Hexagon (EntityTopic, 12)

From Hi.gher. Space

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<blockquote><sup>3√3</sup>∕<sub>8</sub> &middot; ''l''<sup>2</sup></blockquote>
<blockquote><sup>3√3</sup>∕<sub>8</sub> &middot; ''l''<sup>2</sup></blockquote>
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== Segmentation ==
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== Dissection ==
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The hexagon of side 1 may be [[segment]]ed into:
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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√32 · 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√38 · l2

Dissection

The hexagon of side 1 may be dissected into:

  • 6× equilateral triangle with side 1
  • rhombus with angles 2×{60°,120°}

Use

Hexagonal faces are found in these trishapes on FGwiki:


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle

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