Have you ever noticed patterns in the brickwork of the pavement as you’re walking into town? Or in the wallpaper at your grandparents’ house? Or in the quilt on your bed? Most people have at some p…

This is how you know you're in a mathematician's house. The bathroom floor is tiled with a Penrose tiling. (The Penrose tiling has two distinct features--first, that it's aperiodic. Second, that it's made with two basic shapes.) (There is actually one small error in this tiling. Can you spot the error?)

An exhibit of mathematical art reveals the aesthetic side of math.

I just finished another Penrose tile quilt: First - Credit where it's due... If you do a Google Image search on 'Penrose tile quilt' the top three results will be this awesome quilt: This lovely quilt was made by Serena Mylchreest nearly 20 years ago. This obviously was an inspiration for my design. The element of the Mylchreest design that I borrowed is the way the rhombi are divided in half (fat rhombi divided lengthwise, and the thin rhombi split on the narrow diagonal) so it is tiled with triangles instead of rhombi. Then the critical design element is to select colors of different values for the 'light half' and 'dark half' of the rhombi to create the nifty 3-D effect. I was pleased with the way my last Penrose tile quilt turned out when I first came up with the notion to machine piece the patches before I English paper pieced the rhombi. So I played around with some other machine piecable patterns and this was one of the results. When I designed the layout, I wanted to make a Penrose tiling that was not radially symmetrical through the center like my last quilt (and most Penrose tile quilts). I find their quasi-periodic nature one of the more mind bending elements of Penrose tilings, and I feel this is not obvious when it is radially symmetrical. I began with this simple layout: The yellow dots indicate the eventual location of the yellow stars. The black square roughly indicates the final border of the quilt. Then I deflate the rhombi 3 levels thusly: I explain inflation/deflation of Penrose tiles more thoroughly in this post. After removing the superfluous rhombi, we're left with this base layout: Then we add these machine piece rhombi: One last design decision I made was to inflate just five of the rhombi to make the one large star. Two other designs I came up with while playing with machine-pieced rhombi:

Married couple Pat Ashforth and Steve Plummer have been knitting and crocheting mathematical images and objects fore more than two decades

I've been a fan of Yerpe's extremely cool -- one might say icily cool -- work since I first saw it in 2009. For me, a lot of what makes art good is the degree of interesting thinking I have in response to viewing it.

Penrose tiling.

I googled Inkscape Knots to see what others are doing with that feature and found this blogger/youtuber that uses Inkscape to make designs for die cutter machines. I don't know anything about die cutters, but must be used for crafts, scrapbooks, greeting cards, etc. She has lots of interesting ideas using Inkscape's Interpolate, Tiled Clones, Live Path Effects, Outset, Inset/Outset Halo and more. She uses Trace, Clip, Pattern to eliminate background on a bitmap image. (I probably would have used the Bezier Pen.) She uses Interpolate Sub-paths to make Rhinestone designs. The circles don't get distorted as they move along the path. But again, I noticed some odd behavior with the Path Effect Editor where it snaps things to the Top Left Page Border. So if things disappear off the screen, look there for your results. She works on fonts and dingbats too. Shows how to edit and color them, make them thicker. Carolyn from Brisbane, Australia: Blogger YouTube

By George Hart for the Museum of Mathematics The traditional craft of quilting can be used to make many mathematical forms. While quilters have always

Medieval Islamic artisans developed a process for creating elaborate, nonrepeating patterns now associated with Penrose tiles.

Tessellation with a special subset of cyclic quadrilaterals, inspired by Christopher Danielson's kite tiles.

In Ste Marie-aux-Mines France, was the presentation of the new Quiltmania book of Willyne Hammerstein. the expo shows quilts from the book. www.quiltmania.com