How to Draw Tessellations of the Escher Type by Joseph L. Teeters. Mathematics Teacher April 1974. 307-310
Teeters states in the subtitle and introduction: A short, clear discussion showing how you or your students can create tessellation art
and The writer presents here a technique that has proved useful in creating fundamental regions of the Escher type...
If only! Unfortunately, the article does the exact opposite! It’s unstructured, unclear, overblown, the pictures lack captions/titles and has tessellations appearing without explanation or reference in the text, resulting in a veritable mess. The ‘procedure’ explanation given is unnecessarily convoluted and unclear, and of what it is referring to as well – the unicyclist accompanying it? Indeed, even after looking at this several times since I began doing tessellation, it remains obscure. To try and unravel this is a veritable nightmare. Has anyone actually tried these techniques? Let me know if so.
Critiques:
1. Unicyclist, page 307 A better tessellation. Of its type quite pleasing, in that it does indeed bear a resemblance to a unicyclist, and as it is of a less frequently occurring type of motif (indeed, it is unique), this is worthy of more praise than of more common motifs.
2. St Bernard Dog, page 309 A better tessellation. A reasonable portrayal of a dog is shown, and more specifically of a specific breed as well, with the pleasing factor of a rum barrel beneath the Saint Bernard’s collar adding to the interpretation. However, the position adopted is not a true representation of a sitting dog (if this interpretation is correct), albeit this is masked to some extent by the relative quality of the interior elements.
3. Red Indian with Tomahawk, page 310 A better tessellation. A reasonable portrayal of a Red Indian is shown, and more specifically accompanied by appropriate dress, thereby reinforcing the tessellation. However, there are no instructions as to how Teeters constructed this.
Summary
A distinct dichotomy exists here, in that the instructions are obscure, of no practical use. However, in contrast, the three tessellations are all of relative quality.
Last updated: 29 March 2010 |