The stut cadoca regiment is the ultimate Wythoffian honeycomb regiment with 79 members, including 6 Wythoffians. The vertex figures are facetings of a triangular cupola with a regular hexagon as the base. This regiment has octet symmetry. This regiment is analogous to the stut phiddix and getit xethi regiments in Jonathan Bowers' polychoron list.
An orthogonal projection of the vertices and edges of stut cadoca.
A model of part of stut cadoca made with vZome.
These nine honeycombs include the six Wythoffians and three blends of Wythoffians.
284. Stut Cadoca - Small tritrigonary cubatidicubatiapeiratic honeycomb. Cells are cubes, trats, goccoes, and quiths. Symbol is x3o3o4x4/3*a3*c.
285. Stut Dacda - Small tritrigonary dicubatidiapeiratic honeycomb. Cells are cubes, ditathas, quiths, and sossas. Symbol is o3o3/2x4/3x4*a~*c.
286. Getit Cadoca - Great tritrigonary cubatidicubatiapeiratic honeycomb. Cells are cubes, trats, soccoes, and tics. Symbol is o3o3x4x4/3*a3*c.
287. Getit Dacda - Great tritrigonary dicubatidiapeiratic honeycomb. Cells are cubes, ditathas, gossas, and tics. Symbol is o3o3/2x4x4/3*a~*c.
288. Stut Padoca - Small tritrigonary prismatodicubatiapeiratic honeycomb. Cells are cubes, ditathas, quercoes, and azips. Symbol is x4o3o~x3/2*b.
289. Getit Padoca - Great tritrigonary prismatodicubatiapeiratic honeycomb. Cells are cubes, ditathas, sircoes, and azips. Symbol is x4o3x~o3/2*b.
290. Stutacda - Small tritrigonary cubatidiapeiratic honeycomb. Cells are ditathas, goccoes, and sossas.
291. Getitacda - Great tritrigonary cubatidiapeiratic honeycomb. Cells are ditathas, gossas, and soccoes.
292. Titdoca - Tritrigonary dicubatiapeiratic honeycomb. Cells are trats, quercoes, and sircoes.
These nine form three blending triads, where the verfs in each trio are abstractly equivalent to each other. None of them contain trat regiment members.
293. Stut Catich - Small tritrigonary cubatitricubatic honeycomb. Cells are cubes, quercoes, srohs, and tics.
294. Stut Pacoca - Small tritrigonary prismatocubaticubatiapeiratic honeycomb. Cells are cubes, gossas, srohs, and azips.
295. Stut Pocach - Small tritrigonary prismatocubatiapeiraticubatic honeycomb. Cells are quercoes, gossas, tics, and azips.
296. Getit Catich - Great tritrigonary cubatitricubatic honeycomb. Cells are cubes, grohs, quiths, and sircoes.
297. Getit Pocach - Great tritrigonary prismatocubatiapeiraticubatic honeycomb. Cells are quiths, sossas, sircoes, and azips.
298. Getit Pacoca - Great tritrigonary prismatocubaticubatiapeiratic honeycomb. Cells are cubes, grohs, sossas, and azips.
299. Titdacdoch - Tritrigonary dicubatidicubatic honeycomb. Cells are goccoes, quiths, soccoes, and tics.
300. Stut Dacoca - Small tritrigonary dicubaticubatiapeiratic honeycomb. Cells are cubes, quiths, sosts, and soccoes.
301. Getit Dacoca - Great tritrigonary dicubaticubatiapeiratic honeycomb. Cells are cubes, goccoes, sosts, and tics.
These nine are grouped into sets of three, but don't form blending triads.
302. Stut Padicda - Small tritrigonary prismatodicubatidiapeiratic honeycomb. Cells are trats, gossas, sircoes, tics, and azips.
303. Stut Patoca - Small tritrigonary prismatotricubatiapeiratic honeycomb. Cells are ditathas, quercoes, soccoes, tics, and azips.
304. Stut Dacopa - Small tritrigonary dicubatiprismatoapeiratic honeycomb. Cells are ditathas, srohs, tics, and azips.
305. Getit Padicda - Great tritrigonary prismatodicubatidiapeiratic honeycomb. Cells are trats, quercoes, quiths, sossas, and azips.
306. Getit Dacopa - Great tritrigonary dicubatiprismatoapeiratic honeycomb. Cells are ditathas, grohs, quiths, and azips.
307. Getit Patoca - Great tritrigonary prismatotricubatiapeiratic honeycomb. Cells are ditathas, goccoes, quiths, sircoes, and azips.
308. Titdacda - Tritrigonary dicubatidiapeiratic honeycomb. Cells are trats, quiths, sosts, and tics.
309. Getit Tacda - Great tritrigonary tricubatidiapeiratic honeycomb. Cells are ditathas, goccoes, quiths, gossas, and tics.
310. Stut Tacda - Small tritrigonary tricubatidiapeiratic honeycomb. Cells are ditathas, quiths, sossas, soccoes, and tics.
