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Directed by Robin Lutz, an 85 minute documentary about M.C. Escher. Could be interesting! Keep you posted. Coming out April 12, 2018. Watch the trailer.
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
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
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
A list of M.C. Escher show around the globe, for this year and years past.
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 PenDragon, a dragon tessellation emerging from a pentagonal tessellation. It took a while to complete the final colouring, texturing and shading on these three dragons. They were created using the P3 symmetry system, while I was working through the tiling of pentagons, using the App KaleidoPaint. Continue reading
New word in my vocabulary. Zentangles. Have no idea when this word was invented, but I seem to have been doing something similar since my teen years. Not quite like the three images below as these have a repeating pattern. Continue reading
This one is going to take quite some time to complete. Stay tuned! It started off as an exercise in tessellating pentagons. Not an easy task. It took mathematicians over a 100 years to figure out all of the ways it could be accomplished. Good article about pentagons on the Quanta Magazine website, check it out. Continue reading
I was approached by a student a few months ago — he was writing his dissertation and needed examples to illustrate the seventeen symmetry groups: Continue reading
This Mountain Biker #tessellation drawing was done before Windows 3.1, before the Mac, before iPads! But after the dinosaurs. 1997. It was the inspiration to do a complete periodic drawing covering the plane, rather than a line group as shown below. Sometimes these drawings take time. Tessellation ideas are a dime a dozen — completed artwork is more rare. Continue reading
Lots of reasons to celebrate!
Hey, nice fish. Do you catch and release? Bit of exageration going on in the drawing as well as in reel life. All bent over and stretched out, imitating the size of his catch, same as stretching reality. Elvis hairdoo. All in good fun. Would be cool to have a long sleeve t-shirt with a measuring tape printed from hand to outstretched hand! Continue reading
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