Gacoca is one possible 3D analog of sossa. The easiest way to imagine gacoca is to start with a cubic honeycomb and remove pieces of the cubes to form goccoes. Then connect the triangles to octahedra where the vertices used to be, and connect the squares to square tilings. Gacoca can also be described as being to chon what gittith is to tes.
The gacoca regiment has 66 members, 19 of which have full chonnic symmetry while the rest have octettic symmetry. Their vertex figures are facetings of a square podium. I previously put the octettic symmetry members in a category called "antifrustumverts."
These are the members with full chonnic symmetry whose vertex figures are self-revert. There's also a compound of square-apeirogon duoprisms called "fapoch" or fissal prismatocubic honeycomb.
159. Gacoca - Great cubaticubatiapeiratic honeycomb. Cells are octs, goccoes, and squats. Symbol is o4o3x4/3x4*b (full symmetry) or x3o4x4o3*a4/3*c (half symmetry).
160. Scoca - Small cubaticubatiapeiratic honeycomb. Cells are octs, soccoes, and squats. Symbol is o4o3x4x4/3*b (full symmetry) or x3o4/3x4/3o3*a4*c (half symmetry).
161. Doccoh - Dicubicuboctahedral honeycomb. Cells are goccoes and soccoes.
162. Dircoh - Dirhombicuboctahedral honeycomb. Cells are quercoes and sircoes.
163. Drohah - Dirhombihexahedral honeycomb. Cells are grohs and srohs.
164. Sodaca - Small octadicubatiapeiratic honeycomb. Cells are octs, quercoes, srohs, and squats.
165. Godaca - Great octadicubatiapeiratic honeycomb. Cells are octs, grohs, sircoes, and squats.
These are the members with full chonnic symmetry whose vertex figures form revert pairs. The pairs are the same except one has cubes and one has azips.
166. Gnappoch - Great spinoprismatocubatic honeycomb. Cells are grohs and azips.
167. Gandich - Great spinodicubatic honeycomb. Cells are grohs and cubes.
168. Snappoch - Small spinoprismatocubatic honeycomb. Cells are srohs and azips.
169. Sandich - Small spinodicubatic honeycomb. Cells are srohs and cubes.
170. Sapdoch - Small prismatodicubatic honeycomb. Cells are quercoes, soccoes, and azips.
171. Sacdoch - Small cubatidicubatic honeycomb. Cells are quercoes, soccoes, and cubes.
172. Gapdoch - Great prismatodicubatic honeycomb. Cells are goccoes, sircoes, and azips.
173. Gacdoch - Great cubatidicubatic honeycomb. Cells are goccoes, sircoes, and cubes.
174. Sopaca - Small octaprismatocubatiapeiratic honeycomb. Cells are octs, sircoes, squats, and azips.
175. Socaca - Small octacubaticubatiapeiratic honeycomb. Cells are octs, sircoes, squats, and cubes.
176. Gopaca - Great octaprismatocubatiapeiratic honeycomb. Cells are octs, quercoes, squats, and azips.
177. Gocaca - Great octacubaticubatiapeiratic honeycomb. Cells are octs, quercoes, squats, and cubes.
These are the simplest members with octettic symmetry that are self-revert.
178. Odaca - Octadicubatiapeiratic honeycomb. Cells are octs, quercoes, sircoes, and squats. Symbol is o3x3o4x4/3*a.
179. Satich - Small tricubatic honeycomb. Cells are goccoes, grohs, and sircoes.
180. Gatich - Great tricubatic honeycomb. Cells are quercoes, soccoes, and srohs.
181. Odicdica - Octadicubatidicubatiapeiratic honeycomb. Cells are octs, goccoes, grohs, soccoes, srohs, and squats.
These are the simplest revert pairs with octettic symmetry.
182. Cadoch - Cubatidicubatic honeycomb. Cells are quercoes, sircoes, and cubes.
183. Padoch - Prismatodicubatic honeycomb. Cells are quercoes, sircoes, and azips.
184. Soctica - Small octacubatitricubatiapeiratic honeycomb. Cells are octs, goccoes, grohs, sircoes, cubes, and squats.
185. Soptica - Small octaprismatotricubatiapeiratic honeycomb. Cells are octs, goccoes, grohs, sircoes, azips, and squats.
186. Goctica - Great octacubatitricubatiapeiratic honeycomb. Cells are octs, quercoes, soccoes, srohs, cubes, and squats.
187. Goptica - Great octaprismatotricubatiapeiratic honeycomb. Cells are octs, quercoes, soccoes, srohs, azips, and squats.
188. Cadicdoch - Cubatidicubatidicubatic honeycomb. Cells are goccoes, grohs, soccoes, srohs, and cubes.
189. Padicdoch - Prismatodicubatidicubatic honeycomb. Cells are goccoes, grohs, soccoes, srohs, and azips.
These are the simplest members with squarisquare tilings (sosts). They have octet symmetry.
190. Wadoca - Sphenodicubatiapeiratic honeycomb. Cells are goccoes, soccoes, and sosts.
191. Nadoca - Spinodicubatiapeiratic honeycomb. Cells are grohs, srohs, and sosts.
These three with octet symmetry have "windows" in their vertex figures.
192. Odacda - Octadicubatidiapeiratic honeycomb. Cells are octs, goccoes, soccoes, sosts, and squats.
193. Gocdacda - Great octacubatidicubatidiapeiratic honeycomb. Cells are octs, goccoes, quercoes, srohs, sosts, and squats.
194. Socdacda - Small octacubatidicubatidiapeiratic honeycomb. Cells are octs, grohs, sircoes, soccoes, sosts, and squats.
