https://mgarletmilani.com/ Recent content on Marcelo Garlet Milani Hugo -- gohugo.io en-us Sat, 20 Jun 2026 18:00:00 +0900 https://mgarletmilani.com/blog/2026-06-03-tessellations/ Sat, 20 Jun 2026 18:00:00 +0900 https://mgarletmilani.com/blog/2026-06-03-tessellations/ I recently came across some of Escher’s impressive and inspiring artworks. Maybe the impossible staircase is one of his most famous drawings, but he also worked a lot on tessellations. A tessellation is the covering of a surface with repeated shapes. A very familiar type of tessellation is the checkerboard, where the plane is covered with squares of alternating colors. What makes Escher’s tessellations so fascinating for me is that he managed to cover the plane using birds, fishes, horses or other animals, making an otherwise quite abstract drawing into something alive. https://mgarletmilani.com/blog/2026-05-10-penrose-triangle/ Sun, 17 May 2026 18:00:00 +0900 https://mgarletmilani.com/blog/2026-05-10-penrose-triangle/ Drawing good illustrations is an important part in presenting my work to my peers. Mathematics is very abstract, and starting with the correct mental model is essential to understand the technical details. So far I used TikZ to produce precise, high-quality drawings. While TikZ is certainly impressive and feature-rich, the length of its manual is also impressive: slightly over 1300 pages. Oftentimes, instead of constructing the best illustration I can imagine in order to communicate my ideas, I end up restricting myself to what I can produce with my limited knowledge of TikZ.