This category consists of the honeycombs whose vertex figures are skew wedges and their facetings. This is basically like the sphenoverts but slightly more excessive. In fact, the srich and wavicoca regiments get to make a surprise appearance here, as they have wythoffian subsymmetry where they act like a skewvert for bonus members. Wavicac is weird, don't worry about him.
These are members of the srich regiment that only exist under symmetry as x4o3x *b3x, aka octettic symmetry, which makes it a skewvert. This unlocks a few new regiment members. Their names have all been changed.
242. Skivcatdich - Small skewverted cubatitetradicubatic honeycomb. Cells are sircoes, soccoes, ohoes, and gircoes. Symbol is x3x3/2o4/3x4*a3*c. Previously skivdacdich.
243. Skivpatdich - Small skewverted prismatotetradicubatic honeycomb. Cells are srohs, choes, cubes, and gircoes. Previously skivticach.
244. Skivtedca - Small skewverted tetradicubatiapeiratic honeycomb. Cells are srohs, choes, tosquats, and gircoes. Previously skivtica.
245. Skivpatetica - Small skewverted prismatotetratricubatiapeiratic honeycomb. Cells are soccoes, sircoes, ohoes, cubes, tosquats, and gircoes. Previously skiv dactica.
Wavicoca, being the conjugate regiment to srich, has an identical secret cache of members under octettic subsymmetry as a skewvert. Also spiky, as wavicocas are. These names have all been changed as well.
246. Gikkivcatdich - Great skewverted cubatitetradicubatic honeycomb. Cells are quercoes, goccoes, ohoes, and quitcoes. Symbol is x3x3/2o4x4/3*a3*c. Previously gikkivdacdich.
247. Gikkivtedca - Great skewverted tetradicubatiapeiratic honeycomb. Cells are grohs, choes, quitsquats, and quitcoes. Previously gikkivtica.
248. Gikkivpatdich - Great skewverted prismatotetradicubatic honeycomb. Cells are grohs, choes, cubes, and quitcoes. Previously gikvaticach.
249. Gikkiv Patetica - Great skewverted prismatotetratricubatiapeiratic honeycomb. Cells are quercoes, goccoes, ohoes, cubes, quitsquats, and quitcoes. Previously gikkiv dactica.
This regiment has chonnic symmetry, and is a pure skewvert, no subsymmetry shenanigans. It can actually be found within gacoca, and the gacoca subsymmetrics involve blending these guys into gacoca.
250. Skivpacoca - Small skewverted prismatocubaticubatiapeiratic honeycomb. Cells are goccoes, sircoes, squats, and stops. Symbol is x4o3x4/3x4*b.
251. Kavidacda - Skewverted dicubatidiapeiratic honeycomb. Cells are goccoes, soccoes, shas, and satsas. Symbol is x4x4/3o4x4/3*a3*c *b∞*d.
252. Gikkivpacoca - Great skewverted prismatocubaticubatiapeiratic honeycomb. Cells are quercoes, soccoes, squats, and ops. Symbol is x4/3o3x4x4/3*b.
253. Kevpadoca - Skewverted prismatodicubatiapeiratic honeycomb. Cells are quercoes, sircoes, shas, and azips. Symbol is x3o4x∞x4/3*b.
254. Skivpacda - Small skewverted prismatocubatidiapeiratic honeycomb. Cells are srohs, shas, satsas, and stops.
255. Kavadipdich - Skewverted disprismatodicubatic honeycomb. Cells are grohs, srohs, stops, and ops.
256. Skivdapoca - Small skewverted disprismatocubatiapeiratic honeycomb. Cells are grohs, shas, azips, and stops.
257. Kivtipa - Skewverted trisprismatoapeiratic honeycomb. Cells are satsas, stops, ops, and azips.
258. Gikkivdapoca - Great skewverted disprismatocubatiapeiratic honeycomb. Cells are srohs, shas, azips, and ops.
259. Kevpacoca - Skewverted prismatocubaticubatiapeiratic honeycomb. Cells are grohs, srohs, satsas, and azips.
260. Gikkivpacda - Great skewverted prismatocubatidiapeiratic honeycomb. Cells are grohs, shas, satsas, and ops.
261. Skiv Dapdocda - Small skewverted disprismatodicubatidiapeiratic honeycomb. Cells are goccoes, sircoes, squats, satsas, azips, and ops.
262. Kevtipdoca - Skewverted trisprismatodicubatiapeiratic honeycomb. Cells are goccoes, soccoes, shas, azips, stops, and ops.
