
This is a generatoronly picture of the smallest
projective space. This geometry has 15 points, 35 lines and 15 planes.
Every line contains 3 points, there are 7 lines through every point, all
planes are Fano planes, two distinct points are contained in exactly one
line and any three points that do not form a line are contained in exactly
one plane. In the diagram the 15 points are the 15 blue and green circles
and the lines are generated by the 5 lines/triangles by rotating the diagram
7 times 360/7 degrees at a time around its center. 