Cellular Automata Explorer

Continuing my cellular automata theme, I’ve just finished a device to allow some hands on play, and exploration of the space of 1D cellular automata.

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I spent a while thinking on the interface, and settled on the row of switches to set the ‘rule’ for children of each possible 3 parent combination.

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The gorgeous jewelled indicators were taken from the World’s Largest Electronics Collection, which I picked up previously and had to make an elaborate set of shelves to hold.

I’ve left space for a 7 segment display on the right hand side, to show the rule number in Wolfram Notation. Sadly I don’t have any in my parts bin just yet, so it’ll stay blank for a while.

I spent ages playing with various diffusers for the LED matrix, and settled on this combination of rice paper with a clear polypropelene layer for protection.

The lasercut mask underneath is rectangular, but with rounded edges. I wanted something to show the connectivity in the simulation was much stronger in the horizontal (“Space”) direction than in the vertical (“Time”) direction.

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The colour matching of the LEDs looks much worse in this photo than in real life. Also occasionally these photo will ‘lie’ as to whether a single pixel was lit or not, since the LEDs are PWM’d to get brightness control.

Down the bottom left is a switch to specify whether the sim should start with a random configuration, or with a single centre pixel.

There’s three buttons to control the sim, Clear, Step (takes a single step) and Auto (steps continuously while held).

It’s rather satisfying to play with different rules and see how various patterns emerge:

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Rule 30 in action

Files are here for anyone that wants them: http://www.thingiverse.com/thing:1788244

It uses a pair of LED matrixes from Jaycar: http://www.jaycar.com.au/white-led-dot-matrix-display-for-arduino/p/XC4622

 

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Cellular Automata PDF Worksheets

I’m quite fond of cellular automata, in particular the simple 1D cellular automata.

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I was playing around, drawing them on graph paper, when I decided to make something a bit more easy for newcomers to see how it worked, and how to make their own.

By the way, if these sorts of patterns seem familar, you’re right:

(https://commons.wikimedia.org/wiki/File:Textile_cone.JPG)

Conus Textile shell – (photo taken shortly before animal declared bankrupcy over royalties to Stephen Wolfram)

 

There’s a space for the 8 possible cases, and for you to write the rule in Wolfram notation, and they layout hopefully makes it obvious how the two are related.

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Circular version (PDF) — cellular-automata-practice-sheet-circles-v01

Square version (PDF) — cellular-automata-practice-sheet-v02

I’d suggest starting with something like either:

  • rule 30 – ( 0 0 0 1 1 1 1 0), or 
  • rule 110 – (0 1 1 0 1 1 1 0)

Since they’re regarded to be pretty interesting examples of behavior. (Fun fact, rule 110 has been proven to be Turing complete!)

You can also check out all the examples here: http://mathworld.wolfram.com/ElementaryCellularAutomaton.html

I spent a while playing with having the pattern begin at the bottom, rather than the top. (‘Tree’ vs ‘Mountain’). I liked the growing vertically aspect, but for drawing with a pen I found it difficult to read the lower rows while covering in the cells above them, so I eventually settled on the conventional ‘Mountain’ style.

I was also tempted to make the working area more like a truncated diamond. Since the limited area of the page eventually means getting to a stage where working out the next cell depends on cells that are off the page and unknown. That cell’s daughter is similarly unknown, etc. The result of these forwards and backwards ‘light cones’ looks like a diamond shaped worksheet.

However it started looking weird, and I figured I’d keep it rectangular, and let people figure out about that by themselves🙂

It was also cute to play around with times when a cell was unknown, but would still not affect the daughter’s result. The boundaries of the known automata can be pushed back a little, in that case. Also if you make spot a mistake, you can track how it would affect the daughter rows.

Oh, and I’m sure I’ve made more than one error in my colouring in. No points for correcting me, but if you do use these sheets I’d be happy to share a pic here.🙂

 

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My Coffee Table is a Robot – The Sand Plotter

Apparently I didn’t write this one up already. Here’s a build from a couple of years ago:

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It’s a coffee table with a bed of sand, and underneath is a CNC plaform and a powerful magnet to drag around a stylus and make patterns.

The hardware is pretty straight forward. I bought a coffee table from Ikea and mounted a wooden frame underneath:

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Then mounted the CNC gantry under that: IMG_7311.JPG

I spent a while troubleshooting the motion. Nick and I both made tables previously, and the secret seemed to be having a soft base underneath the sand, and also using a cylindrical disc magnet rather than a ball.

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Spherical magnet made the pattern on the left, and a disc magnet mad the circles on the right

This is to minimize the amount of ‘uphill’ work the magnet has to do. A cylinder is just dragged through the sand horzontally, whereas a sphere tends to jump and skitter irregularly, which is bad for both the smoothness of the pattern, and how pleasing the sound is to hear.

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It has a glass top, but we removed it some of the photos.

