Hepteractidiminished pentacontahexapentacosiheptacontahexaexon

The hepteractidiminished pentacontahexapentacosiheptacontahexaexon, or sadlaq, is a convex scaliform polyexon. It has 14 demihexeracts, 56 tridiminished icosiheptaheptacontadipeta and 128 heptapeta as facets. 4 demihexeracts, 12 tridiminished icosiheptaheptacontadipeta, and 8 heptapeta meet each vertex.

One can create this polyexon by removing an inscribed hecatonicosoctaexon's vertices from a pentacontahexapentacosiheptacontahexaexon.

Vertex coordinates
The vertices of a hepteractidiminished pentacontahexapentacosiheptacontahexaexon of edge length 1, centered at the origin, are given by:
 * $$\biggl(\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},0,0,0\biggr),$$
 * $$\biggl(\pm\frac{1}{2},\pm\frac{1}{2},0,0,\pm\frac{1}{2},\pm\frac{1}{2},0\biggr),$$
 * $$\biggl(\pm\frac{1}{2},0,\pm\frac{1}{2},0,\pm\frac{1}{2},0,\pm\frac{1}{2}\biggr),$$
 * $$\biggl(\pm\frac{1}{2},0,0,\pm\frac{1}{2},0,\pm\frac{1}{2},\pm\frac{1}{2}\biggr),$$
 * $$\biggl(0,0,\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},0\biggr),$$
 * $$\biggl(0,\pm\frac{1}{2},0,\pm\frac{1}{2},\pm\frac{1}{2},0,\pm\frac{1}{2}\biggr),$$
 * $$\biggl(0,\pm\frac{1}{2},\pm\frac{1}{2},0,0,\pm\frac{1}{2},\pm\frac{1}{2}\biggr).$$