Padovan cuboid spiral

In mathematics the Padovan cuboid spiral is the spiral created by joining the diagonals of faces of successive cuboids added to a unit cube.

[1][2][3] Joining the diagonals of the exposed end of each new added cuboid creates a spiral (seen as the black line in the figure).

The points on this spiral all lie in the same plane.

Each new cuboid added has a length and width that matches the length and width of the face being added to.

[1][3] Connecting alternate points where the spiral bends creates a series of triangles, where each triangle has two sides that are successive Padovan numbers and that has an obtuse angle of 120 degrees between these two sides.