These two were found by Norman Johnson several decades ago, they are antiprism like figures with bases based off of two polychora from category 18. These have "hipe" symmetry (120-cell prism symmetry) and they each have 1200 vertices and are lone members in their regiments. Both are tame and orientable. Above are the verfs as a series of cross sections.
1289. Sidtaxhiap - (sid TAK she yap) small ditetrahedrary 600-120choron antiprism. Its symbol is ooo^s s. It has 2 sidtaxhis, 120 sidtidaps, and 1200 pens.
1290. Gadtaxhiap - (gad TAK she yap) grand ditetrahedrary 600-120choron antiprism. Its symbol is ooo*'s s. It has 2 gadtaxhis, 120 gidtidaps, and 1200 pens.
The hosiap regiment is formed by blending 6 demipenteracts together. The members either have icope (ico prism) symmetry or chiro-icope symmetry. The verf of hosiap is a blend of two raps. These have 48 vertices. There are three uniform members, 5 scaliforms, and 6 uniform chiral compounds (contains 3 of the same hin member). The compounds aren't true regiment members sense they lack some of the edges. Above are the verfs as a series of cross sections.
1291. Hosiap - (HOSS e yap) hollostellicosatetrachoron antiprism. It has 48 hexes and 96 pens which form 48 2-pen combos. It also has 2 pseudofacets shaped like the compound of 3 hexes (AKA "sico = stellated ico, which is the dual of gico from the ico regiment).
1292. Ihsiap - (ISS e yap) invertihollostellicosatetrachoron antiprism. It has 48 hexes, 48 pens, and 48 raps - it is the blend of 3 hins and 3 hans.
1293. Hesirap - (HE sir ap) hollostellicosatetrachoron retroantiprism. It has 48 hexes, 48 pens, and 48 firps - it is the blend of 3 hins and 3 rinahs.
The following are self conjugates: hosiap, ihsiap, and hesirap.
The following are conjugate pairs: sidtaxhiap-gadtaxhiap.Category 18 --- back to Polyteron Page --- Category 20