These would make excellent AMC problems. Visually pleasing diagrams, nontrivial uses of similarity, many problems having a “nice” and a “brute-force” solution–all of these fit right in.
There are a few problems where I wish they'd be clearer about what the number labels mean. Areas? Edge lengths? They look like they're labeling areas, but I assume that figuring out what the numbers mean isn't intended to be part of the puzzle.
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[ 3.8 ms ] story [ 31.3 ms ] threadToppled square: https://twitter.com/Cshearer41/status/1026837809716518912
#3 was particularly elegant, once I saw the trick. I got x=5 for it.
Apostol, Mnatsakanian: New Horizons in Geometry : https://www.amazon.com/Horizons-Geometry-Dolciani-Mathematic...
See also: https://en.wikipedia.org/wiki/Visual_calculus
There are a few problems where I wish they'd be clearer about what the number labels mean. Areas? Edge lengths? They look like they're labeling areas, but I assume that figuring out what the numbers mean isn't intended to be part of the puzzle.