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The regular hendecagon has Dih 11 symmetry, order 22. Since 11 is a prime number there is one subgroup with dihedral symmetry: Dih 1, and 2 cyclic group symmetries: Z 11, and Z 1. These 4 symmetries can be seen in 4 distinct symmetries on the hendecagon. John Conway labels these by a letter and group order. [11]
The bisymmetric hendecahedron contains 11 faces and can be arranged in 3D without gaps. A hendecahedron (or undecahedron) is a polyhedron with 11 faces.There are many topologically distinct forms of a hendecahedron, for example the decagonal pyramid, and enneagonal prism.
There are four regular hendecagrams, [2] which can be described by the notation {11/2}, {11/3}, {11/4}, and {11/5}; in this notation, the number after the slash indicates the number of steps between pairs of points that are connected by edges. These same four forms can also be considered as stellations of a regular hendecagon. [3]
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A hendecagonal prism is a prism with a hendecagon base. It is a type of tridecahedron, which consists of 13 faces, 22 vertices, and 33 sides. A regular hendecagonal prism is a hendecagonal prism whose faces are regular hendecagons, and each of its vertices is a common vertex of 2 squares and 1 hendecagon.
Sample 2: 10%: 60%: 30%: The proportion of sand is 30% as in Sample 1, but as the proportion of silt rises by 40%, the proportion of clay decreases correspondingly. Sample 3: 10%: 30%: 60%: This sample has the same proportion of clay as Sample 2, but the proportions of silt and sand are swapped; the plot is reflected about its vertical axis.
In spherical geometry, a monogon can be constructed as a vertex on a great circle ().This forms a dihedron, {1,2}, with two hemispherical monogonal faces which share one 360° edge and one vertex.
More generally, the constructibility of all powers of 5 greater than 5 itself by marked ruler and compass is an open problem, along with all primes greater than 11 of the form p = 2 r 3 s 5 t + 1 where t > 0 (all prime numbers that are greater than 11 and equal to one more than a regular number that is divisible by 10).