Albrecht Wintterlin
While specializing on design theory as an architect, I came into
contact with finite geometry through the lectures of Prof.
H. Lenz, Berlin. Since then, I have been passionate about building
spatial models of projective planes. Solutions can only
be found by complicated computational procedures. What has kept me
going, is the aesthetical dimension of the subject.
I hope the quality of my model gives an account of what has been an
adventure for me.
3D-model of the projective plane of order 3 (13 points, 13 lines).
Each line (=colour) consists of three arcs of a circle, it meets
every other line exactly once. This sample is the result of
attempts over 12 years using Python programs written by myself. To
my knowledge there exists as yet no similar arrangement of three
tetrahedrons
and in particular no solution which includes only intersections
required by the axioms. A special illumination device enables the
observer to light up any pair of lines seperately.