This category contains the members of the stut cadoca regiment. Stut cadoca's vertex figure is a shortened triangular cupola, and thus all of the vertex figures here are facetings of this triangular cupola. Everything here has octettic symmetry, which might shock you because there are no tetrahedral-symmetric cells, but trust me it's true. This regiment has identical structure to the stut phiddix and getit xethi regiments from the polychora, except it's a self-conjugate regiment, so conjugacy just swaps around the members of this regiment rather than sending you to a different one. The list is thus organized into the same weird subcategories as bowers, even though I don't really care for pointless subdivision without any major differences.
This set consists of the 6 wythoffians, which must all have cubes and a trat member, and the 3 blends of wythoffians, which lack the cubes.
280. Stut Cadoca - Small tritrigonary cubatidicubatiapeiratic honeycomb. Cells are cubes, trats, goccoes, and quiths. Symbol is x3o3o4x4/3*a3*c.
281. Stut Dacda - Small tritrigonary dicubatidiapeiratic honeycomb. Cells are cubes, ditathas, quiths, and sossas. Symbol is o3o3/2x4/3x4*a∞*c.
282. Getit Cadoca - Great tritrigonary cubatidicubatiapeiratic honeycomb. Cells are cubes, trats, soccoes, and tics. Symbol is o3o3x4x4/3*a3*c.
283. Getit Dacda - Great tritrigonary dicubatidiapeiratic honeycomb. Cells are cubes, ditathas, gossas, and tics. Symbol is o3o3/2x4x4/3*a∞*c.
284. Stut Padoca - Small tritrigonary prismatodicubatiapeiratic honeycomb. Cells are cubes, ditathas, quercoes, and azips. Symbol is x4o3o∞x3/2*b.
285. Getit Padoca - Great tritrigonary prismatodicubatiapeiratic honeycomb. Cells are cubes, ditathas, sircoes, and azips. Symbol is x4o3x∞o3/2*b.
286. Stutacda - Small tritrigonary cubatidiapeiratic honeycomb. Cells are ditathas, goccoes, and sossas.
287. Getitacda - Great tritrigonary cubatidiapeiratic honeycomb. Cells are ditathas, gossas, and soccoes.
288. Titdoca - Tritrigonary dicubatiapeiratic honeycomb. Cells are trats, quercoes, and sircoes.
These have four types of cells, and never use a trat member. They form groups of three where blending two of them gives the third.
289. Stut Catich - Small tritrigonary cubatitricubatic honeycomb. Cells are cubes, quercoes, srohs, and tics.
290. Stut Pacoca - Small tritrigonary prismatocubaticubatiapeiratic honeycomb. Cells are cubes, gossas, srohs, and azips.
291. Stut Pocach - Small tritrigonary prismatocubatiapeiraticubatic honeycomb. Cells are quercoes, gossas, tics, and azips.
292. Getit Catich - Great tritrigonary cubatitricubatic honeycomb. Cells are cubes, grohs, quiths, and sircoes.
293. Getit Pocach - Great tritrigonary prismatocubatiapeiraticubatic honeycomb. Cells are quiths, sossas, sircoes, and azips.
294. Getit Pacoca - Great tritrigonary prismatocubaticubatiapeiratic honeycomb. Cells are cubes, grohs, sossas, and azips.
295. Titdacdoch - Tritrigonary dicubatidicubatic honeycomb. Cells are goccoes, quiths, soccoes, and tics.
296. Stut Dacoca - Small tritrigonary dicubaticubatiapeiratic honeycomb. Cells are cubes, quiths, sosts, and soccoes.
297. Getit Dacoca - Great tritrigonary dicubaticubatiapeiratic honeycomb. Cells are cubes, goccoes, sosts, and tics.
These have either four or five types of cells, and contain trat members but no cubes.
298. Stut Padicda - Small tritrigonary prismatodicubatidiapeiratic honeycomb. Cells are trats, gossas, sircoes, tics, and azips.
299. Stut Patoca - Small tritrigonary prismatotricubatiapeiratic honeycomb. Cells are ditathas, quercoes, soccoes, tics, and azips.
300. Stut Dacopa - Small tritrigonary dicubatiprismatoapeiratic honeycomb. Cells are ditathas, srohs, tics, and azips.
301. Getit Padicda - Great tritrigonary prismatodicubatidiapeiratic honeycomb. Cells are trats, quercoes, quiths, sossas, and azips.
