Exploring The Mandelbrot Set In Real Time

The Mandelbrot set – the fractal ‘snowman turned on its side’ seen above – has graced the covers of magazines, journals, and has even been exhibited in art galleries. An impressive feat for what is nothing more than a mathematical function, and has become something of an obsession for [Chiaki Nakajima].

Even on modern computers, generating an image of a portion of the Mandelbrot set takes a good bit of time. When [Chiaki] discovered this fractal in the mid-1980s, the computers of the day took hours to generate a single, low-resolution image. Real-time zooming and scrolling was impossible but [Chiaki] made the best of what he had on hand and built Pyxis, a Mandelbrot set generator made entirely out of TTL logic chips (Google Translate here).

The original Pyxis connected to a desktop computer via a breakout box. while a special program toggled the bits and registers inside the Pyxis to generate pictures of the Mandelbrot set a thousand times faster than the CPUs of the day could muster.

Time marches on, and the original logic chip Pyxis is can be easily surpassed by even the slowest netbooks. There is, however, another way to build a hardware Mandelbrot set generator: FPGAs.

A few years ago, [Chiaki] began work on the Pyxis2010 (translation), an FPGA-based Mandelbrot set generator able to dynamically zoom and pan around the world’s most popular fractal. Built around an Altera Cyclone III FPGA he picked up from Digikey for $600 (no, not a dev board, just a bare chip), [Chiaki] began deadbugging his circuit directly onto the pins of the hugely expensive FPGA. A man with a steady hand and no fear if there ever was one.

Instead of connecting his Mandelbrot generator to a computer and using it as a co-processor, [Chiaki] decided he wanted something more portable. He found an old Sony PSP, removed the LCD screen, and integrated it into his circuit. After a careful bit of dremeling and fabrication, [Chiaki] had a hand-held Mandelbrot generator that is able to display images of the world’s most famous fractal faster than any desktop computer.

It goes without saying this build is incredible. The technical skill to build an insanely fast Mandelbrot generator on an FPGA is astonishing, but basing it off a logic-chip based build reaches into the realm of godliness. You can check out a video of this amazing build after the break.

Props to [Ian Finder] for sending this one in.

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Most Useless Machine: Building Elevator Edition

[Niklas Roy] calls it his Perpetual Energy Wasting Machine, but we know it for what it truly is: a building-sized most useless machine. You’ll remember that a most useless machine is a bobble that uses clever design to turn itself off once you have turned it on. This does the same thing with the elevator of the WRO Art Center in Wroclaw, Poland. The one difference is that it continually turns itself on and off.

He rigged up a pulley system that travels through the stairwell of the building. Whenever the elevator door on the top floor opens it causes the call button on the bottom floor to be pressed. The same thing happens when the elevator reaches the ground floor. But he didn’t stop there. Since the device is just wasting electricity whenever the elevator moves without passengers in it, he added a meter to track the loss. It’s the guts of a printing calculator strapped to the inside of the car. Every time the doors open it adds to the total.

You can see the installation in the video clip after the jump.

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Reverse Engineering Solari Soft Flap Displays

This is a side view of the guts of a one character Solari soft flap module. This is the type of mechanical display used in some transportation hubs that have a flap for each letter. The motor turns the flaps through the alphabet until it gets to the target letter. Recently [Boz] had a client approach him who needed a custom controller for a 20-character soft flap display. (Link fixed in 2022. Thanks Wayback Machine!)

The process started out with a magnifying glass and multimeter which yielded a rather complicated hand-drawn schematic. An optical encoder is used to judge which character is currently displayed. After analyzing the output using an oscilloscope [Boz] designed a PIC based driver board which is controlling the display seen in the clip after the break.

The great thing about these displays is that they don’t use any electricity except when they change letters. This sounds like the predecessor of ePaper and makes us wonder if there are any companies developing high-contrast ePaper to replace soft-flap digits?

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Reproduce 3D Printed Models By Making Your Own Molds

Need fifty copies of that 3D printed whirligig you’re so proud of? It might be faster to just cast copies by using the 3D printed model to make a mold. [Micah] found himself in this situation and managed to cast one copy every 10-12 minutes using the mold seen above.

