#quaternions — Public Fediverse posts

What a romantic, though! #WilliamRowanHamilton #Quaternions #RomanticGestures

Reworked the 24-cell sketch, much easier to understand now.

Every one of the 12 visible #spinors has a button that brings the yellow spinor (the 1 state) to the clicked one because in 3D spinors double as rotations. (both are #quaternions so there exists a quotient between spinors, which is a rotation).

I think what's clear is that thinking in terms of a spinorial/rotational lattice makes things much easier to grasp than in terms of a vectorial/translational lattice

https://editor.p5js.org/aap/sketches/-N-Bnk_jn

This article by Simon Altman on #quaternions and rotations may be the most lucid i've seen on the topic: https://worrydream.com/refs/Altmann_1989_-_Hamilton,_Rodrigues,_and_the_Quaternion_Scandal.pdf

My beloved #spinors are also mentioned. It is rarely explicitly stressed that the quaternionic imaginaries are 180° rotations, not 90° rotations. The same *can* be said of the complex numbers too of course, but commutativity makes things special there.

And he sketched a crooked tesseract.

#FourDimensional

#AndHeBuiltACrookedHouse
#RobertHeinlein

#Canal
#Hamilton
#Ireland
#Quaternions

I watched this excellent Swift Introduction to Geometric Algebra, https://youtu.be/60z_hpEAtD8?si=Gv_rHCafbNXj3WXr . I enjoyed it! Geometric algebra allows you to multiply and divide scalars, vectors, and other geometric objects. It's fascinating and helps make sense of concepts like imaginary numbers and quaternions.
#geometricAlgebra
#quaternions
#vectors

Homework help!! Do I know anyone out there who understands quaternions who can help my HS senior with some homework? Specifically how quaternions work in the context of video game design. He’s working on an IB assessment and can’t get the math right for what he’s designed and it’s not working. I’m absolutely no help. #HomeworkHelp #Homework #VideoGameDesign #GameDesign #VideoGames #Quaternions