Left-handed (anti-clockwise) <a href="https://en.wikipedia.org/wiki/Snub_dodecahedron" class="extiw" title="en:Snub dodecahedron">snub dodecahedron</a>. The yellow triangles define the "handedness" of the object. In this case, if we start with the <a href="https://en.wikipedia.org/wiki/rhombicosidodecahedron" class="extiw" title="en:rhombicosidodecahedron">rhombicosidodecahedron</a> shown <a href="//commons.wikimedia.org/wiki/File:Small_rhombicosidodecahedron.png" title="File:Small rhombicosidodecahedron.png">here</a> and rotate the pentagons anti-clockwise allowing the yellow squares to deform into two equilateral triangles, we end up with the shape shown above.
Tomruen
Attribution
<a class="external free" href="https://en.wikipedia.org/wiki/Image:Snub_dodecahedron_ccw.png">http://en.wikipedia.org/wiki/Image:Snub_dodecahedron_ccw.png</a>