Hexateron

A hexateron is a 5-dimensional simplex. It is also called the pyroteron under the elemental naming scheme.

Properties

Hypervolumes

• vertex count = $6$
• edge length = $15l$
• surface area = $5\sqrt { 3 } { l }^{ 2 }$
• surcell volume = $\frac { 5\sqrt { 2 } }{ 4 } { l }^{ 3 }$
• surteron bulk = $\frac { \sqrt { 5 } }{ 16 } { l }^{ 4 }$
• surpeton pentavolume = $\frac { \sqrt { 3 } }{ 480 } { l }^{ 5 }$

Subfacets

• 6 points (0D)
• 15 lines (1D)
• 20 triangles (2D)
• 15 tetrahedra (3D)
• 6 pentachora (4D)

	Zeroth	First	Second	Third	Fourth	Fifth	Sixth	Seventh	Eighth	Ninth	Tenth
Simplex	Point	Line	Triangle	Tetrahedron	Pentachoron	Hexateron	Heptapeton	Octaexon	Enneazetton	Decayotton	Hendecaxennon
Hypercube	Point	Line	Square	Cube	Tesseract	Penteract	Hexeract	Hepteract	Octeract	Enneract	Dekeract
Cross	Point	Line	Square	Octahedron	Hexadecachoron	Pentarss	Hexarss	Heptarss	Octarss	Ennearss	Decarss
Hypersphere	Point	Line	Circle	Sphere	Glome	Hyperglome	Hexaphere	Heptaphere	Octaphere	Enneaphere	Decaphere