Template:A4 honeycombs

This honeycomb is one of seven unique uniform honeycombs constructed by the ${\tilde {A}}_{4}$ Coxeter group. The symmetry can be multiplied by the symmetry of rings in the Coxeter–Dynkin diagrams:

A4 honeycombs
Pentagon symmetry	Extended symmetry	Extended diagram	Extended group	Honeycomb diagrams
a1	[3[5]]	File:CDel split1.pngFile:CDel nodes.pngFile:CDel branch.png	${\tilde {A}}_{4}$	(None)
i2	[[3[5]]]	File:CDel node c1.pngFile:CDel split1.pngFile:CDel nodeab c2.pngFile:CDel branch c3.png	${\tilde {A}}_{4}$×2	File:CDel split1.pngFile:CDel nodes.pngFile:CDel branch.png 1,File:CDel split1.pngFile:CDel branch.png 2,File:CDel split1.pngFile:CDel nodes.png 3, File:CDel split1.pngFile:CDel branch.png 4,File:CDel split1.pngFile:CDel nodes.png 5,File:CDel split1.png 6
r10	[5[3[5]]]	File:CDel node c1.pngFile:CDel split1.png	${\tilde {A}}_{4}$×10	File:CDel split1.png 7