Octagonal Chiral Tetrahedral Wrap

Take a pentagonal icositetrahedron and remove the four degree four vertices by unifying the opposing edges running through the nodes. This will give you the net of this tilegraph. A genus 3 structure consisting of 12 octagonal tiles that combine to a graph with 24 automorpisms and 2 orbits. It is based on the same tile as the bolza surface and the Fricke-Klein map.