Pentagonal tiling #tessellations, Part 2

My Pentagon Challenge is keeping  me busy. I am plowing my way through all of the pentagonal tiling types. Quite a few of them are built within either a perfect hexagon, or one that has been distorted beyond recognition. I am finding some interesting rules of symmetry I had not yet encountered. Wrapping my noggin around new concepts. Many of these symmetry types are skew-able, not only scale-able. Also, many of the anchor point for division lines inside hexagons are variable in their location, as long as the variable is kept constant for each pentagonal unit. Continue reading

Pentagonal tiling #tessellations, Part 1

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.

Continue reading

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

#Tessellation prints, “Dead or Alive” art form

The size of the audience for this type of art-form is microscopically small. When you start talking about your tessellation passion, someone inevitably says, “Ah ya you do that stuff”. From decades ago, “oh ya, I remember your drawings”. Other than family and friends putting up with your gushing obsession, you’re lucky to have a handful of patrons. Math teachers, grade school kids, and a few geometry nerds don’t constitute a large client base, lol. Continue reading