# Geopeton (EntityTopic, 20)

(Redirected from Hexeract)

The geopeton, also known as the hexeract, the hexacube and the regular dodecapeton is the six-dimensional hypercube. It is a special case of the prism where the base is a geoteron. It is also the square of the cube.

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

 Hypercubes point • digon • square • cube • geochoron • geoteron • geopeton

 Notable Hexashapes pyropeton • aeropeton • geopeton • square cubic truncatriate

 83. 21111Penterinder 84. 111111Hexeract 85. 51Pentaspheric cone List of tapertopes

 193. (<(zw)φ>)Unknown shape 194. [xyzwφσ]Hexeract 195. [zwφσ]Narrow hexeract List of bracketopes