# Playing with a strange polyhedron

Geometry Level 3

Suppouse you have the following polyhedron:

• It has 12 faces
• All its faces are isosceles triangles
• All its edges has length $$x$$ or $$y$$
• In each vertex you can find $$3$$ or $$6$$ edges
• All dihedral angles are equal

Find $$\cfrac{x}{y}$$