This category contains the members of the gacoca regiment. Gacoca is a chonnic square podiumvert, and as such behaves sorta like rich under square podiumvert subsymmetry. Of course, this means it can also take rectangular frustumvert subsymmetry under octettic, which leads to analogues of the rest of the rich regiment too. You can treat gacoca as being equivalent to rich but the podium and antipodium symmetrics get doubled due to less supersymmetry. Their vertex figures are all facetings of a square podium, obviously.
These gacoca members are full symmetric, as chonnics, and furthermore are self-revert, meaning they have no cubes or azips. These gacoca members are equivalent to the chonnic rich members.
176. Gacoca - Great cubaticubatiapeiratic honeycomb. Cells are octs, goccoes, and squats. Symbols are o4o3x4/3x4*b and x3o4x4o3*a4/3*c.
177. Scoca - Small cubaticubatiapeiratic honeycomb. Cells are octs, soccoes, and squats. Symbols are o4o3x4x4/3*b and x3o4/3x4/3o3*a4*c.
178. Doccoh - Dicubicuboctahedral honeycomb. Cells are goccoes and soccoes.
179. Dircoh - Dirhombicuboctahedral honeycomb. Cells are quercoes and sircoes.
180. Drohah - Dirhombihexahedral honeycomb. Cells are grohs and srohs.
181. Sodaca - Small octadicubatiapeiratic honeycomb. Cells are octs, quercoes, srohs, and squats.
182. Godaca - Great octadicubatiapeiratic honeycomb. Cells are octs, grohs, sircoes, and squats.
These gacoca members have full symmetry, but contain cubes or azips, putting them into revert pairs. The revert of a gacoca member is identical in every way, but swaps cubes for azips and vice versa. Gacoca members also have inflections, which sorta makes everything retrograde, but this is equivalent to conjugacy. These ones are equivalent to the podite octettic rich members, with 2 gacocas for each rich. The names for the ones with cubes used to refer to the ones with azips, and the names for the azip ones are completely new. Try not to get confused.
183. Gnappoch - Great spinoprismatocubatic honeycomb. Cells are grohs and cubes.
184. Gnacheph - Great spinocubatihemiprismatic honeycomb. Cells are grohs and azips.
185. Snappoch - Small spinoprismatocubatic honeycomb. Cells are srohs and cubes.
186. Snacheph - Small spinocubatihemiprismatic honeycomb. Cells are srohs and azips.
187. Gapdoch - Great prismatodicubatic honeycomb. Cells are goccoes, sircoes, and cubes.
188. Gadocheph - Great dicubatihemiprismatic honeycomb. Cells are goccoes, sircoes, and azips.
189. Sapdoch - Small prismatodicubatic honeycomb. Cells are quercoes, soccoes, and cubes.
190. Sadocheph - Small dicubatihemiprismatic honeycomb. Cells are quercoes, soccoes, and azips.
191. Gopaca - Great octaprismatocubatiapeiratic honeycomb. Cells are octs, quercoes, squats, and cubes.
192. Gocahpa - Great octacubatihemiprismatoapeiratic honeycomb. Cells are octs, quercoes, squats, and azips.
193. Sopaca - Small octaprismatocubatiapeiratic honeycomb. Cells are octs, sircoes, squats, and cubes.
194. Socahpa - Small octacubatihemiprismatoapeiratic honeycomb. Cells are octs, sircoes, squats, and azips.
These members have octettic symmetry, but are self-revert and do not contain thahs. These correspond to the isotoxal octettic rich members that do not contain thahs.
