This category contains everything whose vertex figure is a trapezoidal pyramid or some faceting of such (excluding the prisms). There are 9 regiments with three members each, the first four regiments are truly prismatorhombates, while the last 5 are merely kin and just have the verf shape to end up here. Prich is convex! Prich, quiprich, gepdica, gapdica, and sacpaca have chonnic symmetry, the last four regiments are octettic.
127. Prich - Prismatorhombated cubic honeycomb. Cells are sircoes, tics, cubes, and ops. Symbol is x4o3x4x. Could also be called runcitruncated cubic honeycomb or runcicantellated cubic honeycomb, if for some reason you wanted to.
128. Sepdica - Small prismatodicubatiapeiratic honeycomb. Cells are soccoes, tics, cubes, and tosquats. Symbol is x4x3o4/3x4*b. Called spedica in ancient times.
129. Sirpaca - Small rhombiprismatocubatiapeiratic honeycomb. Cells are srohs, ops, and tosquats.
130. Quiprich - Quasiprismatorhombated cubic honeycomb. Cells are sircoes, quiths, cubes, and stops. Symbol is x4o3x4/3x. This regiment gets involved in sabdiptica.
131. Mipdica - Medial prismatodicubatiapeiratic honeycomb. Cells are soccoes, quiths, cubes, and qrasquits. Symbol is x4/3x3o4/3x4*b.
132. Mirpaca - Medial rhombiprismatocubatiapeiratic honeycomb. Cells are srohs, stops, and qrasquits.
133. Gepdica - Great prismatodicubatiapeiratic honeycomb. Cells are goccoes, tics, cubes, and qrasquits. Symbol is x4x3o4x4/3*b. This regiment, being the conjugate of quiprich, also gets involved in sabdiptica.
134. Paqrich - Prismatoquasirhombated cubic honeycomb. Cells are quercoes, tics, cubes, and ops. Symbol is x4x3o4/3x.
135. Girpaca - Great rhombiprismatocubatiapeiratic honeycomb. Cells are grohs, ops, and qrasquits.
136. Gapdica - Grand prismatodicubatiapeiratic honeycomb. Cells are goccoes, quiths, cubes, and quitsquats. Symbol is x4/3x3o4x4/3*b.
137. Quipqrich - Quasiprismatoquasirhombated cubic honeycomb. Cells are quercoes, quiths, cubes, and stops. Symbol is x4/3o3x4/3x.
138. Garpaca - Grand rhombiprismatocubatiapeiratic honeycomb. Cells are grohs, stops, and quitsquats.
139. Sacpaca - Small cubatiprismatocubatiapeiratic honeycomb. Cells are sossas, toes, azips, and quitcoes. Symbol is x3x4o∞x4/3*b. Though this regiment is chonnic, it can be taken as a kaleidoscopic nonwythoffian under octettic, turning the sossas into their irregular-quadrilateral-vert forms. You can find dactapa and cadca in there, but to get anything cool you need the superregiment, which we'll see later in the misc category.
140. Gacpaca - Great cubatiprismatocubatiapeiratic honeycomb. Cells are gossas, toes, azips, and gircoes. Symbol is x3x4x∞o4/3*b.
141. Gadich - Grand apeiratidicubatic honeycomb. Cells are sosts, quitcoes, and gircoes. The "grand" here doesn't mean anything and is just a bonus word so that things don't get named the same. Previously radich.
142. Dicach - Dicubatiapeiraticubatic honeycomb. Cells are thats, tics, quiths, and cotcoes. Symbol is x3o3x4/3x4*a3*c. This regiment also gets involved in sabdiptica.
143. Cadich - Cubatiapeiratidicubatic honeycomb. Cells are thas, tics, quiths, and satsas. Symbol is x3o3/2x4/3x4*a∞*c.
144. Cadah - Cubatidiapeiratic honeycomb. Cells are hohas, cotcoes, and satsas. Previously racda.
145. Tica - Tricubatiapeiratic honeycomb. Cells are coes, tics, quiths, and qrasquits. Symbol is x3o3x4x4/3*a. This regiment can be found secretly hiding in wavicac, and comes into play for the wavicac subsymmetrics. You may notice this name refers to the coes as "cubati" even though they're tetrahedral. This was a mistake made by my predecessors. This has been corrected for the other two names here, but I have decided to not change the names of regiment colonels for backwards compatibility purposes, so that's why this one is weird.
146. Tecdich - Tetracubatidicubatic honeycomb. Cells are ohoes, tics, quiths, and cotcoes. Symbol is x3o3/2x4/3x4*a3*c. Previously dacdich.
147. Roteca - Rhombic tetracubatiapeiratic honeycomb. Cells are choes, qrasquits, and cotcoes. Previously rocaca.
148. Setcach - Small tetracubatiapeiraticubatic honeycomb. Cells are sircoes, tuts, quitsquats, and quitcoes. Symbol is x3x3o4x4/3*a. This regiment has some very very thin verfs. More "most spikiest" competitors. Things with quitsquats in them tend to do that a lot.
149. Sadcata - Small dicubatitetraapeiratic honeycomb. Cells are soccoes, tuts, quitsquats, and cotcoes. Symbol is x3o4/3x4/3x3*a4*c.
150. Sartich - Small rhombic tricubatic honeycomb. Cells are srohs, quitcoes, and cotcoes.
151. Gadcata - Great dicubatitetraapeiratic honeycomb. Cells are goccoes, tuts, tosquats, and cotcoes. Symbol is x3o4x4x3*a4/3*c.
152. Getcach - Great tetracubatiapeiraticubatic honeycomb. Cells are quercoes, tuts, tosquats, and gircoes. Symbol is o3x3x4x4/3*a.
153. Gartich - Great rhombic tricubatic honeycomb. Cells are grohs, cotcoes, and gircoes.
The following honeycombs are self conjugate: gadich, dicach, cadich, cadah, tica, tecdich, roteca.
The following form conjugate pairs: prich-quipqrich, sepdica-gapdica, sirpaca-garpaca, quiprich-paqrich, mipdica-gepdica, mirpaca-girpaca, sacpaca-gacpaca, setcach-getcach, sadcata-gadcata, sartich-gartich.
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Site by Benjamin Klein, based on the work of Eric Binnendyk
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