302. Getit Dacopa - Great tritrigonary dicubatiprismatoapeiratic honeycomb. Cells are ditathas, grohs, quiths, and azips.
303. Getit Patoca - Great tritrigonary prismatotricubatiapeiratic honeycomb. Cells are ditathas, goccoes, quiths, sircoes, and azips.
304. Titdacda - Tritrigonary dicubatidiapeiratic honeycomb. Cells are trats, quiths, sosts, and tics.
305. Getit Tacda - Great tritrigonary tricubatidiapeiratic honeycomb. Cells are ditathas, goccoes, quiths, gossas, and tics.
306. Stut Tacda - Small tritrigonary tricubatidiapeiratic honeycomb. Cells are ditathas, quiths, sossas, soccoes, and tics.
These contain trat members, and have 2 types of butterfly trapezivert cells. The first three have 5 cell types and lack cubes, and the last six have 6 cell types with cubes.
307. Totdicdica - Tritrigonary dicubatidicubatiapeiratic honeycomb. Cells are trats, grohs, quiths, srohs, and tics.
308. Stut Dacpada - Small tritrigonary dicubatiprismatodiapeiratic honeycomb. Cells are ditathas, quiths, sosts, srohs, and azips.
309. Getit Dacpada - Great tritrigonary dicubatiprismatodiapeiratic honeycomb. Cells are ditathas, grohs, sosts, tics, and azips.
310. Stut Tucda - Small tritrigonary tetriscubatidiapeiratic honeycomb. Cells are cubes, ditathas, grohs, quiths, gossas, and srohs.
311. Stut Caticda - Small tritrigonary cubatitricubatidiapeiratic honeycomb. Cells are cubes, trats, quercoes, quiths, sosts, and srohs.
312. Getit Tucda - Great tritrigonary tetriscubatidiapeiratic honeycomb. Cells are cubes, ditathas, grohs, sossas, srohs, and tics.
313. Getit Caticda - Great tritrigonary cubatitricubatidiapeiratic honeycomb. Cells are cubes, trats, grohs, sosts, sircoes, and tics.
314. Stut Paticda - Small tritrigonary prismatotricubatidiapeiratic honeycomb. Cells are cubes, ditathas, goccoes, sosts, srohs, and azips.
315. Getit Paticda - Great tritrigonary prismatotricubatidiapeiratic honeycomb. Cells are cubes, ditathas, grohs, sosts, soccoes, and azips.
These have only three cell types. The first is very toroidal and contains the three butterfly trapeziverts, the next three use one set of omnitruncate cells and fexats, and the last three use two sets of omnitruncate cells and contain only pseudo-fexats. If you forgot, fexat is the compound of 3 hexagonal tilings in the trat regiment.
316. Totitdoca - Toroidotritrigonary dicubatiapeiratic honeycomb. Cells are grohs, sosts, and srohs.
317. Stutdica - Small tritrigonary dicubatiapeiratic honeycomb. Cells are fexats, grohs, and quitcoes.
318. Titcada - Tritrigonary cubatidiapeiratic honeycomb. Cells are fexats, sosts, and cotcoes.
319. Getitdica - Great tritrigonary dicubatiapeiratic honeycomb. Cells are fexats, srohs, and gircoes.
320. Stutcadoch - Small tritrigonary cubatidicubatic honeycomb. Cells are grohs, gircoes, and cotcoes.
321. Titcach - Tritrigonary cubatiapeiraticubatic honeycomb. Cells are sosts, gircoes, and quitcoes.
322. Getitcadoch - Great tritrigonary cubatidicubatic honeycomb. Cells are srohs, quitcoes, and cotcoes.
These have 5 types of cells, containing fexats and cubes. They're also all orientable.
323. Stut Catoca - Small tritrigonary cubatitricubatiapeiratic honeycomb. Cells are cubes, fexats, quiths, sircoes, and quitcoes.
324. Stut Pacocda - Small tritrigonary prismatocubaticubatidiapeiratic honeycomb. Cells are cubes, fexats, sossas, azips, and quitcoes.
325. Stut Tacoca - Small tritrigonary tricubaticubatiapeiratic honeycomb. Cells are cubes, fexats, quiths, soccoes, and cotcoes.
