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The area of a regular decagon of side length a is given by: [3] ... For the regular decagon, m=5, and it can be divided into 10 rhombs, with examples shown below.
It has twelve lines of reflective symmetry and rotational symmetry of order 12. A regular dodecagon is represented by the Schläfli symbol {12} and can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.
A regular star pentagon, {5/2}, has five vertices (its corner tips) and five intersecting edges, while a concave decagon, |5/2|, has ten edges and two sets of five vertices. The first is used in definitions of star polyhedra and star uniform tilings , while the second is sometimes used in planar tilings.
A regular pentadecagon has interior angles of 156°, and with a side length a, has an area given by = = + + + = ... A regular triangle, decagon, ...
Regular pentagon (n = 5) with side s, circumradius R and apothem a Graphs of side, s; apothem, a; and area, A of regular polygons of n sides and circumradius 1, with the base, b of a rectangle with the same area. The green line shows the case n = 6.
The pentagonal cupola's faces are five equilateral triangles, five squares, one regular pentagon, and one regular decagon. [1] It has the property of convexity and regular polygonal faces, from which it is classified as the fifth Johnson solid. [2]
A regular skew hexadecagon is vertex-transitive with equal edge lengths. In 3-dimensions it will be a zig-zag skew hexadecagon and can be seen in the vertices and side edges of an octagonal antiprism with the same D 8d , [2 + ,16] symmetry, order 32.
The regular tetradecagon has Dih 14 symmetry, order 28. There are 3 subgroup dihedral symmetries: Dih 7 , Dih 2 , and Dih 1 , and 4 cyclic group symmetries: Z 14 , Z 7 , Z 2 , and Z 1 . These 8 symmetries can be seen in 10 distinct symmetries on the tetradecagon, a larger number because the lines of reflections can either pass through vertices ...