These two have five types of cells. They have octet symmetry.
195. Rodacdica - Retrodicubatidicubatiapeiratic honeycomb. Cells are goccoes, quercoes, sircoes, soccoes, and sosts.
196. Idacdica - Invertidicubatidicubatiapeiratic honeycomb. Cells are quercoes, grohs, sircoes, srohs, and sosts.
These are the simple revert pairs with sost as cells. They have octet symmetry.
197. Dacoca - Dicubaticubatiapeiratic honeycomb. Cells are srohs, grohs, cubes, and sosts.
198. Pacoca - Prismatocubaticubatiapeiratic honeycomb. Cells are srohs, grohs, azips, and sosts.
199. Gacocdica - Great cubaticubatidicubatiapeiratic honeycomb. Cells are quercoes, grohs, soccoes, cubes, and sosts.
200. Gapocdica - Great prismatocubatidicubatiapeiratic honeycomb. Cells are quercoes, grohs, soccoes, azips, and sosts.
201. Scocdica - Small cubaticubatidicubatiapeiratic honeycomb. Cells are goccoes, sircoes, srohs, cubes, and sosts.
202. Spocdica - Small prismatocubatidicubatiapeiratic honeycomb. Cells are goccoes, sircoes, srohs, azips, and sosts.
These have seven cell types and form revert pairs. They have octet symmetry.
203. Gocticda - Great octacubatitricubatidiapeiratic honeycomb. Cells are octs, goccoes, quercoes, srohs, cubes, sosts, and squats.
204. Gopticda - Great octaprismatotricubatidiapeiratic honeycomb. Cells are octs, goccoes, quercoes, srohs, azips, sosts, and squats.
205. Snocticda - Small spinooctacubatitricubatidisapeiratic honeycomb. Cells are octs, goccoes, sircoes, srohs, cubes, sosts, and squats.
206. Snopticda - Small spinooctaprismatotricubatidisapeiratic honeycomb. Cells are octs, goccoes, sircoes, srohs, azips, sosts, and squats.
207. Ganocticda - Great spinooctacubatitricubatidisapeiratic honeycomb. Cells are octs, quercoes, grohs, soccoes, cubes, sosts, and squats.
208. Ganopticda - Great spinooctaprismatotricubatidisapeiratic honeycomb. Cells are octs, quercoes, grohs, soccoes, azips, sosts, and squats.
209. Socticda - Small octacubatitricubatidiapeiratic honeycomb. Cells are octs, grohs, sircoes, soccoes, cubes, sosts, and squats.
210. Sopticda - Small octaprismatotricubatidiapeiratic honeycomb. Cells are octs, grohs, sircoes, soccoes, azips, sosts, and squats.
These have tetrahemihexahedra (thahs) and square hemiapeirogonal tilings (shas) as cells, which means they must also have small or great squarisquariapeirogonal tilings (sossas or gossas) as hemi-cells and cannot have cubes or azips.
211. Ghahocaha - Great hemihexacubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, sossas, and shas.
212. Shahocaha - Small hemihexacubatiapeiratihemiapeiratic honeycomb. Cells are thahs, soccoes, gossas, and shas.
213. Ghahcdicaha - Great hemihexacubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes in two positions, soccoes, gossas, and shas.
214. Shahcdicaha - Small hemihexacubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, soccoes in two positions, sossas, and shas.
215. Ghahdicaha - Great hemihexadicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, srohs, gossas, and shas.
216. Shahdicaha - Small hemihexadicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, grohs, sircoes, sossas, and shas.
217. Ghahticaha - Great hemihexatricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, grohs, srohs, gossas, and shas.
218. Shahticaha - Small hemihexatricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, grohs, soccoes, srohs, sossas, and shas.
219. Ghahdicocaha - Great hemihexadicubaticubatiapeiratihemiapeiratic honeycomb. Cells are thahs, goccoes, quercoes, sircoes, sossas, and shas.
220. Shahdicocaha - Small hemihexadicubaticubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, sircoes, soccoes, gossas, and shas.
221. Ghahcticaha - Great hemihexacubatitricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes in two positions, sircoes, srohs, sossas, and shas.
222. Shahcticaha - Small hemihexacubatitricubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, grohs, sircoes in two positions, gossas, and shas.
223. Ghahdicdicaha - Great hemihexadicubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, quercoes, grohs, srohs in two positions, sossas, and shas.
224. Shahdicdicaha - Small hemihexadicubatidicubatiapeiratihemiapeiratic honeycomb. Cells are thahs, grohs in two positions, sircoes, srohs, gossas, and shas.
The following honeycombs are self conjugate: doccoh, dircoh, drohah, odaca, odicdica, cadoch, padoch, cadicdoch, padicdoch, wadoca, nadoca, odacda, rodacdica, idacdica, dacoca, and pacoca.
The following form conjugate pairs: gacoca - scoca, sodaca - godaca, gnappoch - snappoch, gandich - sandich, sapdoch - gapdoch, sacdoch - gacdoch, sopaca - gopaca, socaca - gocaca, satich - gatich, soctica - goctica, soptica - goptica, gocdacda - socdacda, gacocdica - scocdica, gapocdica - spocdica, gocticda - socticda, gopticda - sopticda, snocticda - ganocticda, snopticda - ganopticda, ghahocaha - shahocaha, ghahcdicaha - shahcdicaha, ghahdicaha - shahdicaha, ghahticaha - shahticaha, ghahdicocaha - shahdicocaha, ghahcticaha - shahcticaha, ghahdicdicaha - shahdicdicaha.