Template:Snub4 table: Difference between revisions

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4n2 symmetry mutations of snub tilings: 3.3.4.3.n v t e
Symmetry 4n2	Spherical		Euclidean	Compact hyperbolic				Paracomp.
Symmetry 4n2	242	342	442	542	642	742	842	∞42
Snub figures
Config.	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.∞
Gyro figures
Config.	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.∞

@@ Line 1: / Line 1: @@
-{|class="wikitable"
+{|class="wikitable mw-collapsible mw-collapsed"
+! colspan=9|4''n''2 symmetry mutations of snub tilings: 3.3.4.3.''n'' {{navbar|Snub4 table|brackets=y|mini=y|style=float:right;}}
-|- valign=top
+|- style="vertical-align:top;"
-!valign=center|Symmetry
+!rowspan=2|Symmetry<BR>[[Orbifold notation|4''n''2]]
-!242<BR>[2,4]<sup>+</sup>
+!colspan=2|[[List_of_spherical_symmetry_groups|Spherical]]
-!342<BR>[3,4]<sup>+</sup>
+![[List_of_planar_symmetry_groups|Euclidean]]
-!442<BR>[4,4]<sup>+</sup>
+!colspan=4|Compact hyperbolic
-!542<BR>[5,4]<sup>+</sup>
+!Paracomp.
-!642<BR>[6,4]<sup>+</sup>
-!742<BR>[7,4]<sup>+</sup>
-!842<BR>[8,4]<sup>+</sup>
-|- align=center valign=bottom
-!Snub<BR>figure
-|[[File:Square_antiprism.png|60px]]<BR>[[Square_antiprism|3.3.4.3.2]]
-|[[File:Spherical_snub_cube.png|60px]]<br>[[Snub cube|3.3.4.3.3]]
-|[[Image:Uniform tiling 44-snub.png|60px]]<br>[[Snub square tiling|3.3.4.3.4]]
-|[[Image:Uniform tiling 54-snub.png|60px]]<br>[[Snub tetrapentagonal tiling|3.3.4.3.5]]
-|[[Image:Uniform tiling 64-snub.png|60px]]<br>[[Snub tetrahexagonal tiling|3.3.4.3.6]]
-|<!--[[Image:Uniform tiling 74-snub.png|60px]]--><br>[[Snub tetraheptagonal tiling|3.3.4.3.7]]
-|<!--[[Image:Uniform tiling 84-snub.png|60px]]--><br>[[Snub tetraoctagonal tiling|3.3.4.3.8]]
 |-
+!242
-![[Coxeter-Dynkin diagram|Coxeter]]<BR>[[Schläfli symbol|Schläfli]]
+!342
-!{{CDD|node_h|2|node_h|4|node_h}}<BR>s{2,4}
+!442
-!{{CDD|node_h|3|node_h|4|node_h}}<BR>s{3,4}
+!542
-!{{CDD|node_h|4|node_h|4|node_h}}<BR>s{4,4}
+!642
-!{{CDD|node_h|5|node_h|4|node_h}}<BR>s{5,4}
+!742
-!{{CDD|node_h|6|node_h|4|node_h}}<BR>s{6,4}
+!842
-!{{CDD|node_h|7|node_h|4|node_h}}<BR>s{7,4}
+!&infin;42
-!{{CDD|node_h|8|node_h|4|node_h}}<BR>s{8,4}
-|- align=center valign=bottom
+|- style="text-align:center;"
-!Snub<br>dual<BR>figure
+!Snub<BR>figures
+|[[File:Spherical square antiprism.svg|60px]]
-|[[File:Tetragonal_trapezohedron.png|50px]]<BR>[[Tetragonal trapezohedron|V3.3.4.3.2]]
+|[[File:Spherical_snub_cube.png|60px]]
-|[[File:Pentagonalicositetrahedronccw.jpg|60px]]<br>[[Pentagonal icositetrahedron|V3.3.4.3.3]]
+|[[Image:Uniform tiling 44-snub.png|60px]]
-|[[File:Tiling Dual Semiregular V3-3-4-3-4 Cairo Pentagonal.svg|60px]]<br>[[Cairo_pentagonal_tiling|V3.3.4.3.4]]
+|[[Image:H2-5-4-snub.svg|60px]]
-|[[File:Order-5-4_floret_pentagonal_tiling.png|60px]]<BR>[[Order-5-4 floret pentagonal tiling|V3.3.4.3.5]]
+|[[Image:Uniform tiling 64-snub.png|60px]]
+|[[Image:Uniform tiling 74-snub.png|60px]]
+|[[Image:Uniform tiling 84-snub.png|60px]]
+|[[File:Uniform tiling i42-snub.png|60px]]
+|-
+![[Vertex configuration|Config.]]
+![[Square_antiprism|3.3.4.3.2]]
+![[Snub cube|3.3.4.3.3]]
+![[Snub square tiling|3.3.4.3.4]]
+![[Snub tetrapentagonal tiling|3.3.4.3.5]]
+![[Snub tetrahexagonal tiling|3.3.4.3.6]]
+![[Snub tetraheptagonal tiling|3.3.4.3.7]]
+![[Snub tetraoctagonal tiling|3.3.4.3.8]]
+![[Snub tetrapeirogonal tiling|3.3.4.3.&infin;]]
+|- style="text-align:center;"
+!Gyro<BR>figures
+|[[File:Spherical tetragonal trapezohedron.svg|60px]]
+|[[File:Spherical pentagonal icositetrahedron.svg|60px]]
+|[[File:Tiling Dual Semiregular V3-3-4-3-4 Cairo Pentagonal.svg|60px]]
+|[[File:H2-5-4-floret.svg|60px]]
+|
+|
+|
+|
+|- style="text-align:center;"
+![[Face configuration|Config.]]
+|[[Tetragonal trapezohedron|V3.3.4.3.2]]
+|[[Pentagonal icositetrahedron|V3.3.4.3.3]]
+|[[Cairo_pentagonal_tiling|V3.3.4.3.4]]
+|[[Order-5-4 floret pentagonal tiling|V3.3.4.3.5]]
 |V3.3.4.3.6
 |V3.3.4.3.7
 |V3.3.4.3.8
+|V3.3.4.3.&infin;
-|-
+|}<noinclude>
-![[Coxeter-Dynkin diagram|Coxeter]]
+{{documentation|content=
-!{{CDD|node_fh|2|node_fh|4|node_fh}}
-!{{CDD|node_fh|3|node_fh|4|node_fh}}
+==See also==
-!{{CDD|node_fh|4|node_fh|4|node_fh}}
+{{Tiling templates}}
-!{{CDD|node_fh|5|node_fh|4|node_fh}}
-!{{CDD|node_fh|6|node_fh|4|node_fh}}
+[[Category:Polyhedra and tiling templates]]
-!{{CDD|node_fh|7|node_fh|4|node_fh}}
-!{{CDD|node_fh|8|node_fh|4|node_fh}}
+}}</noinclude>
-|}