Template:A7 honeycombs: Difference between revisions

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This honeycomb is one of 29 unique uniform honeycombs^[1] constructed by the ${\tilde {A}}_{7}$ Coxeter group, grouped by their extended symmetry of rings within the regular octagon diagram:

Octagon symmetry	Extended symmetry	Extended order	Honeycombs
a1	[3^[8]]	×1
d2	<[3^[8]]>	×2	₁
p2	[[3^[8]]]	×2	₂
d4	<2[3^[8]]>	×4
p4	[2[3^[8]]]	×4
d8	[4[3^[8]]]	×8
r16	[8[3^[8]]]	×16	₃

^ Weisstein, Eric W. "Necklace". MathWorld., A000029 30-1 cases, skipping one with zero marks

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 !Extended<BR>order
 !Honeycombs
-|- align=center
+|- style="text-align:center;"
 !a1
 ![3<sup>[8]</sup>]
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 {{CDD|node_1|split1|nodes_10lur|3ab|nodes|3ab|nodes_11|split2|node}}
 {{CDD|node_1|split1|nodes_10lur|3ab|nodes_10lr|3ab|nodes_11|split2|node}}
-|- align=center
+|- style="text-align:center;"
 !d2
 !<[3<sup>[8]</sup>]>
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 {{CDD|node_1|split1|nodes_11|3ab|nodes|3ab|nodes|split2|node_1}}
 {{CDD|node_1|split1|nodes_11|3ab|nodes_11|3ab|nodes|split2|node_1}}
-|- align=center
+|- style="text-align:center;"
 !p2
 !<nowiki>[[</nowiki>3<sup>[8]</sup>]]
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 {{CDD|branch_11|3ab|nodes|3ab|nodes_11|3ab|branch}}
 {{CDD|branch_11|3ab|nodes_11|3ab|nodes_11|3ab|branch}}
-|- align=center
+|- style="text-align:center;"
 !d4
 !<2[3<sup>[8]</sup>]>
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 {{CDD|node_1|split1|nodes|3ab|nodes|3ab|nodes|split2|node_1}}
 {{CDD|node|split1|nodes_11|3ab|nodes_11|3ab|nodes_11|split2|node}}
-|- align=center
+|- style="text-align:center;"
 !p4
 !<nowiki>[2[</nowiki>3<sup>[8]</sup>]]
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 {{CDD|branch_11|3ab|nodes|3ab|nodes|3ab|branch_11}}
 {{CDD|branch|3ab|nodes_11|3ab|nodes_11|3ab|branch}}
-|- align=center
+|- style="text-align:center;"
 !d8
 ![4[3<sup>[8]</sup>]]
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 |×8
 |{{CDD|node_1|split1|nodes|3ab|nodes_11|3ab|nodes|split2|node_1}}
-|- align=center
+|- style="text-align:center;"
 !r16
 ![8[3<sup>[8]</sup>]]