Octagon (EntityTopic, 12)

From Hi.gher. Space

An octagon is a polygon with 8 sides. It is the truncated square.


The coordinates of a regular octagon with side two are all permutations of:

(±1, ±(1+√2))


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


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

Incidence matrix

Dual: Self-dual

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

Usage as facets

Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle

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