Tag: Visualization

• P-adic wheels

  

  In the usual (real) number line, two numbers are “close” if their leading digits agree: is closer to than to . The p-adic world flips that intuition: closeness is governed by agreement of the low-order digits (divisibility by powers of a prime). This post introduces a small Pygame visualization (shown as circles inside circles inside…

  Michael Emmerich

  February 12, 2026

  Mathematical Playground

  math, mathematics, p-adic number, Prime Numbers, python, ultrametric, Visualization

• A Visualizer for 3-D Pareto Fronts Based on Anchored Boxes

  Michael Emmerich

  November 14, 2025

  Computational Science, Multiobjective Optimization, Small Python Math Examples, Uncategorized

  3-D Graphics, analysis, Attainment Surfaces, Computational Geometry, hypervolume-indicator, interactive plots, linear-algebra, math, mathematics, Multiobjective Optimization, Pareto front, plotly, python, Visualization

• Multiobjective Heatmaps: Landscape Visualization via ε-Dominance

  Michael Emmerich, January 16th, 2025(inspired by a discussion of an application problem with Jonas Schwaab, ETH Zurich) In single-objective optimization, it is easy to visualize a function that depends on only two continuous or integer input variables by means of a heatmap plot, where the lightness indicates the achievement in the objective function, say F(x1,…

  Michael Emmerich

  January 16, 2025

  Computational Science, Multiobjective Optimization, Scientific Visualization

  data-science, Epsilon Dominance, math, Multiobjective Landscape, Multiobjective Multimodal Optimization, Nonlinear Multiobjective Optimization, python, Visualization