Compound of four squares

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Compound of four squares
Rank2
TypeRegular
Notation
Bowers style acronymTesq
Schläfli symbol{16/4}
Elements
Components4 squares
Edges16
Vertices16
Vertex figureDyad, length 2
Measures (edge length 1)
Circumradius
Inradius
Area4
Angle90°
Central density4
Number of external pieces32
Level of complexity2
Related polytopes
ArmyHed, edge length
DualCompound of four squares
ConjugateCompound of four squares
Convex coreHexadecagon
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(16), order 32
ConvexNo
NatureTame

The tetrasquare, or tesq, is a polygon compound composed of 4 squares. As such it has 16 edges and 16 vertices.

It is the third stellation of the hexadecagon.

Its quotient prismatic equivalent is the square tetrahedroorthowedge, which is five-dimensional.

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