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The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. More precisely, the only allowed intersections among the line segments ...
These segments are called its edges or sides, and the points where two of the edges meet are the polygon's vertices (singular: vertex) or corners. The word polygon comes from Late Latin polygōnum (a noun), from Greek πολύγωνον ( polygōnon/polugōnon ), noun use of neuter of πολύγωνος ( polygōnos/polugōnos , the masculine ...
In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side".
Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle , [ 3 ] a triangle with two sides having the same length is an isosceles triangle , [ 4 ] [ a ] and a triangle with three different-length sides is a scalene triangle . [ 7 ]
Nonetheless, the game is bound to end as some free ends become isolated. With n initial crosses, the number of moves will, remarkably, always be 5n − 2. Consequently, a game starting with an odd number of crosses will be a first player win, while a game starting with an even number will be a second player win regardless of the moves.
Full symmetry of the square is r8 and no symmetry is labeled a1. The square has Dih 4 symmetry, order 8. There are 2 dihedral subgroups: Dih 2, Dih 1, and 3 cyclic subgroups: Z 4, Z 2, and Z 1. A square is a special case of many lower symmetry quadrilaterals: A rectangle with two adjacent equal sides; A quadrilateral with four equal sides and ...