ls ~/math/conjectures

Mind-blowing conjectures

• math Conjetura de Collatz [code]

  Interactive Collatz Conjecture (3n+1) analyzer. Generates and analyzes sequences for any positive integer, multiple visualization modes (static graphs, animated, spirals, decision trees), sequence comparison, and JSON export. Handles numbers up to 10²¹.

  Python · Matplotlib · NumPy

• math Teorema de Fermat 3D [code]

  Interactive 3D visualizations of Fermat's Last Theorem (aⁿ + bⁿ = cⁿ). Demonstrates that n=2 has infinite integer solutions (Pythagoras) and why none exist for n>2. 4 visualization types: 3D points, Pythagorean triples, absence charts and error comparisons.

  Python · Plotly · NumPy · Pandas

• math Primos Gemelos [code]

  Generates and visualizes twin prime numbers to understand their patterns and distribution. 4 visualization types (number line, trends, spirals, distance histograms), CSV export, and advanced statistical analysis. Uses optimized Sieve of Eratosthenes.

  Python · NumPy · Matplotlib · SciPy

• math Conjetura de Goldbach [code]

  GUI application to visualize the Goldbach Conjecture (every even > 2 is sum of two primes). Individual even number analysis, range analysis, and visualizations with prime pair scatter plots and combination count histograms.

  Python · Tkinter · Matplotlib · NumPy

• math Refutación Numerología [code]

  Research project that mathematically demonstrates why numerological claims lack foundation. Includes statistical analysis, counterexample generation, and distribution visualizations that refute the idea that certain numbers have special or mystical properties.

  Python · Research