Model of PG(3.2)

thingiverse

A model of the smallest projective space, PG_3(2) in dimension 3 over the field with 2 elements. This space consists of 2^3+2^2+2^1+2^0=15 points and 35 lines (All edges and circles are to be interpreted as lines). A more thorough description can be found at:http://en.wikipedia.org/wiki/Finite_geometry This structure for example can be used to find a solution for Kirkman's schoolgirl problem: http://en.wikipedia.org/wiki/Kirkman%27s_schoolgirl_problem Instructions I initially wrote a Maple worksheet that calculates coordinates for the points and lines/circles through triples of points. While Maple can produce a 3D-picture based on this, it results in a file that is not really printable. I therefore modified the functions to not produce a Maple 3D plot, but to produce commands that could be pasted into a OpenSCAD program, this program then was used to produce the object.