biosspheres.miscella.spherearrangements#

Functions

cube_vertex_positions(number, r, d)

To obtain an arrangement of number**3 spheres.
biosspheres.miscella.spherearrangements.cube_vertex_positions(number: int, r: float, d: float) → list[ndarray][source]#

To obtain an arrangement of number**3 spheres.

Notes

This functions assumes the radii of all spheres are the same, and orders them in the corners of an array of cubes, starting in the origin of the coordinate system and placing them in the first quadrant. We need three parameters, number, r and d. These are translated to number**3 spheres, with r the radius of each one, and the length of the edge of each cube is 2r + d. If d=0 the spheres will touch each other.

Parameters:

  • number (int) – the total number of spheres is number**3.

  • r (float) – radius of each sphere.

  • d (float) – distance between two surfaces of spheres. The length of the edge of each cube 2r + d. If d=0 the spheres will touch each other.

Returns:

ps – position of the center of the spheres.

Return type:

list[np.ndarray]