What is required is a more in-depth, extensive account of the intricacies; of which the following essays sets out in detail the how's and why's. By so doing, I hope to encourage further development of the subject, having laid out solid foundations from which to proceed. Essentially, people who approach the subject have to start from scratch, in effect the equivalent of reinventing the wheel each time. As I demonstrate, one's mathematical limitations are not a hindrance or barrier in the subject. Not by no means has Escher exhausted the subject, as may have been thought due to inferior examples produced by his (few) successors. For instance, he missed a whole type, of what I consider my own speciality, ‘geometric outlines', whereby the tile is simply awaiting the addition of a motif. Even amongst individual creatures, quality examples exist of those that he missed, for example the rabbits of Makato Nakamura and kangaroos of Bruce Bilney. Developments since the time of Escher have involved the use of the computers in the drawing and design of tessellation. However, again, use of such technology is shown to be unnecessary. Therefore, demonstrably, the field is still open to anyone, whatever their background, who simply has the desire to attempt such things.
It was David Brewster, ‘the father of modern experimental optics’, who founded the science of optical mineralogy and first annotated these patterns. Knowing all too well of the allure of the prismatic figures he discovered during his polarisation experiments he invented the Kaleidoscope in 1816. This most famous of all optical toys encodes the laws and properties of light for amusement, as well the mechanics of symmetry and tessellation. Polariscopes and Conoscopes, the more serious utilitarian siblings of the Kaleidoscope, were the optical devices used to view and annotate the interference figures found in this post.
Essays about Tessellations - Is Your Art "Good enough" …
There are an infinite number of tessellations that can be made of patterns that do not have the same combination of angles at every vertex point. There are also tessellations made of polygons that do not share common edges and vertices. You can learn more by following the links listed in .