Hexagon mit Schatten

<div class="hexagon"><span></span></div>

.hexagon {
  width: 100px;
  height: 55px;
  position: relative;
}

.hexagon, 
.hexagon:before, 
.hexagon:after {
  background: red;
  box-shadow: 0 0 10px rgba(0,0,0,0.8);   
}

.hexagon:before,
.hexagon:after {
  content: "";
  position: absolute;
  left: 22px;
  width: 57px;
  height: 57px;
  transform: rotate(145deg) skew(22.5deg);
}

.hexagon:before {
  top: -29px;
}

.hexagon:after {
  top: 27px;
}

.hexagon span {
  position: absolute;
  top: 0;
  left: 0;
  width: 100px;
  height: 55px;
  background: red;
  z-index: 1;
}

Siehe den Pen CSS Hexagon von Geoff Graham (@geoffgraham) auf CodePen.