Robotic Arm: Kinematics using 2x2 Matrix Version of Euler's Formula @FractalWoman

Uploaded March 2024 | Updated September 2026, 2 weeks ago

Here is a short video I made of the software I am working on that uses the 2x2 matrix version of Euler's 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

My First Ferrocell Simulation (SILENT MOVIE)

On The Photoelectric Effect and The Photon

$This is Who I Am To my subscribers, friends, colleagues and acquaintances, I want to take a moment to share something personal about myself and the way I approach my YouTube channel. For people that have been with me for a long time, nothing that I am saying here will be a surprise. But the people that are new to my channel will not have had the time to understand my history, my motivations or my character. As the year comes to a close, I think it is important to reflect on the events of the past and the paths that we took to get to where we are right now. On my Channel: This channel is not a school and I am not a professor. This channel is a map of my JOURNEY OF DISCOVERY. It is a living document of my path as I wander through the landscapes of physics, math and fractals and the never ending mysteries of the Universe. My channel is a diary of my thought processes, revelations and realizations as my knowledge and understanding grows and changes with time. On Discovery: When I speak of “discovery,” I am speaking of my personal discoveries, not the first-ever human discoveries. These are the revelations of my mind, the gentle unfolding of understanding that comes from curiosity, patience, wonder, study and hard work. Sometimes, I stumble upon an aHa moment - the sparkling instants of clarity or insight. These are the personal realizations born from my knowledge base, my mind and my imagination. These are not things that I can grasp onto and hold. Imagination captures me, not the other way around. On my Claims: I do not claim authority over any of the ideas I share with you on my channel. I do not claim that I am the first, the only, or the final voice to recognize them. I discover anew every day (and twice on Sundays). My desire is simply to share these experiences as I live them, to illuminate my path and invite you to walk alongside me, even if only for a moment. On Why I Make Videos: I make videos because I feel compelled to. My channel is not monetized and I rarely use my own name. This space is a mirror of my path, my trajectory, my journey - shaped by curiosity, by wonder, by the joy of exploration itself. Every video I make is an act of sharing, not professing. I offer guidance, process, logic and visualizations, so you might see the world through my eyes. I do not seek fame, fortune or recognition; I seek companionship on my journey. Walk with me for a while, or not. It’s entirely up to you. To my YouTube family: Thank you for being here and for being so supportive. Your curiosity, your questions, your reflections spark new trails of thought. They illuminate the hidden corners of understanding, and they weave and solidify the thread of my journey into a shared tapestry of discovery. Every comment, every question, every insight, every moment you spend engaging in this process transforms my exploration from a personal quest into a living conversation - a shared experience that grows, unfolds and deepens the meaning of the discovery process and the journey itself. May the spark of curiosity ignite the fuel of your imagination and manifest an abundance of knowledge, understanding and joy, in harmony with the Universe. Happy New Year. @FractalWoman$

On the Radius (and the Fine Structure Constant)

$Stand My Ground I made this video to give me the strength and the courage to stand my ground and not let others dictate how I run my life or my channel. The Rastafarian images were generated using Midjourney and the music was also AI generated. The crazy fractal zooms were of course generated my me. If you find yourself getting dizzy during the fast fractal zoom parts, just close your eyes and listen to the music.$

Demystifying the Complex Plane (via Mandelbrot Fractal)

$Fractal Coloring Contest Here is a link to the competition in theOMparticle Discord: https://discord.gg/aQwnEkZ6 The Discord contest is related to the NFT project I am working on. The winner of this contest will be given a free mint of an OMparticle code when when we reach that phase of our project. This video shows how to use the software to generate pretty fractal images which can be submitted to theOMparticle Fractal Coloring Contest on our Discord channel. Here is a link to the software: https://fractalwoman.com/TheCode/FractalColouringContest.html$

Faraday Paradox (not a paradox) Explained