Update of Nov. 30, 2014 —

It turns out that the following construction appears on

pages 16-17 of *A Geometrical Picture Book* , by

Burkard Polster (Springer, 1998).

"Experienced mathematicians know that often the hardest

part of researching a problem is understanding precisely

what that problem says. They often follow Polya's wise

advice: 'If you can't solve a problem, then there is an

easier problem you can't solve: find it.'"

—John H. Conway, foreword to the 2004 Princeton

Science Library edition of *How to Solve It* , by G. Polya

For a similar but more difficult problem involving the

31-point projective plane, see yesterday's post

"Euclidean-Galois Interplay."

The above ~~new~~ [see update above] Fano-plane model was

suggested by some 1998 remarks of the late Stephen Eberhart.

See this morning's followup to "Euclidean-Galois Interplay"

quoting Eberhart on the topic of how some of the smallest finite

projective planes relate to the symmetries of the five Platonic solids.

Update of Nov. 27, 2014: The seventh "line" of the tetrahedral

Fano model was redefined for greater symmetry.