#multivectors — Public Fediverse posts

i've been thinking of making a little #polca inspired language that uses #multivectors. and i noticed that it would probably make sense for the multivectors to replace the number type, with scalars being just a particular kind.

but that seems to conflict somewhat with the existing design of polca, which relies a lot on iteration counting and indexing, as well as using numbers for logic. it's a rather scalary language, i suppose. :D

Now have vectors, bivectors and trivectors as basics, plus #3D display in #python and #pyqtgraph

Next #GeometricAlgebra topic is true #multivectors

I should probably have limited myself to 2D. 3D makes a #ui to manipulate individual points difficult.

I think I now understand #vector and #bivector in their most basic forms. #python #code can make a BiVector given two vectors but represents it internally as bivector components. Can then ask for two vectors that it would be the outer product of for the purposes of drawing it in #3d in #pyqtgraph

Need to fix up some coordinate system agreement issues and some singularities plus add color and transparency.

Then possibly time to move to #GeometricAlgebra #multivectors and then some operators

Why can't you multiply vectors? [video]
https://www.youtube.com/watch?v=htYh-Tq7ZBI
#ycombinator #Acegikmo #Freya_Holmér #Freya #Holmér #mathematics #Vectors #Multiplying_vectors #Geometric_Algebra #Clifford_Algebra #Multivectors #Dutch_Game_Day #math #Multivector