editor / unitRegularPolygon

Function: unitRegularPolygon()

unitRegularPolygon(corners): readonly Point[]

Defined in: geometry/unit-regular-polygon.ts:19

Vertices of a regular polygon on the unit circle centered at the origin, with a horizontal bottom edge (a flat base), in the SVG frame (y pointing down).

The vertices run clockwise on screen from the right end of the flat base (Q18, F08): the j-th is at the angle βⱼ = −π/2 + (1 − 2j) π / n of the mathematical frame, so that the base is always vertices 1 and 2 (indexes 0 and 1), written (cos βⱼ, −sin βⱼ) once the y axis is flipped. The start is chosen by its index, never by comparing floating coordinates. No coordinate is −0; one that is zero in exact arithmetic may be off by about 1e-16 (cosine and sine of a double), which is accepted.

Parameters

corners

number

number of corners n, an integer >= 3

Returns

readonly Point[]

the n vertices in drawing order

Kind

geometry

See

DERIV-regular-polygon-fit