16. Oktober: #quaternion day! Sie haben 182. Geburtstag 🎂
„Here as he walked by on the 16th of October 1843 Sir William Rowan Hamilton in a flash of genius discovered the fundamental formula for quaternion multiplication
i^2 = j^2 = k^2 = i j k = -1
& cut it on a stone on this bridge“
(Droichead Broome / Broombridge, #dublin )
GitHub - David-OConnor/lin-alg: Operations on matrices, vectors, and quaternions

Operations on matrices, vectors, and quaternions. Contribute to David-OConnor/lin-alg development by creating an account on GitHub.

GitHub

I needed to work with some #quaternion maths to translate my arbitrary arc from #SVG 2D into #OpenSCAD 3D space, took me a while.

https://toot.community/@matths/113527745033305704

Matthias Dittgen :bc: (@[email protected])

Attached: 1 image New experiments on the way... circles, lines, angles, tangents, arcs and rapid prototyping with #Svelte, #Javascript and #SVG. What would you build from it? Rather in 3D?

toot.community

Prev boost of @jendrikillner has an article on Quaternion random walks which is really cool. Some comments:

1) The random walk isn't the same as a classical method if the ordering of the drawn values is important. The angles between draws isn't uniformly distributed...it's fixed.
2) For Marsaglia:
a) can skip on trig by rejection method (2 uniform on disc) OR
b) use a sincospi kernel (instead of full version given limited angle ranges)

[1] https://mastodon.gamedev.place/@jendrikillner/112117518120064974

#quaternion

Jendrik Illner (@[email protected])

Attached: 1 image Graphics Programming weekly - Issue 331 - March 17th, 2024 https://www.jendrikillner.com/post/graphics-programming-weekly-issue-331/

Gamedev Mastodon

APEC 3/16: Mike McCullough on the #Quantum Horizon Drive, Nathan Inan on #Gravitational Coupling, Curtis Horn on #Quaternion Theory & Mike Gamble on the #Graviflyer replication. REGISTER NOW: https://altpropulsion.com/events/apec-3-16-2024/

#space #physics #science #propulsion #tech

APEC 3/16: Horizon Drive, Graviflyer & Gravitational Coupling - Alternative Propulsion Engineering Conference

Mike McCullough on the Horizon Drive, Nathan Inan on EM-GR coupling, Curtis Horn on EM quaternion theory & Mike Gamble on the Graviflyer.

Alternative Propulsion Engineering Conference
I fucking hate Quaternions can I get some #quaternion hate posting? I hate Quaternions holy fuck I hater Quaternions so fucking much. If I see a quaternion irl I'm slapping the shit out of her.
RIP letzte 2h: mathutils.Quaternion verwendet im Gegensatz zur Rotation Klasse in scipy.spatial.transform die Reihenfolge [qw, qx, qy, qz]. 🙈 💀 #Python #mathutils #Quaternion

Our former Ukrainian Research Fellow, Ivan Kyrchei has just released a paper on #Quaternion #MatrixEquations.

I.I. Kyrchei, D. Mosić, P. Stanimirović / Quaternion Two-Sided Matrix Equations with Specific Constraints / In: Mathematics Online First Collections. Springer, Cham.

https://link.springer.com/chapter/10.1007/16618_2023_45
#generalizedinverse #linear #DeterminantalRepresentation

@univienna #NASUkraine

(for the video please visit https://twitter.com/ESIVienna/status/1669680957580890112)

Quaternion Two-Sided Matrix Equations with Specific Constraints

This chapter is devoted to the survey of quaternion restricted two-sided matrix equation AXB = D and approximation problems related with it. Unique solutions to the considered approximation matrix problems and the restricted quaternion two-sided matrix...

SpringerLink

A #RosettaCode #quaternion task entry for both #OtusLisp and ‘regular’ #Scheme --

Quaternion type - Rosetta Code https://rosettacode.org/wiki/Quaternion_type#Ol