I’ve been exploring the intersection of alternative geometry and numerical stability. This is a proof-of-concept 3D renderer that abandons the standard Cartesian (XYZ) basis in favor of Buckminster Fuller’s Synergetic Geometry (a 4D tetrahedral coordinate system).
I’m not a professional graphics programmer, so I worked with Gemini CLI to
pair-program the core engine and the Metal-cpp boilerplate. We based the math
on Andrew Thomson’s 2026 framework for Spread-Quadray Rotors (SQR).
The Solution:
By implementing Andrew’s framework using a Rational Surd field extension
(Q[sqrt(3)]), we’ve achieved bit-exact rotation.
Paper:
https://www.researchgate.net/publication/400414222_Spread-Quadray_Rotors_-v11_
Feb_2026_A_Tetrahedral_Alternative_to_Quaternions_for_Gimbal-Lock-Free_Rotatio
n_Representation
Key Features:
* Algebraic Determinism: A startup benchmark proves that rotating 360 degrees
returns the engine to the exact starting bit-pattern.
* Surd-Native Shaders: The Metal kernel performs algebraic arithmetic
natively on the GPU, avoiding transcendental approximations.
* Linear Jitterbugging: The complex VE-to-Octahedron transformation is
handled as a simple linear interpolation in 4D space.
* Topological Stability: In a live 60FPS loop, the SQR system is ~10x more stable than an industry-standard matrix.My brother just had his 39th birthday and as we live in different cities I sent a present to him directly from the shop (it was a gym bag for those who are curious).
The shop didn't let me add a postcard or anything personal to the package so I went looking for an easy/fast eCard service that I considered aesthetically pleasing.
It was a very frustrating search. I thought of creating it with Figma but didn't feel like spending more time building a postcard design (also I wanted it to open in a cool way!!). So I created an app :D (cue Rick & Morty "lets-build-an-app" guy)
This was created with the sentiment how tinyletter (RIP) offered a functional/minimal solution to bloated software.
by eerichmond33 ·
I truly believe that most hard skills i.e. coding, math, etc are just gone in the near future... or at least so scarce that it would be extremely optimistic to think you could land that job.
I have no idea how to handle this from a career perspective. I'm getting my masters, so it isn't like I have job experience and can easily transition into a broader management role.
I'd love to hear how you are thinking about this.