Heptapeton

Skeleton graph of the heptapeton

A heptapeton is a 6-dimensional simplex. It is also called the pyropeton under the elemental naming scheme.

Properties

Hypervolumes

• vertex count = $7$
• edge length = $21l$
• surface area = ${\frac {35{\sqrt {3}}}{4}}{l}^{2}$
• surcell volume = ${\frac {35{\sqrt {3}}}{12}}{l}^{3}$
• surteron bulk = ${\frac {7{\sqrt {5}}}{32}}{l}^{4}$
• surpeton pentavolume = ${\frac {7{\sqrt {3}}}{480}}{l}^{5}$
• surexon hexavolume = ${\frac {\sqrt {7}}{5760}}{l}^{6}$

Subfacets

• 7 points (0D)
• 21 lines (1D)
• 35 triangles (2D)
• 35 tetrahedra (3D)
• 21 pentachora (4D)
• 7 hexatera (5D)

	Zeroth	First	Second	Third	Fourth	Fifth	Sixth	Seventh	Eighth	Ninth	Tenth	Eleventh	Twelfth	Thirteenth	Fourteenth	Fifteenth	Sixteenth
Simplex	Point	Line	Triangle	Tetrahedron	Pentachoron	Hexateron	Heptapeton	Octaexon	Enneazetton	Decayotton	Hendecaxennon	Dodecadakon	Tredecahendakon	Quattuordecadokon	Quindecatradakon	Sexdecateradakon	Septendecapetadakon
Hypercube	Point	Line	Square	Cube	Tesseract	Penteract	Hexeract	Hepteract	Octeract	Enneract	Dekeract	Undekeract	Dodekeract	Tredekeract	Quattuordekeract	Quindekeract	Sexdekeract
Cross	Point	Line	Square	Octahedron	Hexadecachoron	Pentarss	Hexarss	Heptarss	Octarss	Ennearss	Decarss	Hendecarss	Dodecarss	Tredecarss	Quattuordecarss	Quindecatrarss	Sexdecaterarss
Hypersphere	Point	Line	Circle	Sphere	Glome	Hyperglome	Hexaphere	Heptaphere	Octaphere	Enneaphere	Decaphere	Hendecaphere	Dodecaphere	Tredecaphere	Quattuordecaphere	Quindecatraphere	Sexdecateraphere