Cube and its major transformation
We take from the box this model and first of allwe straighten AC and A1C1 and we obtain a cube.
All types of a quadrangular prism are turned out of it, for example, the inclined plane. We evenly increase the sides ABCD; we obtain a truncated rectangular pyramid.
This pyramid can easily be turned into a quadrangular pyramid if to increase AA1 as far as that A1B1B, in order A1C1C and A1D1D became straight lines. The various sections are visible in this modification of a quadrangular pyramid.
Each model can be modified into the previous model. We leave receiving from a cube a triangular pyramid to you. We receive from the cube a regular hexagonal pyramid with the top A or with the top C1. We hold either from the top A or C1. We hold either from top A or C1 and we pull the edges emerging from these tops until the hexagonal pyramid is formed.
It is very interesting when a regular octagon is turned out from a cube.