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The design of the coin has not yet been decided, but its shape, which will be an equilateral curved heptagon, has been settled.
The heptagonal prism is a uniform polyhedron, with two regular heptagon faces and seven square faces.
Figure 7a shows a heptagon cut into smaller pieces (in two different ways) to yield a proof of the law of cosines.
However, there exist arbitrarily large sets of points in general position that contain no empty convex heptagon.
In a regular heptagon, in which all sides and all angles are equal, the sides meet at an angle of 5/7 radians, 128.5714286 degrees.
The illustration shows an example in which the seven points are the vertices of a regular heptagon.
However, some geometrical constructions are not possible with those tools, including the heptagon and trisecting an angle.
The badge is a black heptagon bearing a silver owl, the whole contained within a red annulet.
Apart from the heptagonal prism and heptagonal antiprism, no convex polyhedron made entirely out of regular polygons contains a heptagon as a face.
For example, sea stars display the symmetry of a pentagon or, less frequently, the heptagon or other polygons.
It is a seven sided coin, an equilateral curve heptagon of constant breadth (3 centimetres) and mass 13.5 grams.