263. Gikkiv Dapdocda - Great skewverted disprismatodicubatidiapeiratic honeycomb. Cells are quercoes, soccoes, squats, satsas, azips, and stops.
264. Kivdapdocda - Skewverted disprismatodicubatidiapeiratic honeycomb. Cells are quercoes, sircoes, shas, satsas, stops, and ops.
This regiment has octettic symmetry, and is also a pure skewvert. These things don't seem very intimidating, but they form the backbone of the most impressive blends in honeycomb history, being the main blend component into sabdiptica, and thus the sabdiptica superregimentals as well. So keep an eye on these 15, because they will be up to serious mischief in the future. Some of these had incorrect cells previously, and this has resulted in some mild name switching. I hope you don't mind.
265. Skivcadach - Small skewverted cubatiapeiratidicubatic honeycomb. Cells are goccoes, sircoes, thats, and quitcoes. Symbol is x3x3o4x4/3*a3*c.
266. Kevcaca - Skewverted cubatiapeiraticubatiapeiratic honeycomb. Cells are goccoes, soccoes, thas, and satsas. Symbol is x4/3x4x3/2o3*a∞*c *b4*d.
267. Gikkivcadach - Great skewverted cubatiapeiratidicubatic honeycomb. Cells are quercoes, soccoes, thats, and gircoes. Symbol is o3x3x4x4/3*a3*c.
268. Kivpocach - Skewverted prismatocubatiapeiraticubatic honeycomb. Cells are quercoes, sircoes, thas, and azips. Symbol is x4o3x∞x3/2*b.
269. Skivpadoch - Small skewverted prismatoapeiratidicubatic honeycomb. Cells are grohs, hohas, quitcoes, and azips.
270. Kevdacdich - Skewverted dicubatidicubatic honeycomb. Cells are grohs, srohs, quitcoes, and gircoes.
271. Skivdadoch - Small skewverted diapeiratidicubatic honeycomb. Cells are srohs, hohas, satsas, and quitcoes.
272. Kevpacoch - Skewverted prismatoapeiraticubaticubatic honeycomb. Cells are satsas, quitcoes, gircoes, and azips.
273. Gikkivdadoch - Great skewverted diapeiratidicubatic honeycomb. Cells are grohs, hohas, satsas, and gircoes.
274. Kavipadich - Skewverted prismatoapeiratidicubatic honeycomb. Cells are grohs, srohs, satsas, and azips. Previously kaviptich.
275. Gikkivpadoch - Great skewverted prismatoapeiratidicubatic honeycomb. Cells are srohs, hohas, gircoes, and azips.
276. Skiv Pidacdoch - Small skewverted prismatodiapeiraticubatidicubatic honeycomb. Cells are goccoes, sircoes, thats, gircoes, azips, and satsas.
277. Kevpadicdoca - Skewverted prismatodicubatidicubatiapeiratic honeycomb. Cells are goccoes, soccoes, thas, quitcoes, gircoes, and azips.
278. Gikkiv Pidacdoch - Great skewverted prismatodiapeiraticubatidicubatic honeycomb. Cells are quercoes, soccoes, thats, quitcoes, azips, and satsas.
279. Kevdacdicda - Skewverted dicubatidicubatidiapeiratic honeycomb. Cells are quercoes, sircoes, thas, quitcoes, gircoes, and satsas.
The following honeycombs are self conjugate: kavidacda, kevpadoca, kavadipdich, kivtipa, kevpacoca, kevtipdoca, kivdapdocda, kevcaca, kivpocach, kevdacdich, kevpacoch, kavipadich, kevpadicdoca, kevdacdicda.
The following form conjugate pairs: skivcatdich-gikkivcatdich, skivpatdich-gikkivpatdich, skivtedca-gikkivtedca, skivpatetica-gikkiv patetica, skivpacoca-gikkivpacoca, skivpacda-gikkivpacda, skivdapoca-gikkivdapoca, skivdapdoca-gikkivdapdoca, skivcadach-gikkivcadach, skivpadoch-gikkivpadoch, skivdadoch-gikkivdadoch, skiv pidacdoch-gikkiv pidacdoch.
Category 8 --- Back to Honeycombs Home --- Category 10
Site by Benjamin Klein, based on the work of Eric Binnendyk
contact me via emailbenklein at gmail dot com or on the Polytope Discord
Images by creeperman7002 using POV-Ray. Any complaints claiming he is not someone to be idolized will be immediately incinerated, and our investigative branch will look into punishing those involved in creating such complaints.