Rubber Ducky tessellation

The Complete Rubber Ducky Collection — 17 tessellations!

The Complete Rubber Ducky Collection: a series of tessellations, seventeen of them, covering the complete range of classic tessellation symmetry groups. All of these rubber ducky tessellations, all seventeen, were crafted and refined, in the space of fourteen days, from May 24, 2021, to the sixth of June. Quite a feat for me. When creativity is in the air sprinkled with intuition, follow the flow and take advantage of it, good things can happen. Where does this topic originate you ask? I have a rubber ducky on the handlebar of my bike. It squeaks and has flashy disco lights.

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Re-Creating M.C. Escher’s Lizard #Tessellation

M.C. Escher’s Lizards are by far the most popular of Escher’s tessellations. It can be seen gracing many multitudes of surfaces, legally or illegally. From tattoos, puzzles, belt buckles, car wraps, flooring or landscaping stones… My initial introduction to tessellations was through redrawing this lizard in its nested shape during a class on crystallography at Carleton U. That was a few decades ago, in 1988. But, as I keep on repeating (no pun), to draw a tessellation or to truly understand the structure behind it are two different things.

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All Seventeen Symmetry Groups Explained

Create a Nested Shape #Tessellation in any Symmetry Group

Create your own tessellation

This list is to help you get started in creating your own nested shape tessellations. I’m not showing you how to create wallpaper patterns with lots of free space in between, but the true, à la M.C. Escher designs. A tessellation of a flat surface is the tiling of a plane using one or more fluid shapes, called tiles, with no overlaps and no gaps. 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

Tessellation Artists around the Globe

Artists

Since M.C. Escher started popularizing “nested shape” tessellations, many artist have dabbled in the field. Some show a passing interest, yet still create with a very deep understanding of the rules of symmetry. Others can’t get enough and create constantly in this medium. Still other artists push the boundaries and explore off-spurs, into fractals, circle limits, non-repeating planes, animation, metamorphosis, pentagonal rules, morphing shapes, platonic solid tessellations, architecture, art shows, consumer products… Continue reading

Fifi at the Salon tessellation by Francine Champagne ©2016

Fifi at the Salon tessellation

This tessellation is built using the Pm symmetry group – two alternating parallel mirrors, without any glides or rotations. Makes for a stacked look to the nested shapes. One vertical mirror down the lady and the other down the dog and shampoo bottle. Always wondered how HairStylist cut their own hair, awkward to cut your own, probably dangerous too. Well, I figured it out. “Let me cut my hair for me”. And it’s always nice to bring Fifi the dog with you to the Salon. What do you think Tina? Continue reading

Notched Louis Cubes tessellation by Francine Champagne ©2015

Other P6m tessellations

Indeed, not my favourite symmetry group. Most nested shapes that try to fit into this system feel constricted, weird, rigid, way too symmetrical. There is barely enough room to create recognisable figures within a sliver of a triangle, 30-60-90 degree (orange shape). And all of this surrounded by 3 mirrors. Ug.  Continue reading