Hexagon (EntityTopic, 12)

From Hi.gher. Space

Revision as of 17:17, 8 February 2014

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:

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

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%)

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