1) Divide a shape into n similar pieces
2) Among n pieces, some or all pieces may be congruent.
3) Turned-over shapes are permitted.
4) Fractal cuts are NOT allowed. Also, each shape must be solidly connected.
Here is a sample problem -- a triangle with a hole. Divide the first triangle into two similar shapes. Divide the second triangle into three similar shapes. If you are stumped, the answer is here.
Michael Reid made a fantastic series of similar
mike1, mike2, mike3, mike4, and mike5.
Divide the above figures into THREE similar shapes.
Divide the above figures into FOUR similar shapes.
[Many thanks, Mine. The below figures are similar puzzles I've
presented.] [Here are solutions to all
puzzles, by michael reid]
Here's a figure discovered by Gwen Roberts. Divide it into 5 similar shapes. It's very hard.
Divide each of these figures into two similar shapes. Answer.
Divide the following figure into five similar shapes. I drew this with Isisdraw(free). Solvers were Juha Saukkola, michael reid, and Juraj Lorinc. I'd be interested in other puzzles of this type, especially when all five shapes are a different size.
Here's a puzzle from Rodolfo Kurchan, editor of Puzzle Fun. The L-tromino is easily divided into four pieces of the same shape. The classic solution is below. Can you find a different solution? Hint: same shape, but different sizes. Answer and solvers.