John Horton Conway – Wikipedia

/John_Horton_Conway

    • #merci

      John Conway’s Game of Life - Einführung in Zellulare Automaten
      https://beltoforion.de/de/game_of_life


      Une simulation en Javascript qui se joue en ligne

      Wegen der Einfachheit des Regelsatzes ist die Implementierung von Game of Life eine beliebte Aufgabe für Programmieranfänger. Der Quellcode des hier verwendeten „Game of Life“-Applets ist in Typescript geschrieben und kann bei GitHub herunter geladen werden. Eine Beschreibung der Implementierung des Game of Life in Python befindet sich in einem anderen Artikel auf dieser Webseite.

      puis ...
      John Conway’s Game of Life
      https://bitstorm.org/gameoflife

      The Simulation

      Golly Game of Life Home Page
      http://golly.sourceforge.net

      Golly - Apps on Google Play
      https://play.google.com/store/apps/details?id=net.sf.golly

      ‎Golly on the App Store
      https://apps.apple.com/us/app/golly/id553184760

      Golly is an open source, cross-platform application for exploring Conway’s Game of Life and many other types of cellular aut

      Python Version von John Conways Game of Life
      https://beltoforion.de/de/unterhaltungsmathematik/game_of_life.php

      import pygame
      import numpy as np

      col_about_to_die = (200, 200, 225)
      col_alive = (255, 255, 215)
      col_background = (10, 10, 40)
      col_grid = (30, 30, 60)

      def update(surface, cur, sz) :
      nxt = np.zeros((cur.shape[0], cur.shape[1]))

      for r, c in np.ndindex(cur.shape) :
      num_alive = np.sum(cur[r-1:r+2, c-1:c+2]) - cur[r, c]

      if cur[r, c] == 1 and num_alive < 2 or num_alive > 3 :
      col = col_about_to_die
      elif (cur[r, c] == 1 and 2 <= num_alive <= 3) or (cur[r, c] == 0 and num_alive == 3) :
      nxt[r, c] = 1
      col = col_alive

      col = col if cur[r, c] == 1 else col_background
      pygame.draw.rect(surface, col, (c*sz, r*sz, sz-1, sz-1))

      return nxt

      def init(dimx, dimy) :
      cells = np.zeros((dimy, dimx))
      pattern = np.array([[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
      [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
      [0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0],
      [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0],
      [1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
      [1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
      [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
      [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
      [0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]) ;
      pos = (3,3)
      cells[pos[0]:pos[0]+pattern.shape[0], pos[1]:pos[1]+pattern.shape[1]] = pattern
      return cells

      def main(dimx, dimy, cellsize) :
      pygame.init()
      surface = pygame.display.set_mode((dimx cellsize, dimy cellsize))
      pygame.display.set_caption("John Conway’s Game of Life")

      cells = init(dimx, dimy)

      while True :
      for event in pygame.event.get() :
      if event.type == pygame.QUIT :
      pygame.quit()
      return

      surface.fill(col_grid)
      cells = update(surface, cells, cellsize)
      pygame.display.update()

      if _name_ == « _main_ » :
      main(120, 90, 8)

      John Horton Conway
      https://de.wikipedia.org/wiki/John_Horton_Conway

      John Horton Conway ( 26. Dezember 1937 in Liverpool, Vereinigtes Königreich; † 11. April 2020 in New Brunswick, New Jersey, Vereinigte Staaten) war ein britischer Mathematiker.
      ...
      Nach seinen bedeutendsten Leistungen gefragt, hob er 2013 seine Entdeckung surrealer Zahlen hervor und seinen Beweis des Free Will Theorems in der Quantenmechanik mit Simon Kochen und weniger seine Arbeiten in Gruppentheorie, für die er vor allem bekannt war. Das Free Will Theorem wurde von Conway und Kochen 2004 bewiesen und besagt, dass, falls beim Experimentator Entscheidungsfreiheit (freier Wille, Möglichkeit nicht vorherbestimmten Verhaltens) vorhanden ist, dies (unter schwachen Voraussetzungen) in gewissem Sinne auch für alle Elementarteilchen gilt .

      [quant-ph/0604079v1] The Free Will Theorem
      https://arxiv.org/abs/quant-ph/0604079v1

      John Conway, Simon Kochen

      On the basis of three physical axioms, we prove that if the choice of a particular type of spin 1 experiment is not a function of the information accessible to the experimenters, then its outcome is equally not a function of the information accessible to the particles. We show that this result is robust, and deduce that neither hidden variable theories nor mechanisms of the GRW type for wave function collapse can be made relativistic. We also establish the consistency of our axioms and discuss the philosophical implications.

      http://www.ams.org/notices/200902/rtx090200226p.pdf

      #informatique #simulation #automate_cellulaire #machine_de_Turing #mathématique #physique #logique #philosophie