326. Getit Tacoca - Great tritrigonary tricubaticubatiapeiratic honeycomb. Cells are cubes, fexats, goccoes, tics, and cotcoes.
327. Getit Pacocda - Great tritrigonary prismatocubaticubatidiapeiratic honeycomb. Cells are cubes, fexats, gossas, azips, and gircoes.
328. Getit Catoca - Great tritrigonary cubatitricubatiapeiratic honeycomb. Cells are cubes, fexats, quercoes, tics, and gircoes.
These have 6 types of cells, containing fexats and cubes. They're also all non-orientable.
329. Stut Dacdicda - Small tritrigonary dicubatidicubatidiapeiratic honeycomb. Cells are cubes, fexats, quercoes, sosts, tics, and quitcoes.
330. Stut Dactica - Small tritrigonary dicubatitricubatiapeiratic honeycomb. Cells are cubes, fexats, goccoes, srohs, tics, and quitcoes.
331. Stut Pacdicda - Small tritrigonary prismatocubatidicubatidiapeiratic honeycomb. Cells are cubes, fexats, grohs, gossas, azips, and cotcoes.
332. Getit Pacdicda - Great tritrigonary prismatocubatidicubatidiapeiratic honeycomb. Cells are cubes, fexats, sossas, srohs, azips, and cotcoes.
333. Getit Dactica - Great tritrigonary dicubatitricubatiapeiratic honeycomb. Cells are cubes, fexats, grohs, quiths, soccoes, and gircoes.
334. Getit Dacdicda - Great tritrigonary dicubatidicubatidiapeiratic honeycomb. Cells are cubes, fexats, quiths, sosts, sircoes, and gircoes.
These have 6 types of cells, including fexats, but no cubes.
335. Stut Tacdica - Small tritrigonary tricubatidicubatiapeiratic honeycomb. Cells are fexats, quercoes, quiths, soccoes, tics, and quitcoes.
336. Stut Padcocda - Small tritrigonary prismatodicubaticubatidiapeiratic honeycomb. Cells are fexats, goccoes, gossas, tics, azips, and quitcoes. Previously stut putca.
337. Stut Pacocacda - Small tritrigonary prismatocubaticubaticubatidiapeiratic honeycomb. Cells are fexats, quiths, gossas, sircoes, azips, and cotcoes. Previously stut pactica.
338. Getit Pacocacda - Great tritrigonary prismatocubaticubaticubatidiapeiratic honeycomb. Cells are fexats, quercoes, sossas, tics, azips, and cotcoes. Previously getit pactica.
339. Getit Padcocda - Great tritrigonary prismatodicubaticubatidiapeiratic honeycomb. Cells are fexats, quiths, sossas, soccoes, azips, and gircoes. Previously getit putca.
340. Getit Tacdica - Great tritrigonary tricubatidicubatiapeiratic honeycomb. Cells are fexats, goccoes, quiths, sircoes, tics, and gircoes.
These have 5 types of cells, with cubes but only pseudo-fexats. They must have two omnitruncate cells.
341. Stut Dactoch - Small tritrigonary dicubatitricubatic honeycomb. Cells are cubes, quiths, sircoes, gircoes, and cotcoes.
342. Stut Pacodca - Small tritrigonary prismatocubatidicubatiapeiratic honeycomb. Cells are cubes, sossas, azips, gircoes, and cotcoes. Previously stut tuca.
343. Stut Tacdoch - Small tritrigonary tricubatidicubatic honeycomb. Cells are cubes, quiths, soccoes, gircoes, and quitcoes.
344. Getit Tacdoch - Great tritrigonary tricubatidicubatic honeycomb. Cells are cubes, goccoes, tics, gircoes, and quitcoes.
345. Getit Pacodca - Great tritrigonary prismatocubatidicubatiapeiratic honeycomb. Cells are cubes, gossas, azips, quitcoes, and cotcoes. Previously getit tuca.
346. Getit Dactoch - Great tritrigonary dicubatitricubatic honeycomb. Cells are cubes, quercoes, tics, quitcoes, and cotcoes.
These have 5 cell types, with a trat member but no cubes. They have trat members+pseudo-fexats, which looks very intricate on ditathas.