195. Odaca - Octadicubatiapeiratic honeycomb. Cells are octs, quercoes, sircoes, and squats. Symbol is o3x3o4x4/3*a.
196. Satich - Small tricubatic honeycomb. Cells are goccoes, grohs, and sircoes.
197. Gatich - Great tricubatic honeycomb. Cells are quercoes, soccoes, and srohs.
198. Odicdica - Octadicubatidicubatiapeiratic honeycomb. Cells are octs, goccoes, grohs, soccoes, srohs, and squats.
199. Wadoca - Sphenodicubatiapeiratic honeycomb. Cells are goccoes, soccoes, and sosts.
200. Odacda - Octadicubatidiapeiratic honeycomb. Cells are octs, goccoes, soccoes, sosts, and squats.
201. Nadoca - Spinodicubatiapeiratic honeycomb. Cells are grohs, srohs, and sosts.
202. Gocdacda - Great octacubatidicubatidiapeiratic honeycomb. Cells are octs, goccoes, quercoes, srohs, sosts, and squats.
203. Socdacda - Small octacubatidicubatidiapeiratic honeycomb. Cells are octs, grohs, sircoes, soccoes, sosts, and squats.
204. Idacdica - Invertidicubatidicubatiapeiratic honeycomb. Cells are quercoes, grohs, sircoes, srohs, and sosts.
205. Rodacdica - Retrodicubatidicubatiapeiratic honeycomb. Cells are goccoes, quercoes, sircoes, soccoes, and sosts.
These members have octettic symmetry and are self-revert. The thing that differentiates these from the above group is that they have thahs and shas, which looks very weird in this sort of regiment. These are also required by law to contain either sossas or gossas, and are the only places sossas and gossas appear in the regiment. These can be considered analogous to the isotoxal octettic rich members with thahs.
206. Ghahocaha - Great hemihexacubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, sossas, and shas.
207. Shahocaha - Small hemihexacubatiapeiratihemiapeiratic honeycomb. Cells are thahs, soccoes, gossas, and shas.
208. Ghahdicaha - Great hemihexadicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, srohs, gossas, and shas.
209. Shahdicaha - Small hemihexadicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, grohs, sircoes, sossas, and shas.
210. Ghahticaha - Great hemihexatricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, grohs, srohs, gossas, and shas.
211. Shahticaha - Small hemihexatricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, grohs, soccoes, srohs, sossas, and shas.
212. Ghahdicocaha - Great hemihexadicubaticubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, quercoes, sircoes, sossas, and shas.
213. Shahdicocaha - Small hemihexadicubaticubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, sircoes, soccoes, gossas, and shas.
214. Shahcticaha - Small hemihexacubatitricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, grohs, sircoes in two positions, sossas, and shas.
215. Ghahcticaha - Great hemihexacubatitricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes in two positions, sircoes, srohs, gossas, and shas.
216. Ghahcdicaha - Great hemihexacubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes in two positions, soccoes, gossas, and shas.
217. Shahcdicaha - Small hemihexacubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, soccoes in two positions, sossas, and shas.
218. Shahdicdicaha - Small hemihexadicubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, grohs in two positions, sircoes, srohs, gossas, and shas.
219. Ghahdicdicaha - Great hemihexadicubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, grohs, srohs in two positions, sossas, and shas.
These members are octettic and form revert pairs, one with cubes and one with azips. They do not contain thahs. These can be considered analogous to the cyclotettic rich members, with 2 gacocas for each rich. The names for the ones with cubes used to refer to the ones with azips, and the names for the azip ones are completely new. Try not to get confused.
220. Padoch - Prismatodicubatic honeycomb. Cells are quercoes, sircoes, and cubes.
221. Dicheph - Dicubatihemiprismatic honeycomb. Cells are quercoes, sircoes, and azips.
222. Padicdoch - Prismatodicubatidicubatic honeycomb. Cells are goccoes, grohs, soccoes, srohs, and cubes.
223. Dicdicheph - Dicubatidicubatihemiprismatic honeycomb. Cells are goccoes, grohs, soccoes, srohs, and azips.
224. Soptica - Small octaprismatotricubatiapeiratic honeycomb. Cells are octs, goccoes, grohs, sircoes, cubes, and squats.
225. Sotichpa - Small octatricubatihemiprismatoapeiratic honeycomb. Cells are octs, goccoes, grohs, sircoes, azips, and squats.