Here’s it in the Powerhouse Museum, briefly brought in for a photoshoot before Maker Faire a couple of years ago. That’s right, something I made belongs in a museum😀

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Standing Desk & Aluminium Extrusion

I recently got a bunch of aluminium extrusion so that I can rebuild the Turquoisebot in a more accessible way.

 

I’ve used OpenBeam before, but not 8020 style extrusion. As a quick test project, I decided to make a standing desk addon for my work table.

 

“Before you cut firewood, sharpen the axe.” 

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I noticed the metal bandsaw was cutting atrociously, so I spent an hour re-aligning it & testing out the tension and perpendicularity.

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Not perfect, but at least the right angle joints didn’t fail the laugh test when I put them together.

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Cutting the lengths

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Completed stock

Some assembly later:

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The completed table

It should be at the right height to have my elbows perpendicular while standing & using the keyboard.

As a construction method, I’m amazingly happy with it. I have an extremely sturdy frame, and it was very quick to put together. Moreover, if I change my mind in the future I can reuse all the parts easily.

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Cause I’m a Rocket Lamp….

 

This was inspired by a pic, of a screenshot, of a photo sent to a friend of mine. No idea where the original came from. (If it’s you I’d love to give you credit).

I couldn’t resist immediately going out and getting a Saturn V kit after dinner, and finished assembling it at 2am. Next day I started on the wiring and assembly of the base. Completely rushed and I’m not going to impress any actual modellers, but hey.

Rocket Lamp

It’s just under 2m tall.

Lights are Neopixels and a quick sketch to make them flicker and flame.

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Edit: There’s been a few people asking for details of construction.

The base is a wood block with steel threaded rod for support. Unfortunately I didn’t have joiners, so had to use two rods and cable tie them together to get the length (Did I mention this was a rush project?)

The cloud material itself is polypropylene pillow stuffing. I went to Kmart and picked up their cheapest pillow that mentioned polypropylene for $5. I have about half left over.

This site here has a much more detailed writeup on making ‘cloud lamps’, which is how I got into this in the first place. http://www.makeuseof.com/tag/build-cloud-lamp-sound-reactive-lightning/

Edit2: Thanks to Reddit user Dschull for this photoshop:

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Restoring an unusual vintage clock display

I had a good find a few months ago when I picked up that rack for holding my time goodies. It’s an old bulb display unit for showing the time.

Before we had LCDs, TFTs, and even LEDs, there were very limited options for displaying information electronically. One way to do it was decatrons, but the tiny neon glow they create is impossible to read from a distance. Mechanical displays are another option, but they are noisy and unreliable.

The solution this manufacturer used, was to make a projector, using an incandescent bulb, photographic mask, projection lens, and frosted glass display:

Bulb display sketch - single v01

Actually it was a bit more complicated, since each display must be able to show multiple possible digits, there were 12 bulbs, 12 masks, 12 lenses per screen.

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Which, for a clock showing HH:MM:SS, means 72 light bulbs to replace.

I didn’t fancy restoring a clock only to have it blow again, so I decided to replace the bulbs with LEDs.

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I played around a bit with the colour temperatures. On the left, the ‘1’ is displayed using the original bulb, on the right the ‘8’ is using a cool-white LED.

I decided that a warm colour was more in the original spirit of the clock, so I did a bulk order of warm white LEDs, and started replacing the bulbs.

In order for the projector to work well, the LED must be in the exact position of the old bulb. I lasercut some jigs to hold the LEDs in place, and glued the wooden pieces into the frame.

Afterwards I ran horizontal wires telegraph-style between the digits, and made a multiplexed setup with common-anodes for each digit.

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I used an arduino with a $5 RTC module as an accurate time source, and programmed it to display on the multiplexed LEDs. (Later I’ll hook it up with the Rubidium atomic standards as the time source, but for now it’s more than adequate).

 

Here’s what the final result looks like:

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I’m very happy with it. The crispness of the digits is something that’s almost unheard of with modern displays. Check out the points on the ‘5’, they could take your eye out.

 

 

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Home ‘Supercomputer’ using spare raspberry pis

This project was inspired by James, who was inspired by Dave from EEVBLOG:
https://www.eevblog.com/2016/04/22/eevblog-871-find-aliens-with-your-raspberry-pi/

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It’s a lasercut rack to hold all the Raspberry Pis I could get and make them do distributed computing. (Rather than the standard application for a raspberry pi, which is to sit unused on your shelf)

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I was able to find four spare pis at home (see?), and scrounged up another couple from friends. The tricky part was making a caddy that could hold all of the different models (some of which lack screw holes) and allow for easy removal, and also making sure all the connectors were exposed while in the rack.

A network switch is bolted to the back, which avoids too much mess with cables. There’s a separate power switch for each unit, so that the whole cluster doesn’t have to be taken down to change one board.

After playing around with spreadsheets and running some tests, I’m of the opinion that this cluster running all year couldn’t match my macbook running full tilt for a few weeks. However per watt it’s actually not that bad. Dave goes into the numbers much more. 

Files are up on Thingiverse if anyone wants to make their own:

http://www.thingiverse.com/thing:1566301

 

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