Trixylodiminished hydrochoron (EntityTopic, 10)

From Hi.gher. Space

The trixylodiminished hydrochoron, abbreviated TrXD, is a polychoron obtained by removing the vertices of three of the five inscribed xylochora from a hydrochoron. Removing the vertices of only one yields the snub demitesseract, and removing the vertices of two yields the bixylodiminished hydrochoron (BXD), a CRF polychoron. Surprisingly, it is precisely the dual of the BXD, and is the only known case where removing a fraction of the vertices of a polytope forms its dual. Being the dual of the BXD, it exists in two chiral forms, and is both cell- and vertex-transitive; its 72 cells are triangulated triangular prisms.

Projections

One cell highlighted:

Two cells highlighted, sharing a single vertex:

Incidence matrix

Software models

• Polyview .def file
• Stella4D .off file