Uploaded November 2021 | Updated September 2026, 2 weeks ago
In this video, the torus knot geometry is shown, only this time, I put a blue plane exactly between the "north" and "south" poles. When I rotate the structure 180 degrees, you will see that the geometry is exactly the same no matter which side you are looking at. An object with chiral symmetry is not superimposible onto itself when you do a left-right flip of the image. It is only superimposable onto itself with a 180 degree rotation.
In this video, the torus knot geometry is shown, only this time, I put a blue plane exactly between the "north" and "south" poles. When I rotate the structure 180 degrees, you will see that the geometry is exactly the same no matter which side you are looking at. An object with chiral symmetry is not superimposible onto itself when you do a left-right flip of the image. It is only superimposable onto itself with a 180 degree rotation.





![Robotic Arm: Kinematics using 2x2 Matrix Version of Eulers Formula
Here is a short video I made of the software I am working on that uses the 2x2 matrix version of Eulers formula to help solve the kinematics of the mechatronic arm that we are using in one of our medical devices. Each joint of the arm uses one 2x2 matrix to track the rotations:
[+cos(t) +sin(t)]
[-sin(t) +cos(t)]
This is really cool and I am very proud of my work. Robotic Arm: Kinematics using 2x2 Matrix Version of Eulers Formula](https://i.ytimg.com/vi/nQHKDj4Q93Y/mqdefault.jpg)



![On the Radius (and the Fine Structure Constant)
In Modified Unit Analysis, the units of RADIUS is [m/rad]. In this video, I explain why. What does the fine structure constant have to do with this? I guess you will have to watch and see. On the Radius (and the Fine Structure Constant)](https://i.ytimg.com/vi/oFqLzcx0vAo/mqdefault.jpg)
