a polygon with all sides the same length is said to be
equilateral
title: Golygon text: vertex and having consecutive sides of length 1, 2, ..., n units. The polygon may be self-crossing. Golygons are a special case of serial-sided isogons. The three-dimensional generalization of a golygon is called a golyhedron–a closed simply-connected solid figure confined to the faces of a cubical lattice and having face areas in the sequence 1, 2, ..., n, for some integer n. Golyhedrons have been found with values of n equal to 32, 15, 12, and 11 (the minimum possible). Golygon A golygon is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths. Golygons title: Equilateral polygon text: Equilateral polygon In geometry, three or more than three straight lines (or segment of a line) make a polygon and an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, it need not be equiangular (need not have all angles equal), but if it does then it is a regular polygon. If the number of sides is at least five, an equilateral polygon need not be a convex polygon: it could be concave or even self-intersecting. All regular polygons and isotoxal polygons are equilateral. An equilateral triangle is a regular triangle title: Regular polygon text: Regular polygon In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star. In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a regular apeirogon (effectively a straight line), if the edge length is fixed. "These properties apply to all regular polygons, whether convex or star." A regular "n"-sided polygon has rotational symmetry of order "n". All vertices of a regular title: Golygon text: Golygon A golygon 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). Variations on the definition of golygons involve allowing edges to cross, using sequences of edge lengths other than the consecutive integers, and considering turn angles other than 90°. In any golygon, all horizontal edges have the same parity as each other, as do all vertical edges. Therefore, the number "n" of sides must allow the solution of the system of equations title: Polygon text: Polygon In elementary geometry, a polygon () is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or "circuit". These segments are called its "edges" or "sides", and the points where two edges meet are the polygon's "vertices" (singular: vertex) or "corners". The interior of the polygon is sometimes called its "body". An "n"-gon is a polygon with "n" sides; for example, a triangle is a 3-gon. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. The basic