triangular

Generates points forming a triangular lattice in a 2D plane.

A triangular lattice can be seen as the centers of a triangular tessellation of the plane, constructed by combining two offset grids.

Two grids are combined:

1. grid_1: Points at (i, j * √3) where i ranges from 0 to n_x and j over n_y rows.

2. grid_2: Offset points at (i + 0.5, (j + 0.5) * √3).

Each point in the lattice has 6 equidistant neighbors, forming equilateral triangles.

Parameters

• n_x (int): Determines the extent along the x-direction. Influences the number of points in horizontal rows.

• n_y (int): Determines the extent along the y-direction. Influences the number of rows.

Returns

• SetPoints: Instance with points forming a triangular lattice.

Example

import proximitygraphs as pg

pts = pg.SetPoints.triangular(n_x=10, n_y=10)

pts.draw(figsize=(8, 8), v_color='#d62728', v_size=18)