“The best thing about this one: the really nice dissection solutions that were posted.” Jewel Cutters Four equilateral triangles are arranged around a square which has area 12. Blue Is more of this design green or blue (and by how much)?
Lots of people missed the important information and concluded there were infintely many solutions! “I think the wording of this one is my favourite. Isosceles I Saw All 4 triangles are isosceles. “This one’s quite neat – I like the fact that you don’t need to work out any of the actual side lengths, which are almost certainly horrible.” Spike in the Hive Two of the regular hexagons are identical the third has area 10. “I like the fact that although you can work out all the dimensions of the orange triangle from the information here (and I did when I solved it), you don’t actually need to – using the area and the hypotenuse is enough.” “I think this one’s quite neat, although it looks like a massive rip-off of Ed Southall’s puzzles.” The shaded area has the same value as the perimeter of the regular octagon. “Another corollary that I much prefer to the original.” It just looks impossible! Apparently the solution method used here is called shearing (unfortunately, not in my honour).” Shear Beauty The area of the bottom left square is 5.
“I quite like this one – I drew lots of pretty patterns based on it.” Three Square Meals The side lengths of the three squares are consecutive integers. “A ‘second attempt’ puzzle that was nicer than the first one I came up with.” It’s a Trap In this right-angled trapezium, the green area is 6 more than the yellow area. (This one feels like an instant classic to me.)
“Unfortunately, my favourite one of the six is the only one I didn’t come up with myself,” says Catriona, “the dark blue one.” The Garden of Clocks What fraction of each circle is shaded? (The 12 dots are equally spaced the only point used inside the circle is the centre.) And don’t say the Surgeon General didn’t warn you. She even indulged my curiosity and admiration with an interview (see the bottom of the post).Įnjoy. She agreed to let me brainfish you folks by sharing 20 of her favorites. Each of her gorgeously tricksy problems can swallow an hour in a single bite. I was immediately drawn in: they’re so tactile, so handcrafted, so ripe for solving. I came across Catriona Shearer‘s math puzzles on Twitter a few months ago. SIDE EFFECTS CAN INCLUDE LOST AFTERNOONS, HAIR PULLED OUT IN CLUMPS, AND EXCLAMATIONS OF “OHHHHHHH, THAT’S HOW YOU DO IT” SO LOUD THEY CAN DAMAGE WINDOWS. SURGEON GENERAL’S WARNING: BEWARE THESE PUZZLES.
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