With the object in hand, you need to find a container which will fit the mold without too much waste. The bottom half of the mold is then filled with modeling clay, a few uniquely shaped objects to act as keys, and the model itself. After getting a good coating of release agent the rest of the mold is filled with a silicone rubber product which is sold for mold making. This creates one half of the mold. After it cures the clay and key objects are removed, everything is sprayed with the release agent, and the other half of the mold is poured.

Now your 3D object can be copied by pouring two-part resins in the to shiny new mold.

Weird Processing Unit Only Has 4 Instructions

[Tomáš], a.k.a. [Frooxius] is playing around with computational theory and processor architectures – a strange hobby in itself, we know – and has created the strangest CPU we’ve ever seen described.

The Weird Processing Unit, or WPU, isn’t designed like the Intel or ARM CPU in your laptop or phone. No, the WPU is a thought experiment in computer design that’s something between being weird for the sake of being weird and throwing stuff at the wall and seeing what sticks.

The WPU only has four instructions, or attoinstructions, to change the state of one of the 64 pins on the computer – set to logical 1, set to logical 0, invert current state, and halt. These instructions are coded with two bits, and the operand (i.e. the wire connected to the computer) is encoded in another six bits.

These 64 wires are divided up into several busses – eight bit address and control busses make up the lowest 16 bits, a 32-bit data bus has a function akin to a register, and a 16-bit ‘Quick aJump bus’ provides the program counter and attocode memory. The highest bit on the WPU is a ‘jump bit’, implemented for unconditional jumps in code.

We’re not even sure the WPU can even be considered a computer. We realize, though, that’s probably not the point; [Tomáš] simply created the WPU to do something out of the ordinary. It’s not meant to be a real, or even useful, CPU; it’s simply a thought experiment to see what is possible by twiddling bits around.

Tip ‘o the hat to [Adam] for sending this one in.

Our First Election Hack That Doesn’t Involve E-ballots

Because some of Hackaday’s readers aren’t from America, let us fill you in on the US election process from the point of view as a voter. Over the next few weeks, political campaigns will dump millions of dollars into advertising, get-out-the-vote and canvassing efforts across the country. The airwaves will broadcast still more ads and political analyses until November 6th, when voters will go to the polls and pull the lever for whoever earned their vote back in July.

Despite how effectively public opinion can be swayed, there are still a lot of problems with the election process in the United States. A first-past-the-post, winner take all system guarantees there will only ever be two realistic choices for voters, but a group of philosophy students (and teachers) may have a solution to this problem.

The idea is fairly simple, really: take dissatisfied members of one party and match them up with dissatisfied members of another party. Normally, these voters would be inclined to vote the party line and not their conscience, for fear of throwing their vote away. After matching these voters up, they make a gentleman’s agreement with each other (either with a handshake or by mailing in their ballots together) to not vote the party line. The balance of power between (D)s and (R)s remains, but third-party candidates get a much-needed shot in the arm.

It’s an interesting idea with far more potential to effect some change than the numerous e-voting hacks that will pop up after the election. Sure, it may not be as effective as other voting systems such as the Condorcet method, but save for elected officials abdicating powers granted to them, this might be the best shot we’ve got.

Rube Goldeberg Mixes In Freerunning; Reminds Us Of Human-sized Game Of Mouse Trap

Yep, those are just some shipping containers being used as dominoes in this very impressive Rube Goldberg machine. The apparatus includes a human element, with freerunners making their way through a whole bunch of obstacles. In fact, if you look closely you’ll see the outline of a man who just jumped from the top of each container to get to the ground. The project is a marketing device for Red Bull, who must have shelled out quite a bit for the setup. We’ve embedded the video after the break where you’ll see they went all out with the filming of the device.

To tell you the truth we kind of wish that a Rube-Goldberg build had been the goal of this year’s Redbull Creation Contest. It would have been all but impossible to go this big, but some of the stages (like a suspended bath tub slowly draining its reservoir of water) would have been easy to make happen. Well, there’s always next year!

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