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What (who) is 5 21 honeycomb - definition
5 21 honeycomb
TYPE OF UNIFORM TESSELLATION
E8 honeycomb; Gosset 5 21 honeycomb; Gosset 5 21 lattice
In geometry, the 521 honeycomb is a uniform tessellation of 8-dimensional Euclidean space. The symbol 521 is from Coxeter, named for the length of the 3 branches of its Coxeter-Dynkin diagram.
Honeycomb structure
![Honeycomb crash absorption structure made of injection moulded thermoplastic polymer on a [[BMW i3]]](https://commons.wikimedia.org/wiki/Special:FilePath/2013 IAA BMW i3 Honeycomb structure.jpg?width=200 "Honeycomb crash absorption structure made of injection moulded thermoplastic polymer on a [[BMW i3]]")
![XB-70 of [[Dryden Flight Research Center]] in 1968](https://commons.wikimedia.org/wiki/Special:FilePath/North American XB-70 in Flight EC68-2131.jpg?width=200 "XB-70 of [[Dryden Flight Research Center]] in 1968")
![Honeycomb grille used on a [[computer fan]] to cover fan blades.](https://commons.wikimedia.org/wiki/Special:FilePath/Silent PC-honeycomb grille.JPG?width=200 "Honeycomb grille used on a [[computer fan]] to cover fan blades.")
NATURAL OR MAN-MADE STRUCTURES THAT HAVE THE GEOMETRY OF A HONEYCOMB
Composite honeycomb; Paper honeycomb; Paper honey comb; Honeycomb Structures; Honeycomb sandwich; Honeycomb structures; Aluminum honeycomb
Honeycomb structures are natural or man-made structures that have the geometry of a honeycomb to allow the minimization of the amount of used material to reach minimal weight and minimal material cost. The geometry of honeycomb structures can vary widely but the common feature of all such structures is an array of hollow cells formed between thin vertical walls.
Order-5 cubic honeycomb
![It is analogous to the 2D hyperbolic [[order-5 square tiling]], {4,5}](https://commons.wikimedia.org/wiki/Special:FilePath/H2-5-4-primal.svg?width=200 "It is analogous to the 2D hyperbolic [[order-5 square tiling]], {4,5}")
![It can be seen as analogous to the 2D hyperbolic [[tetrapentagonal tiling]], r{4,5} with square and pentagonal faces](https://commons.wikimedia.org/wiki/Special:FilePath/H2-5-4-rectified.svg?width=200 "It can be seen as analogous to the 2D hyperbolic [[tetrapentagonal tiling]], r{4,5} with square and pentagonal faces")
REGULAR TILING OF HYPERBOLIC 3-SPACE
Hyperbolic great cubic honeycomb; Alternated order-5 cubic honeycomb; Rectified order-5 cubic honeycomb; Omnitruncated order-5 cubic honeycomb; Runcitruncated order-5 cubic honeycomb; Cantitruncated order-5 cubic honeycomb; Cantellated order-5 cubic honeycomb; Runcinated order-5 cubic honeycomb; Truncated order-5 cubic honeycomb; Bitruncated order-5 cubic honeycomb; Runcicantic order-5 cubic honeycomb; Runcic order-5 cubic honeycomb; Cantic order-5 cubic honeycomb; Runcinated order-4 dodecahedral honeycomb; Omnitruncated order-4 dodecahedral honeycomb; Order-3-5 square honeycomb
In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol it has five cubes around each edge, and 20 cubes around each vertex.
