Problems that involve partitioning a geometric figure into smaller pieces with certain conditions on them (equal area, equal shape, possible to be rearranged into another given figure, etc.)
Questions tagged [dissection]
62 questions
5
votes
1 answer
Cut a disk into $N$ pieces to best pack into a square
I have a 3d printer with a square boundary. I'd like to print something with a circular base. It occured to me that I could print a circle with a diameter bigger than the width of my square if I broke it into semicircles.
If you are happy to print…
PaulMurrayCbr
- 193
2
votes
0 answers
Geometric dissection theory
Today, i realized that one way to prove the Pythagorean Theorem is to dissect the given right-angled triangle into 2 triangles similar to it, and apply well-known properties of ratios of areas.
So this fundamental theorem can be viewed as a…
exp8j
- 587