# Getting Started With Geometric Algebra For Robotics, Computer Vision And More

[Hugo Hadfield] wrote to let us know about an intriguing series of talks that took place in February of this year at GAME2020, on the many applications of geometric algebra. The video playlist of these talks can be found here along with the first video embedded after the break. For those of us who did not take advanced algebra during university, one can picture geometric algebra (GA) as an extension of vector algebra, adding more algebraic structures.

The essential difference is that GA adds a new vectors product, called the ‘geometric product’. The Cliff’s Notes version is that this is very useful for doing for example transformations, like in 3D spaces. For a quick algebraic introduction to GA for those familiar with vector algebra, the associated biVector website is helpful, from where one can also find additional information, software and other resources on getting started with GA.

These talks will take the viewer through the use of GA with robot kinematics (co-presented by [Hugo]), in astrophysics and AI. Definitely worth a watch, even algebra isn’t one’s strongest points.

# Miles The Spider Robot

Who doesn’t love robotic spiders? Today’s biomimetic robot comes in the form of Miles, the quadruped spider robot from [_Robox].

Miles uses twelve servos to control its motion, three on each of its legs, and also includes a standard HC-SR04 ultrasonic distance sensor for some obstacle avoidance capabilities. Twelve servos can use quite a bit of power, so [_Robox_] had to power Miles with six LM7805 ICs to get sufficient current. [_Robox_] laser cut acrylic sheets for Miles’s body but mentions that 3D printing would work as well.

Miles uses inverse kinematics to get around, which we’ve seen in a previous project and is a pretty popular technique for controlling robotic motion. The Instructable is a little light on the details, but the source code is something to take a look at. In addition to simply moving around [_Robox_] developed code to make Miles dance, wave, and take a bow. That’s sure to be a hit at your next virtual show-and-tell.

By now you’re saying “wait, spiders have eight legs”, and of course you’re right. But that’s an awful lot of servos. Anyway, if you’d rather 3D print your four-legged spider, we have a suggestion.

# Robotic Biped Walks On Inverse Kinematics

Robotics projects are always a favorite for hackers. Being able to almost literally bring your project to life evokes a special kind of joy that really drives our wildest imaginations. We imagine this is one of the inspirations for the boom in interactive technologies that are flooding the market these days. Well, [Technovation] had the same thought and decided to build a fully articulated robotic biped.

Each leg has pivot points at the foot, knee, and hip, mimicking the articulation of the human leg. To control the robot’s movements, [Technovation] uses inverse kinematics, a method of calculating join movements rather than explicitly programming them. The user inputs the end coordinates of each foot, as opposed to each individual joint angle, and a special function outputs the joint angles necessary to reach each end coordinate. This part of the software is well commented and worth your time to dig into.

In case you want to change the height of the robot or its stride length, [Technovation] provides a few global constants in the firmware that will automatically adjust the calculations to fit the new robot’s dimensions. Of all the various aspects of this project, the detailed write-up impressed us the most. The robot was designed in Fusion 360 and the parts were 3D printed allowing for maximum design flexibility for the next hacker.

Maybe [Technovation’s] biped will help resurrect the social robot craze. Until then, happy hacking.

# Industrial Robot Given New Life And Controller

We all think we could use a third arm from time to time, but when we actually play this thought experiment out in our heads we’ll eventually come to the same hurdle [caltadaniel] found, which is a lack of a controller. His third arm isn’t just an idea, though. It’s a Yaskawa industrial robot that he was able to source for pretty cheap, but it was missing a few parts that he’s been slowly replacing.

The robot arm came without a controller or software, but also without any schematics of any kind, so the first step was reverse engineering the wiring diagram to get an idea of what was going on inside the arm. From there some drivers were built for the servos, but the key to all of it is the homemade controller. The inverse kinematics math was done in Python and runs on an industrial PC. Once it was finally all put together [caltadaniel] had a functioning robotic arm for any task he could think of.

Interestingly enough, while he shows the robot brushing his teeth for him, he also set it up to flip the switch of a useless machine that exists only to turn itself off. There’s something surreal about a massive industrial-sized robotic arm being used to turn on a \$20 device which will switch itself back off instantly, but the absurdity is worth a watch.

# Inverse Kinematics Robot Arm Magna-Doodles The Time For You

Following a surge of creativity fueled by the current lockdown, [Diglo] writes in with his tabletop clock driven by a robotic arm drawing on a Magna Doodle tablet. And if you have one of those still lying around with some old toys and don’t mind cannibalizing it for the project, you too can follow along the source files to build your own.

The clock works by exploiting the principle that Magna Doodle tablets work by being drawn on with a magnetic stylus. That way, to draw on one of them you don’t need to add a point of articulation to bring the pen up and down, [Diglo] simply attached a controllable electromagnet to the end of a two-dimensional SCARA arm. In total, the whole build uses three stepper motors, two to control the movement of the arm, and one on the back of the tablet to sweep a magnetic bar which “erases” it.

This clock is similar to another we’ve featured a few years ago, which also used a Magna Doodle, but greatly improves on the idea. If a Magna Doodle seems too childish to build a magnetic clock however, there’s always ferrofluidic displays to try to dip your fingers into, but we really think you should watch this one in action after the break first.

# Smooth Moves From Cheap Motors

Building an electric motor isn’t hard or technically challenging, but these motors have very little in the way of control. A stepper motor is usually employed in applications that need precision, but adding this feature to a motor adds complexity and therefore cost. There is a small \$3 stepper motor available, but the downside to this motor is that it’s not exactly the Cadillac of motors, nor was it intended to be. With some coaxing, though, [T-Kuhn] was able to get a lot out of this small, cheap motor.

To test out the motors, [T-Kuhn] built a small robotic arm. He began by programming his own pulse generating algorithm that mimics a sine wave in order to smooth out the movement of the motor. An Arduino isn’t fast enough to do these computations, though, so he upgraded to using the ESP32. He also was able to implement the inverse kinematics on his own. The result of all this work for a specific platform and motor type is a robotic arm that has a very low cost but delivers performance of much more expensive hardware.

The robot arm was built by [T-Kuhn] too, and all of the details on that build, as well as all the schematics and code, are available on the project site if you need a low-cost robot arm or a good stepper motor controller for a low cost. There are many other ways of getting the most out of other types of low-cost motors as well.

# The Challenges Of A Laundry Folding Robot

“This is the year of the general purpose home robot!” “2016 is going to be for robots like 1976 was for the home computer!” The problem with statements like those is the fact that we’ve been hearing them since the 1970’s. General purpose home robots still have a long way to go. Sure, we’ve got Roomba, we’ve even got self-driving cars. But we don’t have Rosie from the Jetsons. And while I don’t think we’re going to get to Rosie for a while, there are some simple challenges that can spur development in that direction. One need look no further than one’s own laundry room.

Using machines to wash and dry laundry isn’t a new concept. Washers and dryers have become commonplace enough that we don’t think of them as robots. Hamilton Smith patented the rotary washing machine in 1858. Maytag has had home machines available for nearly 100 years. Many of the early machines were powered by gasoline engines, as electricity wasn’t common in rural farmhouses. Things have improved quite a bit since then! From the dryer we transfer our laundry to a basket, where it has to be folded. It is this final step that cries out for a homemaking automaton to take this chore out of Everyman’s hands.

As one can imagine, folding laundry is one of those tasks that is easy for humans, but hard for robots. However, it’s not impossible. The idea of this article is to show what has been done, and get people talking. A project like this would take a person or group of people with skills in mechanics, electronics, machine vision, and software. It would also be sure to place well in the 2016 Hackaday Prize.