The Mathematica Journal: Volume 9, Issue 2: Spatial Inversion: Reflective Anamorphograms

Spatial Inversion: Reflective Anamorphograms

Philip W. Kuchel

The British flag (or 'Union Jack') is transformed so that if it is viewed from above with a straight-sided reflective cone placed in its center, the viewer perceives its original form to lie in the plane at the base of the cone. This so-called anamorphic art is readily studied by using the versatile graphics functions of Mathematica.

Notebook

PDF

HTML

Introduction: Inversion of Space and Optical Transforms

Circle Inversion

Reflective Circle Inversion

Reflective Inversion in a Simple Cone

Inverting the Union Jack

About the Author

Philip W. Kuchel is McCaughey Professor of biochemistry at the University of Sydney, where he has been since 1980. He works in the general area of physical biochemistry and makes extensive use of nuclear magnetic resonance (NMR) spectroscopy to study biochemical reactions in cellular systems. His recent book, co-authored with Peter Mulquiney (Modelling Metabolism with Mathematica, (2003) CRC Press, Boca Raton), is an example of the extensive use of Mathematica in his research.

Philip W. Kuchel
School of Molecular and Microbial Biosciences,
University of Sydney, NSW 2006, Australia
p.kuchel@mmb.usyd.edu.au