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

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Reference

Tiffany Inglis: Constructing Drawings of Impossible Figures with Axonometric Blocks and Pseudo-3D Manipulations. In: Bridges 2014. Pages 159–166

DOI

Abstract

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.

Extended Abstract

Bibtex

Used References

[1] Bruno Ernst. Impossible Worlds: 2 in 1 Adventures with Impossible Objects (Evergreen Series). Evergreen, 2006.

[2] J. F. Foley, A. van Dam, S. K. Feiner, and J. F. Hughes. Computer Graphics: Principles and Practice. Addison-Wesley, 1990.

[3] B. Gillam. Even a Possible Figure Can Look Impossible! Perception, 8(2):229–232, 1979.

[4] Zenon Kulpa. Putting Order in the Impossible. Perception, 16(2):201–214, 1987.

[5] S. Owada and J. Fujiki. DynaFusion: a modelling system for interactive impossible objects. In Proceedings of the 6th International Symposium on Non-photorealistic Animation and Rendering, pages 65–68. ACM, 2008.

[6] L. S. Penrose and R. Penrose. Impossible Objects: A Special Type of Visual Illusion. British Journal of Psychology, 49(1):31– 33, Feb. 1958.

[7] Al Seckel. Masters of Deception: Escher, Dali & the Artists of Optical Illusion. Sterling Publishing Co., Inc., July 2004.


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Full Text

http://archive.bridgesmathart.org/2014/bridges2014-159.pdf

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http://archive.bridgesmathart.org/2014/bridges2014-159.html