347. Tatcatica - Tritrigonary cubatitricubatiapeiratic honeycomb. Cells are trats, quiths, tics, gircoes, and quitcoes.
348. Stut Capdoca - Small tritrigonary cubatiprismatodicubatiapeiratic honeycomb. Cells are ditathas, quiths, azips, gircoes, and cotcoes.
349. Getit Capdoca - Great tritrigonary cubatiprismatodicubatiapeiratic honeycomb. Cells are ditathas, tics, azips, quitcoes, and cotcoes.
These have trat members being intercepted by pseudo-fexats, but also either cubes (for the first 6, with 6 cell types) or pseudo-cubes (for the last 3, with 5 cell types).
350. Stut Tucoca - Small tritrigonary tetriscubaticubatiapeiratic honeycomb. Cells are cubes, trats, sircoes, tics, quitcoes, and cotcoes.
351. Stut Cacdicda - Small tritrigonary cubaticubatidicubatidiapeiratic honeycomb. Cells are cubes, ditathas, quiths, gossas, gircoes, and quitcoes.
352. Stut Patuca - Small tritrigonary prismatotetriscubatiapeiratic honeycomb. Cells are cubes, ditathas, goccoes, azips, gircoes, and cotcoes.
353. Getit Tucoca - Great tritrigonary tetriscubaticubatiapeiratic honeycomb. Cells are cubes, trats, quercoes, quiths, gircoes, and cotcoes.
354. Getit Patuca - Great tritrigonary prismatotetriscubatiapeiratic honeycomb. Cells are cubes, ditathas, soccoes, azips, quitcoes, and cotcoes.
355. Getit Cacdicda - Great tritrigonary cubaticubatidicubatidiapeiratic honeycomb. Cells are cubes, ditathas, sossas, tics, gircoes, and quitcoes.
356. Totuca - Tritrigonary tetriscubatiapeiratic honeycomb. Cells are trats, goccoes, soccoes, gircoes, and quitcoes. Previously totactica.
357. Stut Dicacda - Small tritrigonary dicubaticubatidiapeiratic honeycomb. Cells are ditathas, sossas, sircoes, gircoes, and cotcoes.
358. Getit Dicacda - Great tritrigonary dicubaticubatidiapeiratic honeycomb. Cells are ditathas, quercoes, gossas, quitcoes, and cotcoes.
These are the simplest fissaries. They have 4 cell types, where one is a trat member and the other three are one from each trapezivert regiment. They have pseudo-cubes. Oh, and I should mention, every single fissary is non-orientable, and edge-fissary rather than vertex-fissary.
F. Titcocda - Tritrigonary cubaticubatidiapeiratic honeycomb. Cells are trats, goccoes, sosts, and soccoes.
F. Stut Cacoda - Small tritrigonary cubaticubatidiapeiratic honeycomb. Cells are ditathas, quercoes, gossas, and srohs.
F. Getit Cacoda - Great tritrigonary cubaticubatidiapeiratic honeycomb. Cells are ditathas, grohs, sossas, and sircoes.
These fissaries have 5 cell types, where none of them are trat members. They have pseudo-cubes.
F. Stut Padicoch - Small tritrigonary prismatodicubaticubatiapeiratic honeycomb. Cells are goccoes, sossas, srohs, tics, and azips.
F. Getit Padicoch - Great tritrigonary prismatodicubaticubatiapeiratic honeycomb. Cells are grohs, quiths, gossas, soccoes, and azips.
F. Totitcoca - Tritrigonary tricubaticubatiapeiratic honeycomb. Cells are quercoes, quiths, sosts, sircoes, and tics.
These fissaries have 6 cell types, where one is a trat member. These have pseudo-cubes.
F. Stut Padcaca - Small tritrigonary prismatodicubatiapeiraticubatiapeiratic honeycomb. Cells are trats, goccoes, quiths, gossas, srohs, and azips.
F. Getit Padcaca - Great tritrigonary prismatodicubatiapeiraticubatiapeiratic honeycomb. Cells are trats, grohs, sossas, soccoes, tics, and azips.
F. Stut Pacadca - Small tritrigonary prismatocubatiapeiratidicubatiapeiratic honeycomb. Cells are ditathas, goccoes, sosts, sircoes, tics, and azips.
F. Getit Pacadca - Great tritrigonary prismatocubatiapeiratidicubatiapeiratic honeycomb. Cells are ditathas, quercoes, quiths, sosts, soccoes, and azips.
