On the Sierpinski triangle and its generalizations

2025/06/25 by De Carli, L., Echezabal, A., Morell, I.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2506.20456

Abstract

By examining arithmetic operations between decimal numbers in a given base m we uncover fractal structures that generalize the Sierpinski triangle

Citations

• Generalised Sierpinski Triangles
• Quantum Pascal's Triangle and Sierpinski's carpet

Related

• Generalised Sierpinski Triangles
• Egyptian fractions meet the Sierpinski triangle
• The Sierpinski Triangle and The Ulam-Warburton Automaton
• Sierpinski's triangle and the Prouhet-Thue-Morse word
• The Pattern Complexity of the Sierpiński Triangle