User:Double sharp/List of convex uniform tilings, honeycombs, and tetracombs
Information from Uniform Panoploid Honeycombs by George Olshevsky and Euclidean Tesselations [sic] by Richard Klitzing.
1D (1)[edit]
- Apeirogon - aze
2D (11)[edit]
- Square tiling - squat
- Triangular tiling - trat
- Hexagonal tiling - hexat
- Elongated triangular tiling - etrat
- Trihexagonal tiling - that
- Truncated square tiling - tosquat
- Truncated hexagonal tiling - toxat
- Rhombitrihexagonal tiling - rothat
- Omnitruncated trihexagonal tiling - othat
- Snub square tiling - snasquat
- Snub hexagonal tiling (snub trihexagonal tiling) - snathat
3D (28?)[edit]
- Cubic honeycomb - chon
- Triangular prismatic honeycomb - tiph
- Hexagonal prismatic honeycomb - hiph
- Elongated triangular prismatic honeycomb - etoph
- Trihexagonal prismatic honeycomb - thiph
- Truncated square prismatic honeycomb - tassiph
- Truncated hexagonal prismatic honeycomb - thaph
- Rhombitrihexagonal prismatic honeycomb - rothaph
- Omnitruncated trihexagonal prismatic honeycomb - otathaph
- Snub square prismatic honeycomb - sassiph
- Snub trihexagonal prismatic honeycomb - snathaph
- Gyrated triangular prismatic honeycomb - gytoph
- Gyrated elongated triangular prismatic honeycomb - gyetaph
- Truncated cubic honeycomb - tich
- Rectified cubic honeycomb - rich
- Bitruncated cubic honeycomb - batch
- Cantellated cubic honeycomb - srich
- Cantitruncated cubic honeycomb - grich
- Runcitruncated cubic honeycomb - prich
- Omnitruncated cubic honeycomb - otch
- Alternated cubic honeycomb - octet
- Gyrated alternated cubic honeycomb - gytoh
- Elongated alternated cubic honeycomb - etoh
- Gyrated elongated alternated cubic honeycomb - gyetoh
- Truncated alternated cubic honeycomb - tatoh
- Runcinated alternated cubic honeycomb - ratoh
- Quarter cubic honeycomb - batatoh
- Runcicantic cubic honeycomb - gratoh
4D (143?)[edit]
(9 honeycomb articles exist: Category:5-polytopes)
- Tesseractic tetracomb - test
- Triangular-square duoprismatic tetracomb - tisbat
- Square-hexagonal duoprismatic tetracomb - shibbit
- Elongated triangular-square duoprismatic tetracomb - etsobit
- Trihexagonal-square duoprismatic tetracomb - thisbit
- Tomosquare-square duoprismatic tetracomb - tososbit
- Tomohexagonal-square duoprismatic tetracomb - thosbit
- Rhombitrihexagonal-square duoprismatic tetracomb - rithsibbit
- Omnitruncated-trihexagonal-square duoprismatic tetracomb - otathisbit
- Simosquare-square duoprismatic tetracomb - sisobit
- Simotrihexagonal-square duoprismatic tetracomb - sithsobit
- Gyrated triangular-square duoprismatic tetracomb - gytosbit
- Elongated gyrated triangular-square duoprismatic tetracomb - egytsobit
- Truncated-cubic prismatic tetracomb - ticpit
- Rectified-cubic prismatic tetracomb - ricpit
- Bitruncated-cubic prismatic tetracomb - bitticpit
- Cantellated-cubic prismatic tetracomb - cacpit
- Cantitruncated-cubic prismatic tetracomb - catcupit
- Runcitruncated-cubic prismatic tetracomb - rutcupit
- Omnitruncated-cubic prismatic tetracomb - otacpit
- Alternated-cubic prismatic tetracomb - acpit
- Gyrated-alternated-cubic prismatic tetracomb - gyacpit
- Elongated-alternated-cubic prismatic tetracomb - eacpit
- Gyrated-elongated-alternated-cubic prismatic tetracomb - gyeacpit
- Truncated-alternated-cubic prismatic tetracomb - tacpit
- Runcinated-alternated-cubic prismatic tetracomb - racpit
- Quarter-cubic prismatic tetracomb - quacpit
