!

CSS 

              
                body{
  font:1em sans-serif;
}

h1 {
  text-align: center;
}

.click-area {
  width: 200px;
  height: 200px;
  overflow: hidden;
  position: absolute;
  left: 50%;
  margin-left: -100px;
  box-shadow: 0 0 40px -30px inset;
  border-radius:15%;
  
  &:hover {
      box-shadow: 0 0 40px -20px #0a8 inset;
  }
  
}

.throw {
  display: block;
  position: absolute;
  left: 0;
  right: 0;
  top: 0;
  bottom: 0;
  cursor:pointer;
  z-index: 1;
}


$colors: [#955, #844, #633, #522, #411, #300];
$t:.123s;

@for $i from 1 through 6 {
  .throw-#{$i} {
    animation:cycle-dice $t steps(6, end) infinite;
    animation-delay: - ($t / 6) * $i;
    //background:nth([blue, red, green, yellow, pink, cyan], $i);
    opacity:1;
    
    &:active {
      position: static;
      margin-left: 200%;
      
      &:before {
        content:'';
        position: absolute;
        left: 0;right: 0;top: 0;bottom: 0;
        z-index: 18!important;
        //background:red;
      }
    }
  }
}

.click-area > .clear {
  display: none;
  text-align: center;
  line-height: 100px;
  color:white;
  text-shadow: 1px 1px black;
}
#roll-0:not(:checked) ~ .click-area > .clear{
  z-index:20;
  display: block;
}

[name=roll] {
  display: none;
}


@keyframes cycle-dice {
  0% {
    z-index: 10;
  }
  100% {
    z-index: 16;
  }
}

.wrapper {
  width: 200px;height:200px;
  margin:0 auto;
  perspective:400px;
  margin:1em auto;
  position: relative;
  pointer-events:none;
  
  transform-style:preserve-3d;
}

$rollDuration:5s;
.dice {
  position: absolute;
  top: 50%;
  left: 50%;
  margin-top:-50px;
  margin-left:-50px;
  height:100px;
  width:100px;
  transition:transform $rollDuration ease-out; 
  
  //animation:rollDice 20s linear infinite;
  transform-style:preserve-3d; 
  transform-origin:center center -50px ;
  pointer-events:none;
}


$dot-c:rgba(255,245,100,.75);

.face {
  position: absolute;
  width: 100px;
  height: 100px;
  background:#911;
  box-shadow: 0 0 8px -4px #999 inset;
  //backface-visibility:hidden;
  
  &:after {
    content:'';
    position: absolute;
    width:20px;
    height:20px;
    border-radius:50%;
    background:$dot-c;
    left: 25%;
    top: 25%;
    transform:translate(-50%, -50%);
  }
}

@for $i from 1 through 6 {
  .face-#{$i} {
    background:nth($colors, $i);
  }
}

.face-1:after  {
  left: 50%;
  top: 50%;
}
.face-2:after {
  box-shadow: 50px 50px $dot-c;
}
.face-3:after {
  box-shadow: 50px 50px $dot-c, 25px 25px $dot-c;
}
.face-4:after {
  box-shadow: 0 50px $dot-c, 50px 0 $dot-c, 50px 50px $dot-c;
}
.face-5:after {
  box-shadow: 0 50px $dot-c, 50px 0 $dot-c, 50px 50px $dot-c, 25px 25px $dot-c;
}
.face-6:after {
  box-shadow: 0 50px $dot-c, 50px 0 $dot-c, 50px 50px $dot-c, 0 25px $dot-c, 50px 25px $dot-c;
}


.face-1 {
  transform:rotateY(180deg);
}
.face-2 {
  transform-origin:left center;
  transform:rotateY(-90deg);
}
.face-3 {
  transform-origin:top center;
  transform:rotateX(90deg);
}
.face-4 {
  transform-origin:bottom center;
  transform:rotateX(-90deg);
}
.face-5 {
  transform-origin:right center;
  transform:rotateY(90deg);
}
.face-6 {
  transform:translateZ(100px);
}


.wrapper > .dice {
  transform:rotateX(8.5turn) rotateY(6turn) rotateZ(0) translateZ(-100px);  
}
#roll-1:checked ~ .wrapper > .dice {
 transform:rotateX(1turn) rotateY(-3.5turn) rotateZ(0) translateZ(-100px);
}
#roll-2:checked ~ .wrapper > .dice {
  transform:rotateX(2turn) rotateY(5.25turn) rotateZ(0) translateZ(-100px);
}
#roll-3:checked ~ .wrapper > .dice {
  transform:rotateX(3.75turn) rotateY(3turn)  rotateZ(0) translateZ(-100px) !important;
}
#roll-4:checked ~ .wrapper > .dice {
  transform:rotateX(5.25turn) rotateY(-1turn)  rotateZ(0) translateZ(-100px)!important;
}
#roll-5:checked ~ .wrapper > .dice {
  transform:rotateX(7turn) rotateY(7.75turn) rotateZ(0) translateZ(-100px)!important;
}
#roll-6:checked ~ .wrapper > .dice {
  transform:rotateX(6turn) rotateY(2turn) rotateZ(0) translateZ(-100px)!important;
}



.roll-result {
  position: absolute;
  left: 0;right: 0;text-align: center;
  opacity:0;
  pointer-events:none;
  font-weight: bold;
}

@for $i from 1 through 6 {
  #roll-#{$i}:checked ~ .rr#{$i} {
    transition:opacity 0s linear $rollDuration;
    opacity:1;
  }  
}
!

JS 

              
                // no JS here
// here you can read how it was done: https://css-tricks.com/are-there-random-numbers-in-css/
!
999px

Console