This is the tutorial about how to model the Penrose triangle optical illusion and render the necessary elements for its composition

Animating The Penrose Triangle In Houdini

The Penrose Triangle is an impossible figure but it depicts an object which could not possibly exist  It is impossible for the Impossible Triangle to exist because in order for it to exist rules of Euclidean geometry would have to be violated.

Node Flow Pedro Alpiarça walks through How to Model & Animate the Optical Illusion of the Penrose Triangle in Houdini. you can also download and check the scene file