Geopeton (EntityTopic, 20)

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Revision as of 19:08, 14 March 2008

A hexeract, also known as a hexacube or a regular dodecapeton is a special case of the prism where the base is a penteract.

Equations

• Variables:

l ⇒ length of the edges of the hexeract

• All points (x, y, z, w, φ, σ) that lie on the surpeton of a hexeract will satisfy the following equation:

Unknown

• The hypervolumes of a hexeract are given by:

total edge length = 192l
total surface area = 240l²
total surcell volume = 160l³
surteron bulk = 60l⁴
surpeton pentavolume = 12l⁵
hexavolume = l⁶

• The pentaplanar cross-sections (n) of a hexeract are:

[!x, !y, !z, !w, !φ, !σ] ⇒ pentacube of side (l)

Net

The net of a hexeract is a penteract surrounded by ten more penteracts, with one more penteract added to one of these.

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