Make: Geometry

HEXAGONAL

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6-SIDED

)

CROSS-SECTION

To get a 6-sided cross-section, our plane needs to intersect all six sides of

the cube. That means that the cut needs to go through the top, bottom, and

all four sides. One way to do that is to imagine that you have the cube bal-

anced on one of its vertices, with the plane parallel to the ground.

As you raise the plane above the ground, initially you will have a triangular

cross-section. As you continue to raise the plane parallel to the base of the

cube, though, eventually it will reach the point where it intersects all six

sides. If you start with a cube sitting on one face on a table and rotate it 55

degre ...