# Square in a Regular Tetrahedron

- Author:
- Judah L Schwartz

- Topic:
- Square

Given a block of cheese in the shape of a regular tetrahedron.
Give a symmetry argument for why it is possible to make a single cut
through the block of cheese such that the two cut faces are square.
Is there a way to make a single cut so that the two cut faces are equilateral triangles?
If yes, how? If no, why not?