TRIANGULAR NUMBERS
Triangular numbers are equal to the sum of the natural numbers. The next triangular number is generated by adding the next natural number to the base of the triangle.
CONCENTRIC POLYGONS
Inscribed within a set of concentric circles, this series of regular polygons begins with a single chord inscribed at the innermost circle then expands outwards always increasing the number of sides of the next polygon by 1.
CORRELATION
Each successive polygon is inscribed with its vertex facing right. Each node is numbered starting from its vertex and rotating in a counterclockwise direction. Triangular numbered nodes result as each successive ring increases by the amount of the next polygon.
THE FIRST 629 POINTS
Above are the first 629 points inscribed within 34 concentric polygons. The vertex of each polygon line up to form a row of triangular numbered nodes.