A paper square with sidelength $2$ is given. From this square, can we cut out a $12$-gon having all sidelengths equal to $1$ and all angles divisible by $45^\circ$?
Source: Sharygin Geometry Olympiad 2014 - Problem 2
Tags: geometry unsolved, geometry
A paper square with sidelength $2$ is given. From this square, can we cut out a $12$-gon having all sidelengths equal to $1$ and all angles divisible by $45^\circ$?