F. Stut Ticacda - Small tritrigonary tricubaticubatidiapeiratic honeycomb. Cells are ditathas, quercoes, quiths, sossas, srohs, and tics.
F. Getit Ticacda - Great tritrigonary tricubaticubatidiapeiratic honeycomb. Cells are ditathas, grohs, quiths, gossas, sircoes, and tics.
These fissaries have 7 cell types, including cubes, a trat member, and tics, quiths, and azips. Only fissaries can have seven cell types. These are also the only fissaries with cubes.
F. Stut Patucda - Small tritrigonary prismatotetriscubatidiapeiratic honeycomb. Cells are cubes, trats, grohs, quiths, gossas, tics, and azips.
F. Getit Patucda - Great tritrigonary prismatotetriscubatidiapeiratic honeycomb. Cells are cubes, trats, quiths, sossas, srohs, tics, and azips.
F. Stut Papeca - Small tritrigonary prismatopentiscubatiapeiratic honeycomb. Cells are cubes, ditathas, goccoes, quiths, srohs, tics, and azips.
F. Getit Papeca - Great tritrigonary prismatopentiscubatiapeiratic honeycomb. Cells are cubes, ditathas, grohs, quiths, soccoes, tics, and azips.
F. Stut Pacticda - Small tritrigonary prismatocubatitricubatidiapeiratic honeycomb. Cells are cubes, ditathas, quercoes, quiths, sosts, tics, and azips.
F. Getit Pacticda - Great tritrigonary prismatocubatitricubatidiapeiratic honeycomb. Cells are cubes, ditathas, quiths, sosts, sircoes, tics, and azips.
These fissaries have 4 cell types, which are fexats, two butterflyverts, and an omnitruncate. They have toroid-y verfs.
F. Stutcaca - Small tritrigonary cubatiapeiraticubatiapeiratic honeycomb. Cells are fexats, grohs, sosts, and gircoes.
F. Getitcaca - Great tritrigonary cubatiapeiraticubatiapeiratic honeycomb. Cells are fexats, sosts, srohs, and quitcoes.
F. Titcaca - Tritrigonary cubatiapeiraticubatiapeiratic honeycomb. Cells are fexats, grohs, srohs, and cotcoes.
These fissaries have 6 cell types, including fexats. They have pseudo-cubes.
F. Stut Pacocaca - Small tritrigonary prismatocubaticubatiapeiraticubatiapeiratic honeycomb. Cells are fexats, goccoes, sossas, tics, azips, and gircoes.
F. Getit Pacocaca - Great tritrigonary prismatocubaticubatiapeiraticubatiapeiratic honeycomb. Cells are fexats, quiths, gossas, soccoes, azips, and quitcoes.
F. Totpeca - Tritrigonary pentiscubatiapeiratic honeycomb. Cells are fexats, quercoes, quiths, sircoes, tics, and cotcoes.
These fissaries have 5 cell types, including a trat member, two trapeziverts, and two omnitruncates. The trat members are intercepted by pseudo-hexats. Thanks for asking, yes, they have pseudo-cubes.
F. Stut Tuca - Small tritrigonary tetriscubatiapeiratic honeycomb. Cells are trats, goccoes, sircoes, gircoes, and cotcoes.
F. Getit Tuca - Great tritrigonary tetriscubatiapeiratic honeycomb. Cells are trats, quercoes, soccoes, quitcoes, and cotcoes.
F. Stut Cadcoda - Small tritrigonary cubatidicubatidiapeiratic honeycomb. Cells are ditathas, goccoes, gossas, quitcoes, and gircoes.
F. Getit Cadcoda - Great tritrigonary cubatidicubatidiapeiratic honeycomb. Cells are ditathas, sossas, soccoes, gircoes, and quitcoes.
F. Stut Cocacda - Small tritrigonary cubaticubaticubatidiapeiratic honeycomb. Cells are ditathas, quercoes, sossas, gircoes, and cotcoes.
F. Getit Cocacda - Great tritrigonary cubaticubaticubatidiapeiratic honeycomb. Cells are ditathas, gossas, sircoes, 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.
Category 9 --- Back to Honeycombs Home --- Category 11
Site by Benjamin Klein, based on the work of Eric Binnendyk
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Images by creeperman7002 using POV-Ray. Each stut cadoca member verf he rendered increased the percent of people he's cooler than by 2%.