Octagon (EntityTopic, 12)

From Hi.gher. Space

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== Equations ==
== Equations ==
*The area of a regular octagon with side length ''l'' is:
*The area of a regular octagon with side length ''l'' is:
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The octagon of side 1 may be [[dissect]]ed into 8× isosceles [[triangle]] with sides {1,2×√(1+<sup>√2</sup>⁄<sub>2</sub>)}.
The octagon of side 1 may be [[dissect]]ed into 8× isosceles [[triangle]] with sides {1,2×√(1+<sup>√2</sup>⁄<sub>2</sub>)}.
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== Use ==
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<[#polytope [id -8]]>
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Octagonal faces are found in these trishapes on FGwiki:
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*[[Cubic truncate]] (6×, 63%)
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*[[Octagonal prism]] (2×, 20%)
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{{Dishapes}}
{{Dishapes}}

Revision as of 22:05, 16 February 2014

Equations

  • The area of a regular octagon with side length l is:
2(1 + √2) · l2

Dissection

The octagon of side 1 may be dissected into 8× isosceles triangle with sides {1,2×√(1+√22)}.

Incidence matrix

Dual: Self-dual

#TXIDVaEaTypeName
0 Va= point ;
1 Ea2= digon ;
2 8a88= octagon ;

Usage as facets


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle

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