# Curious Sunbeam Problem

This is a Catriona Agg problem presented by itself, since it turned out to be the most challenging one I ever tried.  Usually I can solve her problems in a few minutes or maybe hours, or sometimes days if they are especially challenging.  But this problem has taken me weeks and I had to rely on a non-geometric argument.  The problem is full of fascinating and unexpected relationships, but I couldn’t find a way to use them to prove the answer.

See the Curious Sunbeam Problem

(Update 5/5/2023)  Alternative Solution Continue reading

# Geometric Puzzle Magnificence

Here is yet another collection of beautiful geometric problems from Catriona Agg (née Shearer).  For some reason I found these a bit more challenging than the previous ones.   Some of them required more time to “see” the breakthrough.

See Geometric Puzzle Magnificence (revised)

(Update 11/13/2022)  Problem #3 Solution Corrected Continue reading

# Geometric Puzzle Munificence

Having fallen under the spell of Catriona Shearer’s geometric puzzles again, I thought I would present the latest group assembled by Ben Orlin, which he dubs “Felt Tip Geometry”, along with a bonus of two more recent ones that caught my fancy as being fine examples of Shearer’s laconic style. Orlin added his own names to the four he assembled and I added names to my two, again ordered from easier to harder.

(Update 4/16/2020)  Ben Orlin has another set of Catriona Shearer puzzles 11 Geometry Puzzles That Drive Mathematicians to Madness which I will leave you to see and enjoy. But I wanted to emphasize some observations he included that I think are spot on. Continue reading