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Matías Gárate edited this page Jul 14, 2020 · 12 revisions

Welcome to the Paradox Toolkit wiki! The Blender Addon to create impossible geometry illustrations in Blender.

Here you will find the documentation on how to use the addon. The wiki includes a quickstart guide to impossible geometry, the list of impossible geometry figures, and the tools to work with impossible geometry.

This addon was greatly inspired by the works of M.C. Escher, Oskar Reutersvard, Penrose & Penrose (1958), and by Monument Valley, from UsTwoGames, and I hope you can use it to create amazing illustrations.


User Guide

To begin learn how to install the addon in Blender and the quickstart guide to create you first impossible geometry render.

Check the functionalities and options included in the Addon:

And go the the Tips and Tricks section to work your way through the world of impossible geometry. Coming soon!


Glossary

Reading this wiki you may find some unfamiliar terms. Here I provide glossary of common terms that we can find when working with impossible geometry.

  • Optical Illusion: A visual disagreement between our perception and reality.
  • Impossible Geometry: Geometrical objects that appear to be continuous from a certain perspective angle, but that could not be constructed as such in the real world. Therefore, impossible geometry is a type of optical illusion (e.g. Escher's Waterfall, Penrose Triangle, etc).
  • Axonometric Projection: A projection in which the light rays coming into the camera are all parallel. For effects of this addon, it refers to an Orthographic camera for which the rotation is restricted to the local X and Z axis.
  • Isometric Projection: A sub-type of Axonometric Projection in which the camera (X,Y,Z) rotation is set to (54.736°, 0°, 45°). This projection has the property that moving 1 unit in the +X direction, 1 unit in +Y direction, and 1 unit in -Z direction, leads back to the starting point from the camera perspective.
  • Illusion Alignment: Relative angle between the camera and the impossible object required to see the optical illusion. If an object has an Isometric illusion alignment, it means that it requires an isometric camera to be seen. If the object is rotated, the camera must be rotated as well to preserve their relative alignment.
  • Illusion Point: Group of vertex in an impossible geometry object that appear to be continuous from the camera perspective, but are separated in the 3D space.