This image shows the orbit of a fundamental tile under action of the tetrahedral group,  T<sub><i>h</i></sub>, a subgroup of the full icosahedral group I<sub><i>h</i></sub>. Tools used: POV-Ray and the GAP-System.
<a href="//commons.wikimedia.org/wiki/User:PSL27" title="User:PSL27">PSL27</a>
CC BY-SA 4.0
<span class="int-own-work" lang="en">Own work</span>