A Penrose pentagram

hofstadter.jpg

A classic text although that cover art always looks a little off. I’m sure MC Escher would have insisted on the triangle being equilateral.

Most people are familiar with the Penrose triangle by sight even if they don’t know who “Penrose” was. (Psychiatrist Lionel, together with his son, Roger, the celebrated mathematician and physicist.) I’ve been playing with these things for years, most notably on the cover art I created for Zones by Hawkwind, although the triangle also formed the basis for the robot pathways I created a couple of years ago when illustrating Bruce Sterling’s Robot Artists and Black Swans.

pentagram.jpg

Earlier this week it occurred to me that I hadn’t tried applying the Penrose effect to a pentagram. For a fleeting moment I thought the idea might be a novel one but a quick web search disabused me of this; plenty of similar examples exist already. Here it is anyway, after 20 minutes or so in Illustrator. I’m tempted to try a few more things like this when I have the time. Many possibilities present themselves.

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