Dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton

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Dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton
4 21 t0 E8.svg
Rank8
TypeUniform
SpaceSpherical
Bowers style acronymFy
Info
Coxeter diagramx3o3o3o3o3o3o *e3o
SymmetryE8, order 696729600
ArmyFy
RegimentFy
Elements
Vertex figureHecatonicosihexapentacosiheptacontahexaexon
Zetta17280 octaexa, 2160 hecatonicosoctaexa
Exa138240+69120 heptapeta
Peta483840 hexatera
Tera483840 pentachora
Cells241920 tetrahedra
Faces60480 triangles
Edges6720
Vertices240
Measures (edge length 1)
Circumradius1
Hypervolume57/112 ≈ 0.50893
Dizettal anglesoca–hop-zee: arccos(–25/32) ≈ 152.11443°
 zee–hop-zee: arccos(–3/4) ≈ 138.590378°
Central density1
Euler characteristic0
Related polytopes
DualSemistellatotriacontaditeri-icosiheptapeto-pentacontoctaexic diacositetracontazetton
Properties
ConvexYes
OrientableYes
NatureTame

The dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton, abbreviated as 2160-17280-zetton, also known as fy, the E8 polytope, or the 421 polytope, is a semiregular polyzetton. It's made out of 17280 octaexa and 2160 hecatonicosoctaexa.

Coordinates[edit | edit source]

Coordinates for a 2160-17280-zetton with edge length 22 are given by all permutations and sign changes of

  • (±2, ±2, 0, 0, 0, 0, 0, 0),

as well as all even sign changes of

  • (±1, ±1, ±1, ±1, ±1, ±1, ±1, ±1).

External links[edit | edit source]

  • Klitzing, Richard. "Fy".