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!colspan=2|[[List_of_spherical_symmetry_groups|Spherical]]
!colspan=2|[[List_of_spherical_symmetry_groups|Spherical]]
![[List_of_planar_symmetry_groups|Euclidean]]
![[List_of_planar_symmetry_groups|Euclidean]]
!colspan=5|Hyperbolic
!colspan=4|Compact hyperbolic
!Paracompact
|-
|-
!242<BR>[2,4]<sup>+</sup>
!242<BR>[2,4]<sup>+</sup>
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!642<BR>[6,4]<sup>+</sup>
!642<BR>[6,4]<sup>+</sup>
!742<BR>[7,4]<sup>+</sup>
!742<BR>[7,4]<sup>+</sup>
!842<BR>[8,4]<sup>+</sup>
!842<BR>[8,4]<sup>+</sup>...
!&infin;42<BR>[&infin;,4]<sup>+</sup>
!&infin;42<BR>[&infin;,4]<sup>+</sup>
|- align=center valign=bottom
|- align=center valign=bottom

Revision as of 21:09, 26 March 2014

Dimensional family of snub polyhedra and tilings: 3.3.4.3.n
Symmetry
4n2
[n,4]+
Spherical Euclidean Compact hyperbolic Paracompact
242
[2,4]+
342
[3,4]+
442
[4,4]+
542
[5,4]+
642
[6,4]+
742
[7,4]+
842
[8,4]+...
∞42
[∞,4]+
Snub
figure

3.3.4.3.2

3.3.4.3.3

3.3.4.3.4

3.3.4.3.5

3.3.4.3.6

3.3.4.3.7

3.3.4.3.8

3.3.4.3.∞
Coxeter
Schläfli

sr{2,4}

sr{3,4}

sr{4,4}

sr{5,4}

sr{6,4}

sr{7,4}

sr{8,4}

sr{∞,4}
Snub
dual
figure

V3.3.4.3.2

V3.3.4.3.3

V3.3.4.3.4

V3.3.4.3.5
V3.3.4.3.6 V3.3.4.3.7 V3.3.4.3.8 V3.3.4.3.∞
Coxeter