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AMS Spring 2023

Watch this 3D Printed Binary Adding Machine in Action

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The binary number system.

The binary number system.

The binary number system is what runs almost all modern digital electronics and is used in several schools of higher mathematics. If you are unfamiliar with binary mathematics, it is a simplified version of decimal math that requires the use of only two numbers, a 1 and a 0. Because it is such a straightforward system it is ideal for almost all modern computers and computation devices. While the modern binary number system was developed way back in 1679, it was based on concepts that date all the way back to ancient Egypt and the I Ching number system from 9th century BC China.

This 3D Printed Binary Adding Machine was designed and printed by Thingiverse user and 3D printing hobbyist Don Schaefer and based on a wooden design developed by a maker named Matthias Wandel. The original wooden machine was based around a simple concept of what Wandel calls a “flipflop” piece that can represent either a 1 or a 0 depending on its positioning. When a marble falls on the right of the flipflop it will stay in place until a second marble falls to the left of the flipflop. A single dropped marble will start a cascading effect that represents how computers use binary numbers to function.3dp_binary_banner

Schaefer decided to design a 3D printable version of the device for educational purposes, with the idea that teachers or students could easily print out their own machine. 3D printing is much easier than wood working, and would allow them to teach the basics of binary counting. He originally used the plans for a wooden version that Wandel posted on his website; however, they were not easily translatable to something that could be 3D printed.

The original wooden Wandel design.

The original wooden Wandel design.

“This quickly became a 3D printing nightmare. I needed to come up with something that maintained basic functionality that was also 3D printer friendly. I knew early on that the goal was 1/2 scale of the wooden version. This meant replacing a marble with a 5/16 steel ball. The steel ball is the only non printable part of this project,” explained Schaefer.

The machine was designed entirely in Solidworks and will need to be 3D printed in almost twenty individual parts. Just the two largest sections of the device alone required about six hours of 3D printing each, with the smaller parts needing several more hours. However, Schaefer included a Simplify3D file for the base assembly that has custom supports that will trim close to an hour off of the job. It will also help prevent the supports from getting on the return ramp, making cleaning and post processing faster.

The design initially included built-in pins on the upper assembly that were intended to hold the flipflop parts in place. Unfortunately, Schaefer discovered that they were far too fragile and easily broke off. He redesigned the assembly and removed the pins, replacing them with a pin that prints separately that can be pushed in from the back. Thankfully the new pin is much more durable and holds up to the constant motion of the flipflops quite well.

Here is a brief demonstration video of Schaefer’s 3D printed version of the device:

And here is a video demonstration of the original wooden Wandel design:

As each flipflop moves back and forth they demonstrate binary bits and bytes in physical form, with the steel balls registering the sum of all the values that are being added together. While his first version glitched slightly the first time that it added up to 32, the machine worked perfectly with each subsequent use. Schaefer is still developing his 3D Printed Binary Adding Machine and intends on having his second version of the device ready by the end of September.

You can download the digital files for your own machine over on Thingiverse, and learn more about all of Matthias Wandel’s cool woodworking projects and marble machines on his website. And let us know what you think of this 3D printing project over on our 3D Printed Binary Adding Machine forum thread at 3DPB.com.

 

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