Template:A8 honeycombs: Difference between revisions

Latest revision as of 09:42, 15 December 2022

This honeycomb is one of 45 unique uniform honeycombs^[1] constructed by the ${\tilde {A}}_{8}$ Coxeter group. The symmetry can be multiplied by the ring symmetry of the Coxeter diagrams:

A8 honeycombs
Enneagon symmetry	Symmetry	Extended diagram	Extended group	Honeycombs
a1	[3^[9]]	File:CDel node.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png	${\tilde {A}}_{8}$	File:CDel split1.png File:CDel nodes 10lur.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 10lr.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 10lur.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 10l.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 10l.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 10lr.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 10l.png File:CDel split1.png File:CDel nodes 10lur.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 10lr.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 10lur.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 10l.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 10lr.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 10lr.png File:CDel 3ab.png File:CDel branch 10l.png File:CDel split1.png File:CDel nodes 10lur.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 10l.png File:CDel split1.png File:CDel nodes 10lur.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 10l.png
i2	[[3^[9]]]	File:CDel split1.png File:CDel nodeab c2.png File:CDel 3ab.png File:CDel nodeab c3.png File:CDel 3ab.png File:CDel nodeab c4.png File:CDel 3ab.png File:CDel branch c5.png	${\tilde {A}}_{8}$ ×2	File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png₁ File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png ₂ File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png
i6	[3[3^[9]]]	File:CDel split1.png File:CDel nodeab c1.png File:CDel 3ab.png File:CDel nodeab c1.png File:CDel 3ab.png File:CDel nodeab c3.png File:CDel 3ab.png File:CDel branch c1.png	${\tilde {A}}_{8}$ ×6	File:CDel split1.png File:CDel 3ab.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel 3ab.png File:CDel branch 11.png
r18	[9[3^[9]]]	File:CDel split1.png File:CDel nodeab c1.png File:CDel 3ab.png File:CDel nodeab c1.png File:CDel 3ab.png File:CDel nodeab c1.png File:CDel 3ab.png File:CDel branch c1.png	${\tilde {A}}_{8}$ ×18	File:CDel split1.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel nodes 11.png File:CDel 3ab.png File:CDel branch 11.png ₃

References

↑ * Weisstein, Eric W. "Necklace". MathWorld., OEIS sequence A000029 46-1 cases, skipping one with zero marks

[1] * Weisstein, Eric W. "Necklace". MathWorld., OEIS sequence A000029 46-1 cases, skipping one with zero marks

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Revision as of 15:47, 19 May 2022 (view source) alpha>Sarika (Created page with "This honeycomb is one of 45 unique uniform honeycombs<ref>* {{mathworld \| urlname = Necklace \| title = Necklace}}, {{OEIS...")	Latest revision as of 09:42, 15 December 2022 (view source) Indicwiki (talk \| contribs) m (1 revision imported from alpha:Template:A8_honeycombs)
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