On gnomons

Authors

  • J. M. Aarts Delft University, Faculty of Information Theory and Systems, P.O.Box 5301, 2600 GA Delft, Netherlands Author
  • R. J. Fokkink Delft University, Faculty of Information Theory and Systems, P.O.Box 5301, 2600 GA Delft, Netherlands Author

Keywords:

Gnomon, polygon, tesselation, spiral, discontinuous group action

Subjects:

51M99

Abstract

A gnomon is a shape which, when added to a figure, yields a figure that is similar to the original one. Gazalé~[4] conjectured that if the gnomon is a regular polygon and the figure to which it is added is a finite polygon then the gnomon is a triangle or a square. We prove this conjecture to be correct.

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Published

2003-10-15

Issue

Vol. 55 No. 3–4 (2003): Vol. 55, Issue 3–4

Section

Articles

License

Copyright (c) 2003 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.