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Great apeirated codytized order-∞ apeirogonal tiling

Great apeirated codytized order-∞ apeirogonal tiling

The great apeirated codytized order-∞ apeirogonal tiling (gapcodazazat) is an uncompact hyperbolic apeirocomb. It is the omnitruncation of the codytized order-∞ apeirogonal tiling.

Elements

Edges (1)

𝕬1 Dyad x

Faces (2)

Aprismatic (1)

𝕭1 Hexagon x3x

Diprismatic (1)

Square x x

Cells (3)

Aprismatic (1)

𝕮1 Truncated octahedron x3x3x

Diprismatic (1)

Hexagonal prism x x3x

Triprismatic (1)

Cube x3x3x

Tera (6)

Aprismatic (2)

𝕯1 Great prismatodecachoron x3x3x3x

𝕯2 Truncated icositetrachoron x3x3x *b3x

Diprismatic (2)

Truncated octahedral prism x x3x3x

Hexagonal duoprism x3x x3x

Triprismatic (1)

Square-hexagonal duoprism x x x3x

Tetraprismatic (1)

Tesseract x x x x

Peta (10)

Aprismatic (3)

𝕰1 Great cellidodecateron x3x3x3x3x

𝕰2 Great prismated triacontaditeron x3x3x3x *b3x

𝕰3 Truncated icositetrachoric tetracomb x3x3x *b3x *b3x

Diprismatic (3)

Great prismatodecachoric prism x x3x3x3x

Truncated icositetrachoric prism x x3x3x *b3x

Hexagonal-truncated octahedral duoprism x3x x3x3x

Triprismatic (2)

Square-truncated octahedral duoprism x x x3x3x

Hexagonal duoprismatic prism x x3x x3x

Tetraprismatic (1)

Hexagonal-cubic duoprism x x x x3x

Pentaprismatic (1)

Penteract x x x x x

Exa (20)

Aprismatic (6)

𝕱1 Great teritetradecapeton x3x3x3x3x3x

𝕱2 Great cellated hexacontatetrapeton x3x3x3x3x *b3x

𝕱3 Great prismated pentacontatetrapeton x3x3x3x3x *c3x

𝕱4 Great prismated triacontaditeric pentacomb x3x3x3x *b3x *b3x

𝕱4 Great prismated demipenteractic pentacomb x3x3x3x *b3x *c3x

𝕱6 Truncated icositetrachoric tetracomb pentacomb x3x3x *b3x *b3x *b3x

Diprismatic (6)

• Great cellidodecateric prism x x3x3x3x3x

• Great prismated triacontaditeric prism x x3x3x3x *b3x

▪ Truncated icositetrachoric tetracomb prism x x3x3x *b3x *b3x

• Hexagonal-great prismatodecachoric duoprism x3x x3x3x3x

• Hexagonal-truncated icositetrachoric duoprism x3x x3x3x *b3x

Truncated octahedral duoprism x3x3x x3x3x

Triprismatic (4)

• Square-great prismatodecachoric duoprism x x x3x3x3x

• Square-truncated icositetrachoric duoprism x x x3x3x *b3x

• Hexagonal-truncated octahedral duoprismatic prism x x3x x3x3x

Hexagonal trioprism x3x x3x x3x

Tetraprismatic (2)

• Cubic-truncated octahedral duoprism x x x x3x3x

• Square-hexagonal-hexagonal trioprism x x x3x x3x

Pentaprismatic (1)

• Hexagonal-tesseractic duoprism x x x x x3x

Hexaprismatic (1)

Hexeract x x x x x x

Zetta (37)

Aprismatic (11)

𝕲1 Great petihexadecaexon x3x3x3x3x3x3x

𝕲2 Great terated hecatonicosoctaexon x3x3x3x3x3x *b3x

𝕲3 Great terated hecatonicosihexapentacosiheptacontahexaexon x3x3x3x3x3x *c3x

𝕲4 Great terated hexacontatetrapetic hexacomb x3x3x3x3x *b3x *b3x

𝕲5 x3x3x3x3x *b3x *c3x

𝕲6 x3x3x3x3x *b3x *d3x

𝕲7 x3x3x3x3x *c3x *c3x

𝕲8 Great cellated icosiheptaheptacontadipetic hexacomb x3x3x3x3x *c3x3x

𝕲9 x3x3x3x *b3x *b3x *b3x

𝕲10 x3x3x3x *b3x *b3x *c3x

𝕲11 Truncated icositetrachoric tetracomb pentacomb hexacomb x3x3x *b3x *b3x *b3x *b3x

