Hexagon (EntityTopic, 12)
From Hi.gher. Space
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== Equations == | == 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.: | *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> | + | <blockquote><sup>3√3</sup>∕<sub>2</sub> · ''l''<sup>2</sup></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.: | *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> | + | <blockquote><sup>3√3</sup>∕<sub>8</sub> · ''l''<sup>2</sup></blockquote> |
== Segmentation == | == Segmentation == | ||
Revision as of 01:22, 18 November 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.:
3√3∕2 · l2
- 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.:
3√3∕8 · l2
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%)
- Hexagonal prism (2×, 25%)
| Notable Dishapes | |
| Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
| Curved: | circle |
