This tiling, sent to me by Robert Fathauer, has a central star constructed from eight 8-rhombs. As is often the case, the tiling is constructed mainly from a convex polygon with some "bites" taken out of it. When the bites are restored, the convex polygon turns out to be the 24-gon itself!

Like many of the Fathauer tilings, the Starburst tiling is constructed from a nutshell. In this case, the nutshell contains four 24-gons alternating with four octagons:

If we replace the 24-gons in the Starburst tiling with the 24-gon decomposition and the octagon is also decomposed into rhombs, we can derive a beautiful plane tiling that consists entirely of rhombs and triangles. I've included an image of this tiling as well below.

### Tiling

### Translational Unit

### Legend

### Skeleton tiling

### Tiling (Black and white)

### Translational Unit (Black and white)

### Derived rhomb and triangle tiling

In order to construct this tiling we also need the 24-rhomb (coloured brown gold).