Hexagon (EntityTopic, 12)
From Hi.gher. Space
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| dual=''Self-dual'' | | dual=''Self-dual'' | ||
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| + | == Equations == | ||
| + | *The area of a regular hexagon with side length ''l'' is equal to six times the area of an equilateral [[triangle]] with side length ''l'', i.e.: | ||
| + | <blockquote>''l''<sup>2</sup> · <sup>3√3</sup>∕<sub>2</sub></blockquote> | ||
| + | *Because the diameter of a hexagon is twice its side length, the area of a hexagon with diameter ''l'' is a quarter of this, i.e.: | ||
| + | <blockquote>''l''<sup>2</sup> · <sup>3√3</sup>∕<sub>8</sub></blockquote> | ||
== Segmentation == | == Segmentation == | ||
Revision as of 10:34, 11 March 2011
Equations
- The area of a regular hexagon with side length l is equal to six times the area of an equilateral triangle with side length l, i.e.:
l2 · 3√3∕2
- Because the diameter of a hexagon is twice its side length, the area of a hexagon with diameter l is a quarter of this, i.e.:
l2 · 3√3∕8
Segmentation
The hexagon of side 1 may be segmented into:
Use
Hexagonal faces are found in these trishapes on FGwiki:
- Icosahedral truncate (20×, 63%)
- Octahedral truncate (8×, 57%)
- Tetrahedral truncate (4×, 50%)
| Notable Dishapes | |
| Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
| Curved: | circle |
