Triangular prism and it's transformation

We get this model from the box; it is in a set separately from all other models. We close all sides. Then we pull A1BA1C, and we obtain a regular triangular prism.

Opening the AB, AC and BC we obtain the truncated pyramid. Further, extending BB1 until the B₁A₁, A, B₁, C₁, C become straight lines, we obtain a triangular pyramid ABCB1, where different sections of a triangular pyramid are visible. This model is of interest that the simple turning from side to side generates more and more new pyramids with various sections.

We hold from top B1 and pull in order to obtain a pentagonal pyramid. All other sides are B₁A, B₁B, B₁C₁, B₁C₁ and B₁A₁. 






We increase the sides of the quadrangle ABCA₁, turning it into quadrate. We compress the C₁B₁ till the end and move upwards and inwards the top C₁ and bring it up to the osculation with CA. As a result we obtain a tetragonal pyramid with the height B₁C₁. For receiving a pentagonal pyramid again we close all sides.

The triangular prism turns into the regular hexagon, and you can obtain it yourself

To obtain an octahedron from this model (regular octahedron), we do the following. Strongly holding from the top C and twisting CA₁ midstream completely separating from the top C. In the same way we separate CA₁ from A₁. Then CA₁ is strengthened in tops A and C1. Closing all sides, we obtain an octahedron.

Share this post