Diprismatic (11)

Great teritetradecapetic prism x x3x3x3x3x3x

Great cellated hexacontatetrapetic prism x x3x3x3x3x *b3x

Great prismated pentacontatetrapetic prism x x3x3x3x3x *c3x

▫ Great prismated triacontaditeric pentacomb prism x x3x3x3x *b3x *b3x

▪ Great prismated demipenteractic pentacomb prism x x3x3x3x *b3x *c3x

▫ Truncated icositetrachoric tetracomb pentacomb prism x x3x3x *b3x *b3x *b3x

• Hexagonal-great cellidodecateric duoprism x3x x3x3x3x3x

• Hexagonal-great prismated triacontaditeric duoprism x3x x3x3x3x *b3x

▪ Hexagonal-truncated icositetrachoric tetracomb duoprism x3x x3x3x *b3x *b3x

Truncated octahedral-great prismatodecachoric prism x3x3x x3x3x3x

Truncated octahedral-truncated icositetrachoric duoprism x3x3x x3x3x *b3x

Triprismatic (7)

• Square-great cellidodecateric duoprism x x x3x3x3x3x

• Square-great prismated triacontaditeric duoprism x x x3x3x3x *b3x

▪ Square-truncated icositetrachoric tetracomb duoprism x x x3x3x *b3x *b3x

• Hexagonal-great prismatodecachoric duoprismatic prism x x3x x3x3x3x

• Hexagonal-truncated icositetrachoric duoprismatic prism x x3x x3x3x *b3x

Truncated octahedral duoprismatic prism x x3x3x x3x3x

Hexagonal-hexagonal-truncated octahedral trioprism x3x x3x x3x3x

Tetraprismatic (4)

• Cubic-great prismatodecachoric duoprism x x x x3x3x3x

• Cubic-truncated icositetrachoric duoprism x x x x3x3x *b3x

• Square-hexagonal-truncated octahedral duoprism x x x3x x3x3x

Hexagonal trioprismatic prism x x3x x3x x3x

Pentaprismatic (2)

• Truncated octahedral-tesseractic duoprism x x x x x3x3x

• Hexagonal-hexagonal-cubic trioprism x x x x3x x3x

Hexaprismatic (1)

• Hexagonal-penteractic duoprism x x x x x x3x

Heptaprismatic (1)

Hepteract x x x x x x x

Yotta (70)

Aprismatic (23)

𝕳1 Great exioctadecazetton x3x3x3x3x3x3x3x

𝕳2 Great petated diacosipentacontahexazetton x3x3x3x3x3x3x *b3x

𝕳3 Great petated dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton x3x3x3x3x3x3x *c3x

𝕳4 Great cellated pentacontahexahecatonicosihexaexic heptacomb x3x3x3x3x3x3x *d3x

𝕳5 Great petated hecatonicosoctaexic heptacomb x3x3x3x3x3x *b3x *b3x

𝕳6 x3x3x3x3x3x *b3x *c3x

𝕳7 x3x3x3x3x3x *b3x *d3x

𝕳8 x3x3x3x3x3x *b3x *e3x

𝕳9 x3x3x3x3x3x *c3x *c3x

𝕳10 x3x3x3x3x3x *c3x *d3x

𝕳11 x3x3x3x3x3x *c3x3x

𝕳12 x3x3x3x3x *b3x *b3x *b3x

𝕳13 x3x3x3x3x *b3x *b3x *c3x

𝕳14 x3x3x3x3x *b3x *b3x *d3x

𝕳15 x3x3x3x3x *b3x *c3x *c3x

𝕳16 x3x3x3x3x *b3x *c3x *d3x

𝕳17 x3x3x3x3x *b3x *c3x3x

𝕳18 x3x3x3x3x *c3x *c3x *c3x

𝕳19 x3x3x3x3x *c3x *c3x3x

𝕳20 x3x3x3x *b3x *b3x *b3x *b3x

𝕳21 x3x3x3x *b3x *b3x *b3x *c3x

𝕳22 x3x3x3x *b3x *b3x *c3x *c3x

𝕳23 Truncated icositetrachoric tetracomb pentacomb hexacomb heptacomb x3x3x *b3x *b3x *b3x *b3x *b3x

Diprismatic (20)

