Geopeton (EntityTopic, 20)

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Revision as of 09:59, 17 September 2007

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

l ⇒ length of the edges of the hexacube

All points (x, y, z, w, φ, σ) that lie on the surpeton of a hexacube 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)

The net of a hexacube is a pentacube surrounded by ten more pentacubes, with one more pentacube added to one of these.

Notable Hexashapes
	pyropeton • aeropeton • geopeton • square cubic truncatriate

?. Unknown	?. [xyzwφσ] Hexacube	?. [<xy>zwφσ] Narrow hexacube
List of bracketopes

Revision as of 18:18, 16 September 2007 (view source) Keiji (Talk \| contribs) m (→Equations: fix) ← Older edit		Revision as of 09:59, 17 September 2007 (view source) Keiji (Talk \| contribs) m (fix) Newer edit →
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-	{{Shape\|Hexacube\|''No image''\|6\|12, 60, 160, 240, 192, 64\|0\|{[[Square\|4,]][[Cube\|3,]][[Tesseract\|4,]][[Pentacube\|5,]]6}\|N/A\|[[Line (object)\|E]][[Square\|E]][[Cube\|E]][[Tesseract\|E]][[Pentacube\|E]]E\|111111 xyzwφσ\|[[Hexateron]], edge √5\|N/A\|[[Tricositetrapeton]]\|156\|[xyzwφσ]\|''Unknown''\|pure\|''Unknown''\|1}}	+	{{Shape\|Hexacube\|''No image''\|6\|12, 60, 160, 240, 192, 64\|0\|{[[Square\|4,]][[Cube\|3,]][[Tesseract\|3,]][[Pentacube\|3,]]3}\|N/A\|[[Line (object)\|E]][[Square\|E]][[Cube\|E]][[Tesseract\|E]][[Pentacube\|E]]E\|111111 xyzwφσ\|[[Hexateron]], edge √5\|N/A\|[[Tricositetrapeton]]\|156\|[xyzwφσ]\|''Unknown''\|pure\|''Unknown''\|1}}

	== Geometry ==		== Geometry ==