These nine are grouped into sets of three, but don't form blending triads. They have two types of "butterfly" faces in their verfs.
311. Totdicdica - Tritrigonary dicubatidicubatiapeiratic honeycomb. Cells are trats, grohs, quiths, srohs, and tics.
312. Stut Dacpada - Small tritrigonary dicubatiprismatodiapeiratic honeycomb. Cells are ditathas, quiths, sosts, srohs, and azips.
313. Getit Dacpada - Great tritrigonary dicubatiprismatodiapeiratic honeycomb. Cells are ditathas, grohs, sosts, tics, and azips.
314. Stut Tucda - Small tritrigonary tetriscubatidiapeiratic honeycomb. Cells are cubes, ditathas, grohs, quiths, gossas, and srohs.
315. Stut Caticda - Small tritrigonary cubatitricubatidiapeiratic honeycomb. Cells are cubes, trats, quercoes, quiths, sosts, and srohs.
316. Getit Tucda - Great tritrigonary tetriscubatidiapeiratic honeycomb. Cells are cubes, ditathas, grohs, sossas, srohs, and tics.
317. Getit Caticda - Great tritrigonary cubatitricubatidiapeiratic honeycomb. Cells are cubes, trats, grohs, sosts, sircoes, and tics.
318. Stut Paticda - Small tritrigonary prismatotricubatidiapeiratic honeycomb. Cells are cubes, ditathas, goccoes, sosts, srohs, and azips.
319. Getit Paticda - Great tritrigonary prismatotricubatidiapeiratic honeycomb. Cells are cubes, ditathas, grohs, sosts, soccoes, and azips.
These seven include one with a toroidal spiky verf with three types of butterfly faces (the chosen one). The next three have hexagonal tilings as cells, which come in compounds of three known as "fexats" (fissal hexagonal tilings). The last three have pseudo-hexats as cells.
320. Totitdoca - Toroidotritrigonary dicubatiapeiratic honeycomb. Cells are grohs, sosts, and srohs.
321. Stutdica - Small tritrigonary dicubatiapeiratic honeycomb. Cells are hexats, grohs, and quitcoes.
322. Titcada - Tritrigonary cubatidiapeiratic honeycomb. Cells are hexats, sosts, and cotcoes.
323. Getitdica - Great tritrigonary dicubatiapeiratic honeycomb. Cells are hexats, srohs, and gircoes.
324. Stutcadoch - Small tritrigonary cubatidicubatic honeycomb. Cells are grohs, gircoes, and cotcoes.
325. Titcach - Tritrigonary cubatiapeiraticubatic honeycomb. Cells are sosts, gircoes, and quitcoes.
326. Getitcadoch - Great tritrigonary cubatidicubatic honeycomb. Cells are srohs, quitcoes, and cotcoes.
These all include fexats and cubes as cells. They have five types of cells.
327. Stut Catoca - Small tritrigonary cubatitricubatiapeiratic honeycomb. Cells are cubes, hexats, quiths, sircoes, and quitcoes.
328. Stut Pacocda - Small tritrigonary prismatocubaticubatidiapeiratic honeycomb. Cells are cubes, hexats, sossas, azips, and quitcoes.
329. Stut Tacoca - Small tritrigonary tricubaticubatiapeiratic honeycomb. Cells are cubes, hexats, quiths, soccoes, and cotcoes.
330. Getit Tacoca - Great tritrigonary tricubaticubatiapeiratic honeycomb. Cells are cubes, hexats, sossas, tics, and cotcoes.
331. Getit Pacocda - Great tritrigonary prismatocubaticubatidiapeiratic honeycomb. Cells are cubes, hexats, gossas, azips, and gircoes.
332. Getit Catoca - Great tritrigonary cubatitricubatiapeiratic honeycomb. Cells are cubes, hexats, quercoes, tics, and gircoes.
These also have fexats and cubes and have six types of cells. Unlike the previous set, their verfs are non-orientable.
333. Stut Dacdicda - Small tritrigonary dicubatidicubatidiapeiratic honeycomb. Cells are cubes, hexats, quercoes, sosts, tics, and quitcoes.
334. Stut Dactica - Small tritrigonary dicubatitricubatiapeiratic honeycomb. Cells are cubes, hexats, goccoes, srohs, tics, and quitcoes.
335. Stut Pacdicda - Small tritrigonary prismatocubatidicubatidiapeiratic honeycomb. Cells are cubes, hexats, grohs, gossas, azips, and cotcoes.
336. Getit Pacdicda - Great tritrigonary prismatocubatidicubatidiapeiratic honeycomb. Cells are cubes, hexats, sossas, srohs, azips, and cotcoes.
337. Getit Dactica - Great tritrigonary dicubatitricubatiapeiratic honeycomb. Cells are cubes, hexats, grohs, quiths, soccoes, and gircoes.
