Taliesin Beynon
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Projects
2023
Rainbow Arrays
blog post series
After a lot of work (and software engineering) I finished up the first two episodes in what is hopefully a longer series of illustrated blogs. The theme is multidimensional arrays and how we manipulate them conceptually. I know the deep learning crowd like to call them tensors, but this brazen theft of terminology from mathematical physics has some some big downsides. First, it makes everyone assume that array programming is just linear algebra, which it definitely is not. Second, it means that …
2021
Quiver Geometry
discrete geometry via graph theory
Quiver geometry is an experiment in defining a kind of discrete geometry purely in terms of directed graphs with a particular structure of edge labels on them. I began thinking about this project in late 2020 when thinking about the abstract geometry induced by computational rewriting systems, having found nothing in the existing literature that seemed like a good “port” of the methods and theories of classical differential geometry to the setting of discrete geometry. I started to …
Posts
2023
Rainbow Array Algebra
May 16
Classical Array Algebra
May 6