Search results
Results from the WOW.Com Content Network
In geometry, a hendecagon (also undecagon [1] [2] or endecagon [3]) or 11-gon is an eleven-sided polygon. (The name hendecagon , from Greek hendeka "eleven" and –gon "corner", is often preferred to the hybrid undecagon , whose first part is formed from Latin undecim "eleven".
The star in this scroll is not one of the regular forms of the hendecagram, but instead uses lines that connect the vertices of a hendecagon to nearly-opposite midpoints of the hendecagon's edges. [ 8 ] 11-pointed star Girih patterns are also used on the exterior of the Momine Khatun Mausoleum ; Eric Broug writes that its pattern "can be ...
Individual polygons are named (and sometimes classified) according to the number of sides, combining a Greek-derived numerical prefix with the suffix -gon, e.g. pentagon, dodecagon. The triangle, quadrilateral and nonagon are exceptions, although the regular forms trigon, tetragon, and enneagon are sometimes encountered as well.
This result establishes, considering prime-power regular polygons less than the 100-gon, that it is impossible to construct the 23-, 29-, 43-, 47-, 49-, 53-, 59-, 67-, 71-, 79-, 83-, and 89-gons with neusis. But it is not strong enough to decide the cases of the 11-, 25-, 31-, 41-, and 61-gons. Elliot Benjamin and Chip Snyder discovered in 2014 ...
A triangle with a hendecagon (11-gon) yields a 13.2-gon, a square with a heptagon (7-gon) yields a 9.3333-gon, and a pentagon with a hexagon yields a 7.5-gon). Hence there are 1 ( 1 ) + ( 1 ( 2 ) + 1 ) + ( 3 ( 2 ) + 1 ) + 10 = 21 {\displaystyle 1(1)+(1(2)+1)+(3(2)+1)+10=21} combinations of regular polygons which meet at a vertex.
Regular polyhedron. Platonic solid: . Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron; Regular spherical polyhedron. Dihedron, Hosohedron; Kepler–Poinsot ...
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).
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.