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Triacontadigon facts for kids

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Regular triacontadigon
Regular polygon 32.svg
A regular triacontadigon
Type Regular polygon
Edges and vertices 32
Schläfli symbol {32}, t{16}, tt{8}, ttt{4}
Coxeter diagram CDel node 1.pngCDel 3x.pngCDel 2x.pngCDel node.png
CDel node 1.pngCDel 16.pngCDel node 1.png
Symmetry group Dihedral (D32), order 2×32
Internal angle (degrees) 168.75°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

A triacontadigon or icosidodecagon is a shape with 32 sides and 32 corners.

Regular triacontadigon

All sides of a regular triacontadigon are the same length. Each corner is 1683⁄4°. All corners added together equal 5400°.

Area

The amount of space a regular triacontadigon takes up is

\text{Area} = 8a^2 \left(1+ \sqrt{2} + \sqrt{4 +2 \sqrt{2} } +\sqrt{8 +4 \sqrt{2} +2 \sqrt{20 +14 \sqrt{2} } }\right).

a is the length of one of its sides.

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Triacontadigon Facts for Kids. Kiddle Encyclopedia.