<!--

Honestly I'm not a fan of material design, but this was fun (this is being featured on material.uplabs.com and I'm not removing my statement).

Originally used SVGs for the curved edges but with the material ripple - it just didn't work well so I used 400px × 400px circles and make them square when pushing them off the screen (#back).

~~I saw something similar to this earlier and can't track it down - it isn't exactly the same but the static look is inspired.~~
I found the post I saw: https://material.uplabs.com/posts/google-docs-redesign-concept

-->

<div class="header --flex-row">
   <div id="back" class="back --flex-column-j!c-ai!c do-ripple" ripple-size="200">
      <div class="arrow"></div>
      <!--<svg class="bulge" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px" viewBox="0 0 16 181.5" enable-background="new 0 0 16 181.5" xml:space="preserve">
         <path d="M0,0v181.5C13.25,147,16,116,16,90.75S13.25,34.5,0,0z"/>2
      </svg>--> 
   </div>
   <div class="place" ripple-size="200">
      <div class="icons">
         <div class="home"><i class="fa fa-home" aria-hidden="true"></i></div>
         <div class="now"><i class="fa fa-pencil" aria-hidden="true"></i></div>
         <div class="next"><i class="fa fa-question" aria-hidden="true"></i></div>
      </div>
      <!--<svg class="bulge" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px" viewBox="0 0 16 181.5" enable-background="new 0 0 16 181.5" xml:space="preserve">
         <path d="M0,0v181.5C13.25,147,16,116,16,90.75S13.25,34.5,0,0z"/>
      </svg>-->
   </div>
</div>
<div class="nav do-ripple" ripple-size="80">
   <div class="item do-ripple" ripple-size="64" tab-id="write"><i class="fa fa-pencil" aria-hidden="true"></i></div>
   <div class="item do-ripple" ripple-size="64" tab-id="history"><i class="fa fa-book" aria-hidden="true"></i></div>
   <div class="item do-ripple" ripple-size="64" tab-id="loved"><i class="fa fa-heart" aria-hidden="true"></i></div>
   <div class="item do-ripple" ripple-size="64" tab-id="settings"><i class="fa fa-cog" aria-hidden="true"></i></div>
</div>
<div class="capture hide"></div>

<!--
I even tried a mask and messed up - if someone can show me how to do it I will be very grateful.
-->
<!--<svg class="svg-defs">
   <defs>
      <clipPath id="bulge_back" x="0px" y="0px" width="66" height="100" viewBox="0 0 66 100">
         <path d="M50,0H0v100h50c7.3-19.008,8.815-36.088,8.815-50S57.301,19.008,50,0z"/>
      </clipPath>
      <clipPath id="bulge_location" x="0px" y="0px" width="66" height="100" viewBox="0 0 66 100">
         <path d="M100,0H0v100h100c7.3-19.008,8.815-36.088,8.815-50S107.3,19.008,100,0z"/>
      </clipPath>
   </defs>
</svg>-->
/*

The noted out stuff is for the SVGs that I'm no longer using but still want the 10 minutes I put into them to be appreciated.