226. Goptica - Great octaprismatotricubatiapeiratic honeycomb. Cells are octs, quercoes, soccoes, srohs, cubes, and squats.
227. Gotichpa - Great octatricubatihemiprismatoapeiratic honeycomb. Cells are octs, quercoes, soccoes, srohs, azips, and squats.
228. Gapocdica - Great prismatocubatidicubatiapeiratic honeycomb. Cells are quercoes, grohs, soccoes, cubes, and sosts.
229. Gacdichpa - Great cubatidicubatihemiprismatoapeiratic honeycomb. Cells are quercoes, grohs, soccoes, azips, and sosts.
230. Spocdica - Small prismatocubatidicubatiapeiratic honeycomb. Cells are goccoes, sircoes, srohs, cubes, and sosts.
231. Sacdichpa - Small cubatidicubatihemiprismatoapeiratic honeycomb. Cells are goccoes, sircoes, srohs, azips, and sosts.
232. Pacoca - Prismatocubaticubatiapeiratic honeycomb. Cells are srohs, grohs, cubes, and sosts.
233. Cachpa - Cubaticubatihemiprismatoapeiratic honeycomb. Cells are srohs, grohs, azips, and sosts.
234. Gopticda - Great octaprismatotricubatidiapeiratic honeycomb. Cells are octs, goccoes, quercoes, srohs, cubes, sosts, and squats.
235. Gotichpida - Great octatricubatihemiprismatodiapeiratic honeycomb. Cells are octs, goccoes, quercoes, srohs, azips, sosts, and squats.
236. Sopticda - Small octaprismatotricubatidiapeiratic honeycomb. Cells are octs, grohs, sircoes, soccoes, cubes, sosts, and squats.
237. Sotichpida - Small octatricubatihemiprismatodiapeiratic honeycomb. Cells are octs, grohs, sircoes, soccoes, azips, sosts, and squats.
238. Snopticda - Small spinooctaprismatotricubatidisapeiratic honeycomb. Cells are octs, goccoes, sircoes, srohs, cubes, sosts, and squats.
239. Snotichpida - Small spinooctatricubatihemiprismatodisapeiratic honeycomb. Cells are octs, goccoes, sircoes, srohs, azips, sosts, and squats.
240. Ganopticda - Great spinooctaprismatotricubatidisapeiratic honeycomb. Cells are octs, quercoes, grohs, soccoes, cubes, sosts, and squats.
241. Ganotichpida - Great spinooctatricubatihemiprismatodisapeiratic honeycomb. Cells are octs, quercoes, grohs, soccoes, azips, sosts, and squats.
C. Fidpih - Fissal disprismatic honeycomb. Cells are cubes and azips. This is a compound of squazedips (square*apeirogon duoprisms). It has full chonnic symmetry, and is the thing you blend with to make reverts. This can be considered analogous to fitituoh. Previously fapoch.
The following honeycombs are self conjugate: doccoh, dircoh, drohah, odaca, odicdica, wadoca, odacda, nadoca, idacdica, rodacdica, padoch, dicheph, padicdoch, dicdicheph, pacoca, cachpa, fidpich
The following form conjugate pairs: gacoca-scoca, sodaca-godaca, gnappoch-snappoch, gnacheph-snacheph, gapdoch-sapdoch, gadocheph-sadocheph, sopaca-gopaca, gocahpa-socahpa, satich-gatich, gocdacda-socdacda, ghahocaha-shahocaha, ghahdicaha-shahdicaha, ghahticaha-shahticaha, ghahdicocaha-shahdicocaha, shahcticaha-ghahcticaha, ghahcdicaha-shahcdicaha, shahdicdicah-ghahdicdicaha, soptica-goptica, sotichpa-gotichpa, gapocdica-spocdica, gacdichpa-sacdichpa, gopticda-sopticda, goptichpida-soptichpida, snopticda-ganopticda, snoptichpida-ganoptichpida
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