I made this a few years ago. I am posting it today in honour of Sir Roger Penrose’s birthday.

I survived my talk for and in the process learned something about how to use Zoom and Keynote.

I did a lot of editing in for an brief animation to use in Keynote. I thought that I might as well make a GIF out of it too.

I don’t think that I showed you guys this.

I am pleased and honoured to have a short paper in the 2022 Bridges Conference Proceedings. You may find some similarities to my paper from last year 😁.

The rest of the 2022 papers can be found here: archive.bridgesmathart.org/202

Posted 3 years ago on Twitter.

Can you tell how these pictures differ?

How do the differences affect how they are perceived by the viewer?

This is a link to a Twitter Moment that I set up 4 years ago about my investigations related to “The Creature” (which itself came into being more than 3 decades ago).

Something from a long time ago that I found again 4 years ago

Here you may catch a hint of the 2n-gons rotating to form this 2n-fold rosette

Does this look like a to you? Or could it be a of trapezoids and triangles?

An 8-fold pattern using the same basic idea, but with 2π/24- instead.

Another squiggle picture, this one using .

This is called “Radial Sector Annulus”

"Creatures of the Seven Seas": The creatures depicted here are constructed from heptagons, rings of heptagons, and heptagon squiggles. In some cases, they appear to be using patterns of shading to conceal their true structure :)

I made this in 2018 and it was shown at the JMM in 2019.

More squiggle art.

This one involves , which I got by finding a way to apply my squiggle algorithm (mathstodon.xyz/@HypercubicPeg/ ) to .

It is a variation on the piece “Deception in the Shadows” which was shown at Bridges a few years ago.

This clip is a bit more peaceful than that chaotic-looking one that I posted a couple of days ago 🙂.

This was something that I was playing with before doing the stuff in the last few posts.

It also uses the same type of groupings of 36°-72°-72° triangles.

This is a picture of the frames of the gif in the previous post superimposed.

Here is a sequence of shapes made by alternating n 36° wedges with n+1 wedges

A related picture using different colours and showing more levels.

Some related to 36° wedges.

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