<div class="wrapper">
    <div class="menu">
        <ul class="toggle">
            <li class="ico01"></li>
            <li class="move-ico ico02"></li>
            <li class="move-ico ico03"></li>
            <li class="move-ico ico04"></li>
        </ul>
        <!-- filters -->
        <svg xmlns="http://www.w3.org/2000/svg" version="1.1" width="0" height="0">
            <defs>
            <filter id="goo">
                <feGaussianBlur in="SourceGraphic" result="blur" stdDeviation="12" />
                <feColorMatrix in="blur" mode="matrix" values="1 0 0 0 0  0 1 0 0 0  0 0 1 0 0  0 0 0 18 -7" result="joint" />
            </filter>
            </defs>
        </svg>
    </div>
    <div class="menu-object">
        <ul class="toggle">
            <li class="ico01"></li>
            <li class="move-ico ico02">
                <a href="https://codepen.io/hisamikurita" target="_blank" class="link link01">
                    <i class="fab fa-codepen"></i>
                </a>
            </li>
            <li class="move-ico ico03">
                <a href="https://github.com/hisamikurita" target="_blank" class="link link02">
                    <i class="fab fa-github"></i>
                </a>
            </li>
            <li class="move-ico ico04">
                <a href="" target="_blank" class="link link03">
                    <i class="fab fa-wikipedia-w"></i>
                </a>
            </li>
        </ul>
    </div>
</div>
/* basic style */
html,
body {
  position: relative;
  width: 100%;
  height: 100%;
  margin: 0;
  overflow: hidden;
}
body {
  display: flex;
  justify-content: center;
  align-items: center;
  background-color: #1c2026;
}

/* menu style */
.menu {
  width: calc(54px * 4 + 30px * 3);
  height: 54px;
  margin: 0 auto;
  -webkit-filter: url("#goo");
  filter: url("#goo");
}
ul {
  position: relative;
  margin: 0;
  padding: 0;
  list-style: none;
}
li {
  width: 54px;
  height: 54px;
  border-radius: 50%;
  cursor: pointer;
}
svg {
  overflow: hidden;
}
.ico01 {
  background-color: #d92567;
  position: relative;
  z-index: 4;
}
.ico02 {
  background-color: #d91e85;
  transition: transform 1.2s cubic-bezier(0.77, 0, 0.175, 1);
  z-index: 3;
}
.ico03 {
  background-color: #f24405;
  transition: transform 1.2s cubic-bezier(0.77, 0, 0.175, 1) 0.4s;
  z-index: 2;
}
.ico04 {
  background-color: #f23030;
  transition: transform 1.2s cubic-bezier(0.77, 0, 0.175, 1) 0.8s;
  z-index: 1;
}
.move-ico {
  position: absolute;
  top: 0;
}
.active {
  & .ico02 {
    transform: translateX(calc(54px + 30px));
    transition: transform 1.2s cubic-bezier(0.77, 0, 0.175, 1) 0.8s;
  }
  & .ico03 {
    transform: translateX(calc(54px * 2 + 30px * 2));
    transition: transform 1.2s cubic-bezier(0.77, 0, 0.175, 1) 0.4s;
  }
  & .ico04 {
    transform: translateX(calc(54px * 3 + 30px * 3));
    transition: transform 1.2s cubic-bezier(0.77, 0, 0.175, 1);
  }
}

/* menu-object style */
.menu-object {
  position: absolute;
  top: 0;
  right: 0;
  bottom: 0;
  left: 0;
  margin: auto;
  width: calc(54px * 4 + 30px * 3);
  height: 54px;
  & .ico01::before {
    content: "";
    position: absolute;
    top: 0;
    right: 0;
    bottom: 0;
    left: 0;
    width: 4px;
    height: 24px;
    margin: auto;
    background-color: #fff;
    transition: transform .8s cubic-bezier(0.77, 0, 0.175, 1);
  }
  & .ico01::after {
    content: "";
    position: absolute;
    top: 0;
    right: 0;
    bottom: 0;
    left: 0;
    width: 24px;
    height: 4px;
    margin: auto;
    background-color: #fff;
    transition: transform .8s cubic-bezier(0.77, 0, 0.175, 1);
  }
  & .link{
    display: block;
    width: 100%;
    height: 100%;
    color: #fff;
    line-height: 1;
    & i{
      position: absolute;
      top: 50%;
      left: 50%;
      transform: translate3d(-50%, -50%, 0);
    }
  }
  & .link01{
    font-size: 26px;
  }
  & .link02{
    font-size: 30px;
  }
  & .link03{
    font-size: 24px;
    font-weight: bold;
  }
}
.active {
  & .menu-object {
    & .ico01 {
      &::before {
        transform: rotate(45deg);
      }
      &::after {
        transform: rotate(45deg);
      }
    }
  }
}
View Compiled
function toggle(){
    $('.ico01').click(function(){
        $('.wrapper').toggleClass('active');
    })
}

toggle();
Run Pen

External CSS

  1. https://use.fontawesome.com/releases/v5.6.1/css/all.css

External JavaScript

  1. https://code.jquery.com/jquery-3.2.1.min.js