Pentagon, kite and trapezium model

Curiously, it seems the model cannot be put together in an orderly fashion.  It is basically two trapeziums and one kite surrounded by regular pentagons.

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Shape of things…

These images have come about, after I sent an email to Frank Buss (who I had never heard of previously) as I knew he had an interest in 1D cellular automata.

In no time (and to my surprise) he sent me a link to a program he had put together in Javascript to create 16 random rules at a time. I then asked if it were possible to adapt the software to include a variation button.

Frank implemented this brilliantly. This makes it so much easier and quicker to find new interesting patterns.  Thank you Frank.

1D Life Pattern Rules OK

I have been using Mirek Wójtowicz’s brilliant Mcell program, on and off for many a year now, creating hundreds of life patterns in the process.  Below is a random selection of the more interesting (and often surprising) ones I have discovered.

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w69

v132a

c72b

c73e

c126a

c102a

mcell-c147a

mcell-c112

c68

v41

A couple of things to note – images wrap left and right and are in fact, negatives (pixels white out of black).

Pulse tiling

This was my attempt at a radial tiling.  I ended up with a curious ‘pulse’ or ‘shift’ in the pattern, causing a ripple effect, that can only repeat along one axis.  This is yet be fully understood.
ds-tiling5
 Below is another larger motif I made up.  It can also be interspersed with modules.

ds-tiling4ds-tiling4a

A special thank you to Jaap Scherphuis for his invaluable input and to David Bailey for helping early on.