Bi-icositetradiminished truncated icositetrachoron

The bi-icositetradiminished truncated icositetrachoron or bidtico is an isogonal polychoron with 24 chirodiminished truncated octahedra, 24 triangular prisms, 24 triangular antiprisms, and 144 vertices. 3 chirodiminished truncated octahedra, 1 triangular prism, and 1 triangular antiprism join at each vertex. Together with its dual, it is the first in an infinite family of great rhombitetratetrahedral swirlchora.

It can be constructed by removing the vertices of two icositetrachora of edge length $$\sqrt7$$ from a truncated icositetrachoron.

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Chirodiminished truncated octahedron (24): Icositetrachoron
 * Triangular prism (24): Icositetrachoron
 * Triangular antiprism (24): Icositetrachoron
 * Ditrigon (24): Icositetrachoron
 * Rectangle (72): Swirlprismatodiminished rectified icositetrachoron
 * Isosceles trapezoid (72): Swirlprismatodiminished rectified icositetrachoron
 * Isosceles triangle (144): Bi-icositetradiminished truncated icositetrachoron
 * Edge (72): Swirlprismatodiminished rectified icositetrachoron
 * Edge (144): Bi-icositetradiminished truncated icositetrachoron