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 and sign changes 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 and all sign changes of the last three 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 and all sign changes of the last three of:


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