two triangles six ways

April 8, 2015 in desargues

the other four ways can be found
by holding the page up to a mirror
(rotated 90 degrees from this
orientation).

this is a fairly old drawing.
here is my recent discovery
of the “five-way symmetric” version
of the same situation (the “ten
circles theorem” as i call it).
finding this stuff out… color
displays in projective geometry…
is my probably my proudest accomplishment
in mathematics-as-such. my classroom
work impressed me quite a bit, too,
but those days are over now most likely.
here’s fano’s cube from 2011.

i wish i’d stayed a grill cook.
by now, i’d’ve probably gotten
pretty good at it.

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