Icositetrahexadiminished pentacontahexapentacosiheptacontahexaexon

The icositetrahexadiminished pentacontahexapentacosiheptacontahexaexon, or ihdlaq, is a convex scaliform polyexon. It has 6 demihexeracts, 8 tridiminished icosiheptaheptacontadipeta, 24 octadiminished demihexeracts, and 48 heptadiminished icosiheptaheptacontadipeta as facets.

Vertex Coordinates
The unit icositetrahexadiminished pentacontahexapentacosiheptacontahexaexon's vertices are given by all permutations of the first four coordinates of:


 * $$\biggl(\pm\frac{\sqrt{2}}{2},0,0,0,\pm\frac{1}{2},\pm\frac{1}{2},0\biggr)$$

As well as all even sign changes of the first four of:


 * $$\biggl(\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},\pm\frac{1}{2},0,\pm\frac{1}{2}\biggr)$$

And all odd sign changes of the first four of:


 * $$\biggl(\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},0,\pm\frac{1}{2},\pm\frac{1}{2}\biggr)$$.