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