Great petihexadecaexic prism x x3x3x3x3x3x3x

• Great terated hecatonicosoctaexic prism x x3x3x3x3x3x *b3x

⁘ Great terated hecatonicosihexapentacosiheptacontahexaexic prism

⁘ Great terated hexacontatetrapetic hexacomb prism x xx3x3x3x3x *b3x *b3x

⁘ 𝕳5 prism x x3x3x3x3x *b3x *c3x

⁘ 𝕳6 prism x x3x3x3x3x *b3x *d3x

⁘ 𝕳7 prism x x3x3x3x3x *c3x *c3x

▪ Great cellated icosiheptaheptacontadipetic hexacomb prism x x3x3x3x3x *c3x3x

⁘ 𝕳8 prism x x3x3x3x *b3x *b3x *b3x

⁘ 𝕳9 prism x x3x3x3x *b3x *b3x *c3x

⁘ Truncated icositetrachoric tetracomb pentacomb hexacomb prism x x3x3x *b3x *b3x *b3x *b3x

Hexagonal-great teritetradecapetic duoprism x3x x3x3x3x3x3x

Hexagonal-great cellated hexacontatetrapetic duoprism x3x x3x3x3x3x *b3x

Hexagonal-great prismated pentacontatetrapetic duoprism x3x x3x3x3x3x *c3x

▫ Hexagonal-great prismated triacontaditeric pentacomb duoprism x3x x3x3x3x *b3x *b3x

▪ Hexagonal-great prismated demipenteractic pentacomb duoprism x3x x3x3x3x *b3x *c3x

▫ Hexagonal-truncated icositetrachoric tetracomb pentacomb duoprism x3x x3x3x *b3x *b3x *b3x

Great prismatodecachoric duoprism x3x3x3x x3x3x3x

Truncated icositetrachoric-great prismatodecachoric duoprism x3x3x3x x3x3x *b3x

Truncated icositetrachoric duoprism x3x3x *b3x x3x3x *b3x

Triprismatic (11)

Square-great teritetradecapetic duoprism x x x3x3x3x3x3x

Square-great cellated hexacontatetrapetic duoprism x x x3x3x3x3x *b3x

Square-great prismated pentacontatetrapetic duoprism x x x3x3x3x3x *c3x

▫ Square-great prismated triacontaditeric pentacomb duoprism x x x3x3x3x *b3x *b3x

▪ Square-great prismated demipenteractic pentacomb duoprism x x x3x3x3x *b3x *c3x

▫ Square-truncated icositetrachoric tetracomb pentacomb duoprism x x x3x3x *b3x *b3x *b3x

• Hexagonal-great cellidodecateric duoprismatic prism x x3x x3x3x3x3x

• Hexagonal-great prismated triacontaditeric duoprismatic prism x x3x x3x3x3x *b3x

▪ Hexagonal-truncated icositetrachoric tetracomb duoprismatic prism x x3x x3x3x *b3x *b3x

Truncated octahedral-great prismatodecachoric duoprismatic prism x x3x3x x3x3x3x

Truncated octahedral-truncated icositetrachoric duoprismatic prism x x3x3x x3x3x *b3x

Tetraprismatic (8)

• Cubic-great cellidodecateric duoprism x x x x3x3x3x3x

• Cubic-great prismated triacontaditeric duoprism x x x x3x3x3x *b3x

▪ Cubic-truncated icositetrachoric tetracomb duoprism x x x x3x3x *b3x *b3x

• Square-hexagonal-great prismatodecachoric duoprism x x x3x x3x3x3x

• Square-hexagonal-truncated icositetrachoric duoprism x x x3x x3x3x *b3x

Square-truncated octahedral-truncated octahedral duoprism x x x3x3x x3x3x

Hexagonal-hexagonal-truncated octahedral trioprismatic prism x x3x x3x x3x3x

Hexagonal quadroprism x3x x3x x3x x3x

Pentaprismatic (4)

• Tesseractic-great prismatodecachoric duoprism x x x x x3x3x3x

• Tesseractic-truncated icositetrachoric duoprism x x x x x3x3x *b3x

• Hexagonal-cubic-truncated octahedral duoprism x x x x3x x3x3x

Square-hexagonal-hexagonal-hexagonal quadroprism x x x3x x3x x3x

Hexaprismatic (2)

• Truncated octahedral-penteractic duoprism x x x x x x3x3x

• Hexagonal-hexagonal-tesseractic trioprism x x x x x3x x3x

Heptaprismatic (1)

• Hexagonal-hexeractic duoprism x x x x x x3x

Octaprismatic (1)

Octeract x x x x x x x x