Hexagon (EntityTopic, 12)
From Hi.gher. Space
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<blockquote><sup>3√3</sup>∕<sub>8</sub> · ''l''<sup>2</sup></blockquote> | <blockquote><sup>3√3</sup>∕<sub>8</sub> · ''l''<sup>2</sup></blockquote> | ||
- | == | + | == Dissection == |
- | The hexagon of side 1 may be [[ | + | The hexagon of side 1 may be [[dissect]]ed into: |
*6× equilateral [[triangle]] with side 1 | *6× equilateral [[triangle]] with side 1 | ||
*3× [[rhombus]] with angles 2×{60°,120°} | *3× [[rhombus]] with angles 2×{60°,120°} |
Revision as of 15:08, 21 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
Dissection
The hexagon of side 1 may be dissected 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 |