*/

body {
   background-color: #ECEFF1;
   .do-ripple {
      overflow: hidden;
      .ripple {
         position: absolute;
         animation: ripple 0.3s linear;
         background-color: #ccc;
         border-radius: 100%;
         opacity: 0;
         pointer-events: none;
         z-index: 1;
      }
      >*:not(.ripple) {
         z-index: 2;
      }
   }
   .header {
      overflow: hidden;
      position: fixed;
      top: 0px;
      left: 0px;
      right: 0px;
      height: 100px;
      background-color: #ffffff;
      box-shadow: 0 -6px 8px 4px rgba(0, 0, 0, 0.3);
      /*>* {
         position: relative;
         .bulge {
            position: absolute;
            top: 0px;
            bottom: 0px;
            left: 100%;
            height: 100px;
            width: 8.8px;
         }
      }*/
      .back {
         background-color: #144ACC;
         z-index: 3;
         //mask: url(#bulge_back);
         cursor: pointer;
         transition: 0.5s;
         width: 50px;
         height: 400px;
         padding-left: 350px;
         margin-right: -365px;
         border-radius: 100%;
         transform: translate(-87.5%, -50%) translateY(50px);
      box-shadow: 1px 2px 8px -1px rgba(0, 0, 0, 0.1);
         /*svg {
            display:none;
            left:50px;
            transition:10.3s;
            path {
               fill:#144ACC;
            }
         }*/
         .arrow {
            position: relative;
            width: 17px;
            height: 2px;
            margin-left: 3px;
            background-color: #ffffff;
            pointer-events: none;
            &:before,
            &:after {
               content: '';
               position: absolute;
               top: 50%;
               left: 50%;
               transform: translate(-50%, -50%) rotate(45deg) translate(-2px, 7px);
               width: 12px;
               height: 2px;
               background-color: #ffffff;
            }
            &:after {
               transform: translate(-50%, -50%) rotate(-45deg) translate(-2px, -7px);
            }
         }
         &.hide {
            margin-left: -50px;
            border-radius: 0%;
            /*svg {
               width:0px;
               left:0px;
               height:100px;
            }
            .arrow {
               opacity:0;
               transition-delay:0s 0.5s;
            }*/
         }
         /*&:hover {
            background-color:#1348C4;
            svg {
               path {
                  fill:#1348C4;
               }
            }
         }
         &:active {
            background-color:#1243B7;
            svg {
               path {
                  fill:#1243B7;
               }
            }
         }*/
      }
      .place {
         background-color: #2F73E9;
         width: 100px;
         height: 400px;
         padding-left: 250px;
         margin-right: -365px;
         border-radius: 100%;
         transform: translate(-65%, -50%) translateY(50px);
         z-index: 2;
         .icons {
            position: absolute;
            top: 50%;
            left: calc(75% + 31px);
            transform: translate(-50%, -50%);
            color: #fff;
            font-size: 32px;
            line-height: 66px;
            transition: top 0.5s ease;
            &.home {
               top: calc(50% + 66px);
            }
            &.next {
               top: calc(50% - 66px);
            }
            &.noanimation {
               transition: top 0s ease;
            }
         }
         /*svg {
            path {
               fill:#2F73E9;
            }
         }*/
      }
   }
   .capture {
      position: fixed;
      top: 0px;
      left: 0px;
      right: 0px;
      bottom: 0px;
      background-color: rgba(0, 0, 0, 0.3);
      z-index: 0;
      opacity: 1;
      pointer-events: auto;
      transition: opacity 0.25s ease;
      &.hide {
         opacity: 0;
         pointer-events: none;
      }
   }
   .nav {
      position: fixed;
      height: 40px;
      width: 40px;
      top: 30px;
      left: 135px;
      background-color: #4395FA;
      border-radius: 20px;
      transition: 0.5s;
      cursor: pointer;
      z-index: 1;
      box-shadow: 1px 2px 8px -1px rgba(0, 0, 0, 0.1);
      &.home {
         left: 85px;
      }
      .item {
         transition: 0.5s;
         width: 6px;
         height: 6px;
         background-color: #fff;
         position: absolute;
         border-radius: 20px;
         transform: translate(-50%, -50%);
         .ripple {
            display: none;
            background-color: #ECEFF1;
         }
         &:nth-child(1) {
            top: 35%;
            left: 35%;
         }
         &:nth-child(2) {
            top: 65%;
            left: 35%;
         }
         &:nth-child(3) {
            top: 35%;
            left: 65%;
         }
         &:nth-child(4) {
            top: 65%;
            left: 65%;
         }
         i {
            transition: 0.5s;
            position: absolute;
            top: 50%;
            left: 50%;
            transform: translate(-50%, -50%);
            color: #144ACC;
            opacity: 0;
         }
      }
      &.open {
         width: 156px;
         .item {
            top: 50%;
            width: 32px;
            height: 32px;
            &:nth-child(1) {
               left: 14%;
            }
            &:nth-child(2) {
               left: 38%;
            }
            &:nth-child(3) {
               left: 62%;
            }
            &:nth-child(4) {
               left: 86%;
            }
            &:active {
               transform: translate(-50%, -50%) scale(0.9);
            }
            i {
               opacity: 1;
            }
            .ripple {
               display: block;
            }
         }
      }
   }
}

