Your Reflections: News from ISA members

Contact Us! Send your news and information on your symmetry-related activities to!



The first concert of “genetic music” on the basis of genetic musical tunings was held on 4 June 2015 in Vienna (Austria) in the “Festsaal” of the Vienna University of Technology on the conference IS4IS. Bio-mathematical basis of these tunings has been developed in the Russian Academy of Sciences in course of studying the genetic coding of living matter by means of DNA molecules.


The video presents fragments of the concert of genetic music here.




From International Symmetry Association’s member Veryan Weston.



Artlandia symmetry-related resources (free) and symmetry-related software (commercial):

Artlandia glossary of pattern design
Pattern Central
Tutorial: “The Counterchange Symmetries for the Mathematically Inclined”
Artlandia SymmetryWorks (Adobe Illustrator plug-in)

Dick Termes is in the news again!

This time for his newest creation, an instructional DVD, Basic Elements of Drawing. South Dakota Public Broadcasting’s Charles Michael Ray interviewed Dick about the who’s, what’s and why’s that motivated this new, non-globular creation. Listen in as Dick explains why we all need to learn to draw and just exactly how to do just that. Listen to it here!

Tom Johnson: Other Harmony

Beyond Tonal and Atonal. Editions 75 & Two-Eighteen Press; Second Printing edition, 2014.

Kostov, R. I. 2014. Crystallography of the polyhedron, enantiomorphism and a five-fold symmetry code in Durer’s “Melencolia I”

Vth National Crystallographic Symposium, NCS-2014, 25-27 September 2014, Sofia, Bulgaria, Program and Abstracts, 62.

Kostov, R. I. 2014. Pentagon-dodecahedral and icosahedral artifacts in antiquity: 3D five-fold symmetry applied to cultural heritage

Annual of the University of Mining and Geology “St. Ivan Rilski”, Vol. 57, Part IV, Humanitarian and Economic Sciences, 23-27.

Artworks by Jérémie Brunet

This video is a panorama of the Mandelbox parameter space made by Jérémie Brunet, a French fractal artist. The Mandelbox is a 3 dimensional fractal object discovered in 2010 by Tom Lowe and named after the father of fractal geometry Benoit Mandebrot. What we see here is actually a fixed cut in the middle of the Mandelbox, which has a cubic shape in general. This object exhibits the natural symmetries of a cube, but the iterated function that is used to generate it also uses the concept of symmetries intensely, most notably via the usage of a “folding” function that basically mirrors a point through different folding planes before going to the next iteration. This is translated graphically in the animation by the kaleidoscopic effects that can be seen around the 4 corners. For more details on the Mandelbox formula, please visit Tom Lowe’s website.

Leave a Reply

Your email address will not be published. Required fields are marked *