- Runcicantic-cubic prismatic tetracomb - rucacpit
- Triangular duoprismatic tetracomb - tribbit
- Triangular-hexagonal duoprismatic tetracomb - thibbit
- Elongated triangular duoprismatic tetracomb - etbit
- Triangular-trihexagonal duoprismatic tetracomb - tathibbit
- Triangular-tomosquare duoprismatic tetracomb - tatosbit
- Triangular-tomohexagonal duoprismatic tetracomb - tathobit
- Triangular-rhombitrihexagonal duoprismatic tetracomb - trithit
- Triangular-omnitruncated-trihexagonal duoprismatic tetracomb - totuthit
- Triangular-simosquare duoprismatic tetracomb - tasist
- Triangular-simotrihexagonal duoprismatic tetracomb - tisthit
- Hexagonal duoprismatic tetracomb - hibbit
- Elongated triangular-hexagonal duoprismatic tetracomb - ethibit
- Hexagonal-trihexagonal duoprismatic tetracomb - hithibbit
- Hexagonal-tomosquare duoprismatic tetracomb - hitosbit
- Hexagonal-tomohexagonal duoprismatic tetracomb - hithobit
- Hexagonal-rhombitrihexagonal duoprismatic tetracomb - harhibit
- Hexagonal-omnitruncated-trihexagonal duoprismatic tetracomb - hot thibbit
- Hexagonal-simosquare duoprismatic tetracomb - hisosbit
- Hexagonal-simotrihexagonal duoprismatic tetracomb - hasithbit
- Bielongated triangular duoprismatic tetracomb - betobit
- Elongated triangular-trihexagonal duoprismatic tetracomb - etothbit
- Elongated triangular-tomosquare duoprismatic tetracomb - etatosbit
- Elongated triangular-tomohexagonal duoprismatic tetracomb - etathobit
- Elongated triangular-rhombitrihexagonal duoprismatic tetracomb - etrithit
- Elongated triangular-omnitruncated-trihexagonal duoprismatic tetracomb - etotithat
- Elongated triangular-simosquare duoprismatic tetracomb - etasist
- Elongated triangular-simotrihexagonal duoprismatic tetracomb - etasithit
- Trihexagonal duoprismatic tetracomb - thabbit
- Trihexagonal-tomosquare duoprismatic tetracomb - thatosbit
- Trihexagonal-tomohexagonal duoprismatic tetracomb - thathobit
- Trihexagonal-rhombitrihexagonal duoprismatic tetracomb - thrathibbit
- Trihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb - thot thibbit
- Trihexagonal-simosquare duoprismatic tetracomb - thisosbit
- Trihexagonal-simohexagonal duoprismatic tetracomb - thisthibbit
- Tomosquare duoprismatic tetracomb - tosbit
- Tomosquare-tomohexagonal duoprismatic tetracomb - tosthobit
- Tomosquare-rhombitrihexagonal duoprismatic tetracomb - tosrithbit
- Tomosquare-omnitruncated-trihexagonal duoprismatic tetracomb - tosot thibbit
- Tomosquare-simosquare duoprismatic tetracomb - tosisasbit
- Tomosquare-simotrihexagonal duoprismatic tetracomb - tosasithbit
- Tomohexagonal duoprismatic tetracomb - thobit
- Tomohexagonal-rhombitrihexagonal duoprismatic tetracomb - thorahbit
- Tomohexagonal-omnitruncated-trihexagonal duoprismatic tetracomb - thoot thibbit
- Tomohexagonal-simosquare duoprismatic tetracomb - thosisbit
- Tomohexagonal-simotrihexagonal duoprismatic tetracomb - thosithbit
- Rhombitrihexagonal duoprismatic tetracomb - rithbit
- Rhombitrihexagonal-omnitruncated-trihexagonal duoprismatic tetracomb - rathotathibit
- Rhombitrihexagonal-simosquare duoprismatic tetracomb - rithsisbit
- Rhombitrihexagonal-simotrihexagonal duoprismatic tetracomb - rithsithbit
- Omnitruncated-trihexagonal duoprismatic tetracomb - otathibbit
- Omnitruncated-simosquare duoprismatic tetracomb - otsisbit
- Omnitruncated-simotrihexagonal duoprismatic tetracomb - otsithbit
- Simosquare duoprismatic tetracomb - sisbit
- Simosquare-simotrihexagonal duoprismatic tetracomb - sissithbit
