Pentagonal tiling #tessellations

Another challenge showing up on my desk, compliments of Woodpecker Carving. Hussein posted a beautiful Islamic geometric design, displaying the use of pentagons. But wait I thought, aren’t pentagons impossible to tile using the original seventeen symmetry groups? Or so I thought. I had seen intriguing examples of pentagonal tiles over the years, but I was still obsessed with M.C. Escher type nested shapes – and will always be. Continue reading

A Dozen Cat #tessellations

Lots of reasons to celebrate!

  • A dozen cat tessellations, created between 1988—2018.
  • Post #150 on my tessellation blog.
  • A new year, 2018, year of the dog. Let’s entertain them. What better way to entertain a dog, than dangle a cat in front of it. Just kidding.
  • 10,000 hits on this site, just a few weeks ago.
  • My first tessellation ever, was drawn by hand 30 years past, January 1988.

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Symmetricks / Symétrucs & Tessellations

All this talk about sharing space between characters in a tessellation has made me think of the word “symétruc”, which I coined a few years ago in a discussion with Jeff Weeks, American mathematician and KaleidoPaint app programmer. My original intention was for a word better than the French “pavages”, or “dallages”, which to me aludes to floor tiles, patio stones or asphalt pavement, rather than graphic art. Tessellation can be used in French, I’ve since found out.  Continue reading

Wanna Play Frisbee?, a tessellation by F.Champagne ©2017

Frisbee Dog #Tessellation

This tessellation was done using the Pg symmetry system. Two parallel glide reflections with a few lines snaking from one to the other. In the sketch below, the thicker lines delineate the two characters, the guy and the dog. Not that many lines. The thinner lines add details to the shape. If you want to know an easy way to create this type of nested shape, have a look under the Techniques menu, and choose the symmetry group you would like to use.  Continue reading

Cellphone Zombie 5, Just prior to impact, a tessellation by F.Champagne ©2017

Cellphone Zombie Tessellation #5 – Prior to Impact

This will be my last#cellphonezombie tessellation, I hope. Getting it out of my system. This tessellation is done using the P4g symmetry group – a four point rotation within a mirrored box. Don’t like mirrors in symmetry, it creates a very rigid personage. But in this case, it might suit the occasion, the last fraction of a second, before impact, as the cellphone user realizes that there is something going on in the world around him. Could be a sign post on the sidewalk, a bench, the curb, another zombie, a missing manhole cover (I did watch a lot of Bugs Bunny), a vehicle… you decide! Continue reading