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It is also a spirolateral, 8 90° 1,5. A golygon, or more generally a serial isogon of 90°, is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths. Golygons were invented and named by Lee Sallows, and popularized by A.K. Dewdney in a 1990 Scientific American column (Smith). [1]
Any straight-sided digon is regular even though it is degenerate, because its two edges are the same length and its two angles are equal (both being zero degrees). As such, the regular digon is a constructible polygon. [3] Some definitions of a polygon do not consider the digon to be a proper polygon because of its degeneracy in the Euclidean ...
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".
Every vertex has at least degree 3 (a degree-2 vertex must have two straight angles or one reflex angle); If the vertex has degree d {\displaystyle d} , the smallest d − 1 {\displaystyle d-1} polygon vertex angles sum to over 180 ∘ {\displaystyle 180^{\circ }} ;
A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles. In geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain.
An equilateral pentagon is a polygon with five sides of equal length. However, its five internal angles can take a range of sets of values, thus permitting it to form a family of pentagons. In contrast, the regular pentagon is unique up to similarity, because it is equilateral and it is equiangular (its five angles are equal).
The regular 65537-gon (one with all sides equal and all angles equal) is of interest for being a constructible polygon: that is, it can be constructed using a compass and an unmarked straightedge. This is because 65,537 is a Fermat prime, being of the form 2 2 n + 1 (in this case n = 4).
A regular polygon with n sides can be constructed with ruler, compass, and angle trisector if and only if =, where r, s, k ≥ 0 and where the p i are distinct Pierpont primes greater than 3 (primes of the form +). [8]: Thm. 2 These polygons are exactly the regular polygons that can be constructed with Conic section, and the regular polygons ...