Corpus ID: 119476194

The Sierpinski Triangle and The Ulam-Warburton Automaton

  title={The Sierpinski Triangle and The Ulam-Warburton Automaton},
  author={T. Khovanova and Eric Nie and Alok Puranik},
  journal={arXiv: History and Overview},
  • T. Khovanova, Eric Nie, Alok Puranik
  • Published 2014
  • Mathematics
  • arXiv: History and Overview
  • This paper is about the beauty of fractals and the surprising connections between them. We will explain the pioneering role that the Sierpinski triangle plays in the Ulam-Warburton automata and show you a number of pictures along the way. 
    1 Citations
    True Parallel Graph Transformations: an Algebraic Approach Based on Weak Spans
    • 3
    • PDF


    The Toothpick Sequence and Other Sequences from Cellular Automata
    • 7
    • PDF
    A new kind of science
    • 2,782
    • PDF
    On the cellular automaton of Ulam and Warburton
    • M500 Magazine of The Open University, 195
    • 2003
    solver), A tree in the integer lattice, Problem 10360
    • Amer. Math. Monthly,
    • 1994
    On some mathematical problems connected with patterns of growth of figures
    • Mathematical Problems in Biological Sciences, 14
    • 1962
    Sur une courbe dont tout point est un point de ramification
    • C. R. A. S. 160,
    • 1915