# Intersection of a Cube with two planes and resulting polyhedron

Hi,

I am new to sage and trying to solve a problem where I have two planes cutting a cube. How can I find the resulting polytope/polyhedron as a result of this cut.

```
cube = polytopes.n_cube(3)
cube.Hrepresentation()
plane1 = Polyhedron(eqns=[(0,1,0,0)])
plane2 = Polyhedron(eqns=[(1,0,0,-1)])
```

Please also tell me that what is meant by `eqns=[(0,1,0,0)]`

in sage? what equality it represent? similarly `eqns=[(1,0,0,-1)]`

?

Thanks

The last example in the documentation might be useful to understand what `eqns` means. http://x0.no/apde