Impossible Illusory Triangle

Christopher Tyler
Smith-Kettlewell Institute, USA

Begin with a three-line figure resembling three chopsticks arranged in a triangle. A wave of a magic wand behind it reveals the structure of a solid triangular object existing only in the way that it dynamically occludes the waving wand. Each part of the object makes sense on its own, but they cannot integrate into a single coherent object because each corner wants to be in front of the other two – a profound 3D spatial intransitivity characteristic of the classic Penrose impossible triangle. The perceived 3D figure generated in this way is simultaneously both illusory and impossible.

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