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Great apeirated codytized square tiling

Great apeirated codytized square tiling

The great apeirated codytized square tiling (gapcodsquat) is an uncompact hyperbolic apeirocomb. It is the omnitruncation of the codytized square tiling.

Note: the 𝕱 polytopes are my naming. As far as I know, they do not have an official name besides their CD diagram.

Elements

Edges (1)

• Dyad x

Faces (2)

Aprismatic (1)

• Hexagon x3x

Diprismatic (1)

• Square x x

Cells (3)

Aprismatic (1)

• Truncated octahedron x3x3x

Diprismatic (1)

• Hexagonal prism x x3x

Triprismatic (1)

• Cube x x x

Tera (7)

Aprismatic (3)

• Great prismatodecachoron x3x3x3x

• Truncated icositetrachoron x3x3x *b3x

▪ Bitruncated cubic honeycomb x3x3x3x3*a

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 (12)

Aprismatic (4)

• Great cellidodecateron x3x3x3x3x

• Great prismated triacontaditeron x3x3x3x *b3x

▪ Truncated icositetrachoric tetracomb x3x3x *b3x *b3x

▫ 𝕱 x3x3x3x3x3*b

Diprismatic (4)

• Great prismatodecachoric prism x x3x3x3x

• Truncated icositetrachoric prism x x3x3x *b3x

▪ Bitruncated cubic honeycomb prism x x3x3x3x3*a

• 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 (27)

Aprismatic (10)

• Great teritetradecapeton x3x3x3x3x3x

• Great cellated hexacontatetrapeton x3x3x3x3x *b3x

• Great prismated pentacontatetrapeton x3x3x3x3x *c3x

▫ x3x3x3x *c3x *c3x

▪ Demipenteractic pentacomb x3x3x3x *b3x *c3x

⁘ 𝕱₁ x3x3x3x3x3x3*c

⁘ 𝕱₂ x3x3x3x3x3*b3x

⁘ 𝕱₃ x3x3x3x3x3x *b3*e

⁘ 𝕱₆ x3x3x3x3x *b3x3*d

⁘ 𝕱₉ x3x3x3x3x3x3*a *b3*e

Diprismatic (8)

• Great cellidodecateric prism x x3x3x3x3x

• Great prismated triacontaditeric prism x x3x3x3x *b3x

▪ Truncated icositetrachoric tetracomb prism x x3x3x *b3x *b3x

▫ 𝕱 prism x x3x3x3x3x3*b

• Hexagonal-great prismatodecachoric duoprism x3x x3x3x3x

• Hexagonal-truncated icositetrachoric duoprism x3x x3x3x *b3x

▪ Hexagonal-bitruncated cubic honeycomb duoprism x3x x3x3x3x3*a

• Truncated octahedral duoprism x3x3x x3x3x

Triprismatic (5)

• Square-great prismatodecachoric duoprism x x x3x3x3x

• Square-truncated icositetrachoric duoprism x x x3x3x *b3x

▪ Square-bitruncated cubic honeycomb duoprism x x x3x3x3x3*a

• 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