Quilt design by Lisbeth G. Clemens What are Penrose tiles? The British physicist and mathematician, Roger Penrose developed a very precise method of tiling. The tiling is comprised of two rhombi, one with angles of 36 and 144 degrees (fig. A) and one with angles of 72 and 108 degrees (fig. B).  This tiling method has primarily been used for architectural decorations...but because of it wonderful geometric lines someone has made a quilt from them! Why am I not surprised? LOL I know enough math to draw the blocks, but please don't ask me for details! Cathinke van Dijk challenged me to draw this one! The quilt I recreated in EQ above is based on the grid found on this page: http://www.math.mcgill.ca/rags/PenroseQuilt.html I take absolutely NO credit for the design, I do not plan to make it, I just was enjoying the challenge of drawing it in EQ. I will not be doing an in depth lesson for drawing this quilt. But I'll give you a few very brief details to get you started... First, I drew a decagon (ten sides) in EasyDraw by drawing four arcs to make a circle and then partitioned each arc in 5. I had to play around with the lines quite a bit to find the correct design angles that were used. Once I had the basic shapes correct in EasyDraw, I copied the block and then pasted it in the Pieced layer of a new Overlaid block. I then carefully traced the main shapes of the EasyDraw block in the Appliqué layer. (I used the Advanced drawing features -- the Auto Align feature was a definite PLUS for this!) After that it was a matter of cloning and rotating the shapes (going back and forth between 36 degrees and 72 degrees). So the quilt above is actually just an appliqué block! The two basic shapes below
that I used are symmetrical divisions of the two Penrose tiles above:
Here are some links if you
want to read more about Penrose tiling:
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