Spherical

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Regular convex

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dimension Simplex Cube Orthoplex Pentagonal polytope Simplex pentagonal polytope Others
0 point
1 line segment
_
2 triangle
 
square
 
pentagon
 
hexagon
 
3 tetrahedron
 
cube
 
octahedron
 
dodecahedron
 
icosahedron
 
4 5-cell
 
tesseract
 
16-cell
 
120-cell
 
600-cell
 
24-cell
 
5... 5-simplex
 
5-cube
 
5-orthoplex
 
Regular convex 2D polytopes, extended
heptagon
 
octagon
 
nonagon
 
decagon
 
undecagon
 
dodecagon
 
tridecagon
 
tetradecagon
 
pentadecagon
 
hexadecagon
 
heptadecagon
 
octadecagon
 
nonadecagon
 
icosagon...
 

Regular star

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dimension Pentagrammic polytope
2 pentagram
 
3 small stellated dodecahedron
 
great dodecahedron
 
great stellated dodecahedron
 
great icosahedron
 
4 icosahedral 120-cell
 
small stellated 120-cell
 
great 120-cell
 
grand 120-cell
 
great stellated 120-cell
 
grand stellated 120-cell
 
great grand 120-cell
 
great icosahedral 120-cell
 
grand 600-cell
 
great grand stellated 120-cell
 
Regular 2D stars, extended
heptagram
 
heptagram
 
octagram
 
nonagram
 
nonagram
 
decagram
 
hendecagram
 
hendecagram
 
hendecagram
 
hendecagram
 
dodecagram
 
tridecagram
 
tridecagram
 
tridecagram
 
tridecagram
 
tridecagram
 
tetradecagram
 
tetradecagram
 
pentadecagram
 
pentadecagram
 
pentadecagram
 
hexadecagram
 

Planar

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dimension n-hypercube tiling Others
1-space apeirogon
 
2-space quadrille
 
deltille
 
hextille
 
3-space cubic honeycomb
 
4-space tesseractic honeycomb
 
16-cell honeycomb
 
24-cell honeycomb