Counting non-intersecting double-diagonals in polygons

Posted on August 12, 2023 · Tagged with combinatorics, python, math, deliberate-practice

MathJax.Hub.Config({ tex2jax: { inlineMath: [['$','$'], ['\\(','\\)']], displayMath: [['$$','$$'], ['\[','\]']], processEscapes: true, processEnvironments: true, skipTags: ['script', 'noscript', 'style', 'textarea', 'pre'], TeX: { equationNumbers: { autoNumber: "AMS" }, extensions: ["AMSmath.js", "AMSsymbols.js"] } } }); MathJax.Hub.Queue(function() { // Fix tags after MathJax finishes running. This is a // hack to overcome a shortcoming of Markdown. Discussion at // var all = MathJax.Hub.getAllJax(), i; for(i = 0; i The purpose of this blog post is to outline some deliberate practice I’ve done on solving a problem.

Solving a simple puzzle using SymPy

Posted on January 4, 2023 · Tagged with sympy, math, deliberate-practice

I came across this problem recently: It’s about a square that gets partitioned into rectangles of equal area (some sources call this "floorplan" ). One of the sides of these smaller rectangles is given and the problem asks for the area of the large square. It’s possible to build equations for: the known side of the small rectangle the smaller rectangle sides that add up to the same length of the large square side-length