- Simotrihexagonal duoprismatic tetracomb - sithbit
- Bigyrated triangular-square duoprismatic tetracomb - bigytsbit
- Elongated bigyrated triangular-square duoprismatic tetracomb - ebiytsbit
- Prismatoelongated gyrated triangular-square duoprismatic tetracomb - pegytsbit
- Rectified tesseractic tetracomb - rittit
- Icositetrachoric tetracomb - icot
- Truncated tesseractic tetracomb - tattit
- Small rhombitesseractic tetracomb - srittit
- Small prismatotesseractic tetracomb - sidpitit
- Bitruncated tesseractic tetracomb - batitit
- Rectified icositetrachoric tetracomb - ricot
- Great rhombitesseractic tetracomb - grittit
- Prismatotruncated tesseractic tetracomb - potatit
- Celliprismated tesseractic tetracomb - capotat
- Prismatorhombated tesseractic tetracomb - prittit
- Small cellirhombated tesseractic tetracomb - scartit
- Truncated icositetrachoric tetracomb - ticot
- Great prismatotesseractic tetracomb - gippittit
- Great cellirhombated tesseractic tetracomb - gicartit
- Celliprismatotruncated tesseractic tetracomb - captatit
- Omnitruncated tesseractic tetracomb - otathit
- Hexadecachoric tetracomb - hext
- Truncated hexadecachoric tetracomb - thext
- Birectified icositetrachoric tetracomb - bricot
- Bitruncated demitesseractic tetracomb - bithit
- Small prismatodemitesseractic tetracomb - siphatit
- Prismatotruncated demitesseractic tetracomb - pithatit
- Prismatorhombated demitesseractic tetracomb - pirhatit
- Great prismated demitesseractic tetracomb - giphatit
- Small rhombated icositetrachoric tetracomb - sricot
- Bitruncated icositetrachoric tetracomb - baticot
- Great rhombated icositetrachoric tetracomb - gricot
- Small prismated icositetrachoric tetracomb - spict
- Small birhombated icositetrachoric tetracomb - sibricot
- Prismatotruncated icositetrachoric tetracomb - paticot
- Prismatorhombated icositetrachoric tetracomb - pricot
- Great birhombated icositetrachoric tetracomb - gibricot
- Great prismated icositetrachoric tetracomb - gippict
- Small cellated icositetrachoric tetracomb - scicot
- Small prismated demitesseractic tetracomb - spaht
- Celliprismated demitesseractic tetracomb - capoht
- Small cellirhombated icositetrachoric tetracomb - scaricot
- Prismatorhombated demitesseractic tetracomb - praht
- Great cellirhombated demitesseractic tetracomb - gicaroht
- Celliprismated icositetrachoric tetracomb - capicot
- Prismatotruncated demitesseractic tetracomb - pataht
- Celliprismatotruncated icositetrachoric tetracomb - capticot
- Great cellirhombated icositetrachoric tetracomb - gicaricot
- Great prismated demitesseractic tetracomb - gipaht
- Omnitruncated icositetrachoric tetracomb - otit
- Snub icositetrachoric tetracomb - sadit
- Cyclopentachoric tetracomb - cypit
- Cyclotruncated pentachoric tetracomb - cytopit
- Small cyclorhombated pentachoric tetracomb - scyropot
- Great cyclorhombated pentachoric tetracomb - gocyropit
- Cycloprismatorhombated pentachoric tetracomb - cypropit
- Great cycloprismated pentachoric tetracomb - gocypapit
- Omnitruncated cyclopentachoric tetracomb - otcypit
- Elongated cyclopentachoric tetracomb - ecypit
- Schmoozed cyclopentachoric tetracomb - zucypit
- Elongated schmoozed cyclopentachoric tetracomb - ezucypit
5D (???, 600-700???)[edit]
- Penteractic pentacomb - penth
- Rectified penteractic pentacomb - rinoh
- Birectified penteractic pentacomb - brinoh
- Hemipenteractic pentacomb - hinoh
- Cyclohexateric pentacomb - cyxh
- ...