Mirror symmetric pentagon

From Polytope Wiki
(Redirected from Floret pentagon)
Jump to navigation Jump to search
Mirror symmetric pentagon
Rank2
Elements
Edges2 + 2 + 1
Vertices2 + 2 + 1
Vertex figuresDyad, length 2
 Dyad, length
 Dyad, length
Measures (edge lengths 1,2)
Area
Angles120° = radians
 60° = radians
Central density1
Abstract & topological properties
Flag count10
Euler characteristic0
SurfaceCircle
OrientableYes
Properties
Flag orbits5
ConvexYes
Net count3
NatureTame

The mirror symetric pentagon is a type of irregular pentagon with mirror symmetry but no rotational symmetry. It appears as in the vertex figures of several snub polyhedra and thus as faces of their duals.

Vertex coordinates[edit | edit source]

Coordinates for a floret pentagon with minor edge length 1 and major edge length 2 are:

  • ,
  • ,
  • .

These coordinates lie coincide with vertices of a triangular tiling, and the floret pentagon can be dissected into 7 equilateral triangles.