Constructing Drawings of Impossible Figures with Axonometric Blocks and Pseudo-3D Manipulations

Tiffany Inglis
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 159–166


Impossible figures are found in graphical designs, mathematical art, and puzzle games. There are various techniques for constructing these figures both in 2D and 3D, but most involve tricks that are not easily generalizable. We describe a simple framework that uses axonometric blocks for construction and permits pseudo-3D manipulations even though the figure may not have a real 3D counterpart. We use this framework to create impossible figures with complex structures and decorative patterns.