Yes, another Dog #tessellation (taking a break from pentagons)

Dog Tessellation

There are three of them living under this ruff. They own the place. Yahoos when they are not gate guardians. Named this one Bibi, possibly for bierbelly. It is based in symmetry group P3 and the pentagons of Type 3, a hexagon split three ways. It’s a stretch from its original lines, but that is indeed where I started. Quite a simple tessellation with only a few lines. And a favourite tail twirl around a three-way rotation point – I’ve done that one quite a few times. Continue reading

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

Mountain Biker Tessellation ©2017 F.Champagne

Mountain Biker Tessellation

One Tessellation a Day, for 30 Days! Ya, right.

I thought maybe it would be a cool idea to challenge myself to do a tessellation a day for 30 days. Maybe in a few decades when my teacup is not overflowing.

I must point out the difference between a tessellation and a pattern, as in cloth, tiles or wallpaper. They both use the same symmetry rules for filling space. But in the case of tessellations, your aim is to reduce negative space, empty areas, to zero. Where every single square inch is used up by a recognizable figure. Continue reading