**outstanding cuttings of a cube**

__equilateral triangle__: by choosing the vertices on three edges stemming from a common vertex S and equidistant from S

__rectangle__: for example by using a plane going through two opposite edges

__rhombus__: for example by using a plane going through two opposite vertices S and S' and the midpoints of two opposite edges going neither through S nor through S'

__square__: for example by using a plane parallel to two faces

__regular pentagon__: impossible! the five sides belong to five of the cube's faces, thus to opposite faces; the pentagon has then two pairs of parallel sides

__regular hexagon__: the vertices are the midpoints of the six edges not going through two opposite vertices S and S'