For many years I have been writing various texts on geometric art – Chinese lattices, Islamic geometric ornaments, Gothic tracery, Byzantine art, etc. For many years all these documents were scattered on my computers – never organized in any way. Finally, on December 10th I decided to put all of them in one place and keep them organized in some way(s). So, here we are them. Each document has a form of a sketch – a loose form that can be considered as a starting point to further investigations, expansions and modifications. My sketches are not formal mathematical documents with definitions, lemmas and theorems. I avoid as much as possible all mathematical formalism.
Each document posted here deals with a particular topic and usually contains a bit of theory as well as a number of examples. Most of these examples are in fact a step-by-step tutorials. One can use any of these documents as a resource for teaching geometry, geometry and art, for workshops or presentations, provided that the authors name will be not removed and link to the Symmetrica blog will be clearly displayed.
Finally, let me to explain the name of this blog. The name Symmetrica is derived from the word symmetry. As we all know symmetries are the most frequent features of many artistic creations. We see them in Islamic art, Gothic tracery, Chinese art, Byzantine art, etc. Symmetries are also one of the main topics in modern geometry. In this blog we will frequently deal with symmetries, polygons, and many other objects from geometry applied to art and architecture.
This blog was started on December 10th, 2014
New York Institute of Technology
College of Arts & Sciences
Abu Dhabi campus
United Arab Emirates