Tetracontadigon

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Tetracontadigon
Rank2
TypeRegular
Notation
Coxeter diagramx42o ()
Schläfli symbol{42}
Elements
Edges42
Vertices42
Vertex figureDyad, length
Measures (edge length 1)
Circumradius
Inradius
Area
Angle
Central density1
Related polytopes
ArmyTetracontadigon
DualTetracontadigon
Abstract & topological properties
Flag count84
Euler characteristic0
OrientableYes
Properties
SymmetryI2(42), order 84
Flag orbits1
ConvexYes
Net count1
NatureTame

The tetracontadigon is a regular polygon with 42 sides. A regular tetracontadigon has equal sides and equal angles.

A regular tetracontadigon, heptagon and triangle together form a planar vertex.

It is the largest finite convex regular polygon that can be used in a planar vertex, although no regular faced tiling of the plane includes a tetracontadigon.