Flotsam on Tom Harris
http://tkmh.space/flotsam/
Recent content in Flotsam on Tom HarrisHugo -- gohugo.ioen-uktkmharris@protonmail.com (Tom Harris)tkmharris@protonmail.com (Tom Harris)Sun, 09 May 2021 18:17:39 +0100Associahedron
http://tkmh.space/flotsam/associahedron/
Sat, 12 Feb 2022 00:00:00 +0000tkmharris@protonmail.com (Tom Harris)http://tkmh.space/flotsam/associahedron/Jean-Louis Loday’s realisation of the (5-)associahedron:
The vertices are generated from planar binary trees using the algorithm described in Loday’s paper1 (Loday gives vertices in 4-space but they sit in a 3-dimsional hyperplane which I’ve projected onto ordinary 3-space). The surface was created and written to STL with the Trimesh Python library. Code.
Loday, J-L. Realization of the Stasheff polytope. Archiv der Mathematik 83, 267–278 (2004). doi ↩︎Fimmvörðuháls
http://tkmh.space/flotsam/fimmv%C3%B6r%C3%B0uh%C3%A1ls/
Sat, 21 Aug 2021 00:00:00 +0000tkmharris@protonmail.com (Tom Harris)http://tkmh.space/flotsam/fimmv%C3%B6r%C3%B0uh%C3%A1ls/Fimmvörðuháls, June 2017.Herb
http://tkmh.space/flotsam/turing-herb/
Sat, 22 May 2021 00:00:00 +0000tkmharris@protonmail.com (Tom Harris)http://tkmh.space/flotsam/turing-herb/From an amazon.com review of Lewis & Papadimitrious’s Elements of the Theory of Computation:
And also… who the hell is this geek on the cover? It doesn’t reveal his identity anywhere in the book. You know this book is bad when they have a herb like him staring at you. This guy needs a new suit, a haircut, and he needs to learn how to smile.
The herbLatin Wiphala
http://tkmh.space/flotsam/latin-square-wiphala/
Tue, 04 May 2021 00:00:00 +0000tkmharris@protonmail.com (Tom Harris)http://tkmh.space/flotsam/latin-square-wiphala/I’ve been playing with Latin squares today. Here is a wiphala arranged in the pattern of the 7 by 7 Latin square used on the cover of Ronald Fisher’s The Design of Experiments.Haskell Akiyama–Tanigawa
http://tkmh.space/flotsam/haskell-akiyama-tanigawa/
Sat, 01 May 2021 17:03:32 +0100tkmharris@protonmail.com (Tom Harris)http://tkmh.space/flotsam/haskell-akiyama-tanigawa/I am a big fan of the Akiyama–Tanigawa algorithm12 for computing Bernoulli numbers. It works by generating a structure resembling Pascal’s triangle, with rows whose entries are determined by a simple calculation on the two entries above them, from which we can read off the sequence of Bernoulli numbers.
What I like about this algorithm, besides its simplicity and elegance, is that it admits a concordantly simple and elgant implementation in Haskell using infinite data structures.