About this 3D model

I came across a logo on Manuel Diaz Regueiro's page. It's a 3D version of square pursuit. Using OpenSCAD to express the 3D version of square pursuit seems a good challenge. I tried to make one. The source code requires OpenSCAD and dotSCAD. It can be found on dotSCAD/examples/spiral_polygons/square_pursuit_3d.scad.