Name: The Impossible Triangle
CAD: AutoDesk Inventor

Description:

This 3-D project is called an impossible triangle. This part exists, but is made to look like physicist Roger Penrose's impossible triangle when viewed from a certain angle. The model can be looked at so that the 2 disjoint ends appear to overlap. This produces an optical illusion that plays with perspective.Other impossible triangle illusions have been made in a cumbersome way, requiring one of the ends to have a unique cut which is difficult to reproduce. My design uses a slight variation on the impossible triangle, allowing for no extra cuts. The end of the disconnected bar can be position so it completely covers the end of the bar underneath.

My impossible triangle is assembled from 9 units. The units are 6 sided shapes made from rhombuses whose larger angle is the tetrahedral angle. (109.4712206... degrees) In addition these odd units can be used to make other interesting shapes, including a model of a tesseract.