@keyframes ripple {
   0%,
   100% {
      display: block;
   }
   0% {
      opacity: 0.3;
      width: 0px;
      height: 0px;
      transform: translate(-50%, -50%) scale(0);
   }
   100% {
      opacity: 0;
      transform: translate(-50%, -50%) scale(1);
   }
}
View Compiled
//console.clear();

var pages = { // ¯\_(ツ)_/¯ slightly more useful than pointless
   current: "write",
   index: {
      write: {
         id: "write",
         name: "Write",
         icon: "fa-pencil"
      },
      history: {
         id: "history",
         name: "History",
         icon: "fa-book"
      },
      loved: {
         id: "loved",
         name: "Loved",
         icon: "fa-heart"
      },
      settings: {
         id: "settings",
         name: "Settings",
         icon: "fa-cog"
      }
   }
};

$(document).ready(function() {
   console.log(Object.keys(pages.index));
   for(var i = 0; i < 4; i++) {
      console.log(Object.keys(pages.index)[i]);
      $(`.nav .item:nth-child(${i + 1})`).find("i").attr("class", `fa ${pages.index[Object.keys(pages.index)[i]].icon}`)
   }
   $(document).on("click", ".do-ripple", function(e) { // I don't like material design but I like this effect
      var x = e.pageX - $(this).offset().left;
      var y = e.pageY - $(this).offset().top;
      var s = $(this).attr("ripple-size");
      //var s = Math.max($(this).width(), $(this).height())*2; //<- if you want to take this effect (feel free), replace the above line with this. ripple-size is something I used because the elements are huge.
      $(this).append(`<div class="ripple" style="width:${s}px; height:${s}px; top:${y}px; left:${x}px"></div>`); //Shout out to Chris Coyier for showing me inline variables with Babel
   });
   $(document).on("click", "#back", function(e) {
      $(this).addClass("hide");
      $(".icons").addClass("home");
      $(".nav").addClass("home");
      pages["current"] = "home";
   });
   $(document).on("click", ".capture", function(e) {
      $(".nav").removeClass("open");
      $(".capture").addClass("hide");
   });
   $(document).on("click", ".nav:not(.open)", function(e) {
      $(this).addClass("open");
      $(".capture").removeClass("hide");
   });
   $(document).on("click", ".nav.open .item", function(e) {
      var id = $(this).attr("tab-id");
      if (pages["current"] == "home") {
         $(".place .icons .now i").removeClass().addClass("fa").addClass(pages["index"][id]["icon"]);
      } else {
         $(".place .icons .next i").removeClass().addClass("fa").addClass(pages["index"][id]["icon"]);
         $(".place .icons").addClass("next");
         setTimeout(function() {
            $(".place .icons").addClass("noanimation");
            $(".place .icons .now i").removeClass().addClass("fa").addClass(pages["index"][id]["icon"]);
            $(".place .icons").removeClass("next");
            setTimeout(function() {
               $(".place .icons").removeClass("noanimation");
            }, 10);
         }, 500);
      }
      pages["current"] = id;
      $("#back").removeClass("hide");
      $(".icons").removeClass("home");
      $(".nav").removeClass("home").removeClass("open");
      $(".capture").addClass("hide");
   });
});
View Compiled
Run Pen

External CSS

  1. https://s3-us-west-2.amazonaws.com/s.cdpn.io/199011/1.1.0.css
  2. https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css

External JavaScript

  1. https://codepen.io/z-/pen/a8e37caf2a04602ea5815e5acedab458
  2. https://cdnjs.cloudflare.com/ajax/libs/jquery/3.1.0/jquery.min.js
  3. https://codepen.io/z-/pen/2677821722cd9e02c2c882a17c5b2072