338. Getit Dacdicda - Great tritrigonary dicubatidicubatidiapeiratic honeycomb. Cells are cubes, hexats, quiths, sosts, sircoes, and gircoes.
These six have six types of cells, which include fexats but not cubes. They have very intricate verfs.
339. Stut Tacdica - Small tritrigonary tricubatidicubatiapeiratic honeycomb. Cells are hexats, quercoes, quiths, soccoes, tics, and quitcoes.
340. Stut Putca - Small tritrigonary prismatotetriscubatiapeiratic honeycomb. Cells are hexats, goccoes, gossas, tics, azips, and quitcoes.
341. Stut Pactica - Small tritrigonary prismatocubatitricubatiapeiratic honeycomb. Cells are hexats, quiths, gossas, sircoes, azips, and cotcoes.
342. Getit Pactica - Great tritrigonary prismatocubatitricubatiapeiratic honeycomb. Cells are hexats, quercoes, sossas, tics, azips, and cotcoes.
343. Getit Putca - Great tritrigonary prismatotetriscubatiapeiratic honeycomb. Cells are hexats, quiths, sossas, soccoes, azips, and gircoes.
344. Getit Tacdica - Great tritrigonary tricubatidicubatiapeiratic honeycomb. Cells are hexats, goccoes, quiths, sircoes, tics, and gircoes.
These six have six types of cells. They have the hexagonal faces of fexat without having fexats themselves.
345. Stut Dactoch - Small tritrigonary dicubatitricubatic honeycomb. Cells are cubes, quiths, sircoes, gircoes, and cotcoes.
346. Stut Tuca - Small tritrigonary tetriscubatiapeiratic honeycomb. Cells are cubes, sossas, azips, gircoes, and cotcoes.
347. Stut Tacdoch - Small tritrigonary tricubatidicubatic honeycomb. Cells are cubes, quiths, soccoes, gircoes, and quitcoes.
348. Getit Tacdoch - Great tritrigonary tricubatidicubatic honeycomb. Cells are cubes, goccoes, tics, gircoes, and quitcoes.
349. Getit Tuca - Great tritrigonary tetriscubatiapeiratic honeycomb. Cells are cubes, gossas, azips, quitcoes, and cotcoes.
350. Getit Dactoch - Great tritrigonary dicubatitricubatic honeycomb. Cells are cubes, quercoes, tics, quitcoes, and cotcoes.
These three have five types of cells, including trat or ditatha.
351. Tatcatica - Tritrigonary cubatitricubatiapeiratic honeycomb. Cells are trats, quiths, tics, gircoes, and quitcoes.
352. Stut Capdoca - Small tritrigonary cubatiprismatodicubatiapeiratic honeycomb. Cells are ditathas, quiths, azips, gircoes, and cotcoes.
353. Getit Capdoca - Great tritrigonary cubatiprismatodicubatiapeiratic honeycomb. Cells are ditathas, tics, azips, quitcoes, and cotcoes.
The first six have six types of cells including cubes, while the last three have five types of cells not including cubes. The first six and the last three form sets with verfs that are topologically identical to each other.
354. Stut Tucoca - Small tritrigonary tetriscubaticubatiapeiratic honeycomb. Cells are cubes, trats, sircoes, tics, quitcoes, and cotcoes.
355. Stut Cacdicda - Small tritrigonary cubaticubatidicubatidiapeiratic honeycomb. Cells are cubes, ditathas, quiths, gossas, gircoes, and quitcoes.
356. Stut Patuca - Small tritrigonary prismatotetriscubatiapeiratic honeycomb. Cells are cubes, ditathas, goccoes, azips, gircoes, and cotcoes.
357. Getit Tucoca - Great tritrigonary tetriscubaticubatiapeiratic honeycomb. Cells are cubes, trats, quercoes, quiths, gircoes, and cotcoes.
358. Getit Patuca - Great tritrigonary prismatotetriscubatiapeiratic honeycomb. Cells are cubes, ditathas, soccoes, azips, quitcoes, and cotcoes.
359. Getit Cacdicda - Great tritrigonary cubaticubatidicubatidiapeiratic honeycomb. Cells are cubes, ditathas, sossas, tics, gircoes, and quitcoes.
360. Totactica - Tritrigonary cubatitricubatiapeiratic honeycomb. Cells are trats, goccoes, soccoes, gircoes, and quitcoes.
361. Stut Dicacda - Small tritrigonary dicubaticubatidiapeiratic honeycomb. Cells are ditathas, sossas, sircoes, gircoes, and cotcoes.
362. Getit Dicacda - Great tritrigonary dicubaticubatidiapeiratic honeycomb. Cells are ditathas, quercoes, gossas, quitcoes, and cotcoes.
The following honeycombs are self conjugate: Any whose name starts with T.
The following form conjugate pairs: Those whose names start with "stut" or "getit". To find the conjugate, change "stut" at the beginning to "getit" or vice versa.