#geometricalgebra — Public Fediverse posts

Wow, a riveting tale of sunset geometry 🌅📐—because who doesn't want to spend their evening calculating the Earth's radius with a single sunset photo? 🤓🔍 Clearly, classical #trigonometry just wasn't making math nerdy enough, so let's sprinkle in some Geometric Algebra for extra pizzazz. 🎉
https://www.shapeoperator.com/2016/12/12/sunset-geometry/ #sunsetgeometry #mathnerd #GeometricAlgebra #STEMeducation #HackerNews #ngated

I also want to explore more #GeometricAlgebra applied to #physics and #ComputationalPhysics (not necessarily for #FluidDynamics and #CFD, but that would be preferable as it's obviously our primary topic of relevance). I can't seem to find anything that combines #SPH and GA, so it might even lead to some new interesting venues to explore.

3/n

#ComputationalFluidDynamics #SmoothedParticleHydrodynamics

This is an introduction to #GeometricAlgebra, an alternative to traditional #VectorAlgebra that expands on it in two ways:
1. In addition to scalars and vectors, it defines new objects representing subspaces of any dimension.
2. It defines a product that’s strongly motivated by #geometry and can be taken between any two objects. For example, the product of two vectors taken in a certain way represents their common plane.

This system was invented by #WilliamClifford and is more commonly known as #CliffordAlgebra. It’s actually older than the #VectorAlgebra that we use today (due to #Gibbs) and includes it as a subset. Over the years, various parts of #CliffordAlgebra have been reinvented independently by many people who found they needed it, often not realizing that all those parts belonged in one system. This suggests that Clifford had the right idea, and that #GeometricAlgebra, not the reduced version we use today, deserves to be the standard “vector algebra.” My goal in these notes is to describe #GeometricAlgebra from that standpoint and illustrate its usefulness. The notes are work in progress; I’ll keep adding new topics as I learn them myself.

Well, #adhd did it again. Right now my Interest List is:

- #muvco
- assemble mixer pcb that came back last week
- read #midi files
- two voices
- think about low-part-count implementation idea for #polysynth #synthdiy
- work on #geometricalgebra problem sets (from good-so-far book: https://geometricalgebra.org/)
- take birthday present manim course (https://www.manim.community/, but more than basics)
- read Empire of the #Ants and #DawnOfEverything

That on top of a real job and a #honeydew

#introduction #introductions

I'm a mid-20's software engineer in the midwest united states, I do #clojure development professionally and as a hobby, with a strong bent on #gamedev projects in my free time.

I'm the author of several libraries for Clojure including #coffi and #farolero.

I'm fluent in #lojban (#jbobau) and like learning languages, especially #conlangs.

Lately I've been diving into #geometricalgebra in order to unify my physics code in my game engines.

I care for three cats.

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 Februa... - https://hackaday.com/2020/10/06/getting-started-with-geometric-algebra-for-robotics-computer-vision-and-more/ #inversekinematics #geometricalgebra #vectoralgebra #robotshacks #science