Create Triangle Menu

I am trying to create a menu that contains right triangles formed together to form a square. This is what I envision:

This is what I hope to achieve:

Can be dynamically generated through javascript.
Scales to parent
Clip an image as background for each triangle (cannot be CSS)
Link to a site for each triangle
Update background and text color when hovering
Support multiple browsers

I have tried several different approaches, but encountered several issues with each one:

CSS Hack:
- Cannot set text to correct location
- Cannot set borders individually
SVG
- Cannot update coloring when hovering. Closest I got was here: https://jsfiddle.net/71xp6r0s

    <div class="menu-box">
    <svg id="menu" style="border: black solid 1px" width="100" height="100" viewbox="0, 0, 100, 100">
      <polygon class = "top" points='0,0 0,100 100,0'  fill="none" stroke="red"/>
      <text x="-18" y="68" fill="black" transform="rotate(-45)">Item</text>
      <polygon  points='100,0 100,100 0,100'  fill="none" stroke="red" />
        <text x="-18" y="84" fill="black" transform="rotate(-45)">Item</text>
    </svg>
    </div>

Canvas
- Difficult dynamically adjust to parent
Clip path:
- Not supported by most browsers.

I understand this is quite ambitious, but any help would be appreciated. I am also open to other ideas, but these were the ones I found online.

Edit: Switch to a better image

Solution

Here is a idea using skew transformation:

* {
  box-sizing: border-box;
}

.menu {
  width: 150px;
  border: 1px solid;
  overflow: hidden;
  display: flex;
  justify-content: center;
}

/*maitain ratio*/
.menu:before {
  content: "";
  padding-top: 100%;
}

.menu a {
  position:relative;
  width: 100%;
  flex-shrink: 0;
  border: 3px solid red;
  transform: skew(-45deg);
  overflow:hidden;
  color:#fff;
  font-weight:bold;
  font-size:18px;
}

.menu a:first-child span {
  position: absolute;
  bottom:0;
  left: 50%;
  width: 141%;
  display: block;
  text-align: center;
  transform-origin: 86% 100%;
  transform: translate(-50%) skew(45deg) rotate(-45deg) translateX(86%);
}

.menu a:last-child span {
  position: absolute;
  top:0;
  left: 50%;
  width: 141%;
  display: block;
  text-align: center;
  transform-origin: 14% 0%;
  transform: translateX(-50%) skew(45deg) rotate(-45deg) translateX(-86%);
}

.menu a:before {
  content:"";
  position:absolute;
  top:0;
  left:-50%;
  right:-50%;
  bottom:0;
  background:url(https://picsum.photos/id/1069/500/500) center/cover;
  transform: skew(45deg);
}
.menu a:last-child:before {
  background:url(https://picsum.photos/id/1059/500/500) center/cover;
}

/*Hover */
.menu a:hover {
  color:green;
  border-color:yellow;
}
.menu a:hover:before {
  filter:grayscale(100%);
}

<div class="menu">
  <a href="#"><span>Link 1</span></a>
  <a href="#"><span>Link 2</span></a>
</div>

<div class="menu" style="width:200px">
  <a href="#"><span>Link 1</span></a>
  <a href="#"><span>Link 2</span></a>
</div>

<div class="menu" style="width:250px">
  <a href="#"><span>Link 1</span></a>
  <a href="#"><span>Link 2</span></a>
</div>

You can also specify the image directly in the HTML code

* {
  box-sizing: border-box;
}

.menu {
  width: 150px;
  border: 1px solid;
  overflow: hidden;
  display: flex;
  justify-content: center;
}

/*maitain ratio*/
.menu:before {
  content: "";
  padding-top: 100%;
}

.menu a {
  position:relative;
  width: 100%;
  flex-shrink: 0;
  border: 3px solid red;
  transform: skew(-45deg);
  overflow:hidden;
  color:#fff;
  font-weight:bold;
  font-size:18px;
  background-size:0 0;
}


.menu a:first-child span {
  position: absolute;
  bottom:0;
  left: 50%;
  width: 141%;
  display: block;
  text-align: center;
  transform-origin: 86% 100%;
  transform: translate(-50%) skew(45deg) rotate(-45deg) translateX(86%);
}

.menu a:last-child span {
  position: absolute;
  top:0;
  left: 50%;
  width: 141%;
  display: block;
  text-align: center;
  transform-origin: 14% 0%;
  transform: translateX(-50%) skew(45deg) rotate(-45deg) translateX(-86%);
}


.menu a:before {
  content:"";
  position:absolute;
  top:0;
  left:-50%;
  right:-50%;
  bottom:0;
  background-image:inherit;
  background-position:center;
  background-size:cover;
  transform: skew(45deg);
}

/*Hover */
.menu a:hover {
  color:green;
  border-color:yellow;
}
.menu a:hover:before {
  filter:grayscale(100%);
}

<div class="menu">
  <a href="#" style="background-image:url(https://picsum.photos/id/1069/500/500)"><span>Link 1</span></a>
  <a href="#" style="background-image:url(https://picsum.photos/id/1049/500/500)"><span>Link 2</span></a>
</div>

<div class="menu" style="width:200px">
  <a href="#" style="background-image:url(https://picsum.photos/id/1063/500/500)"><span>Link 1</span></a>
  <a href="#" style="background-image:url(https://picsum.photos/id/1069/500/500)"><span>Link 2</span></a>
</div>

<div class="menu" style="width:250px">
  <a href="#" style="background-image:url(https://picsum.photos/id/109/500/500)"><span>Link 1</span></a>
  <a href="#" style="background-image:url(https://picsum.photos/id/1069/500/500)"><span>Link 2</span></a>
</div>