Conway's Game of Life

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2013-03-06 14:39

This example demonstrates the evolution of Conway's Game of Life, simulating complex pattern generation through cell survival rules. Core math concepts include matrix operations, modular arithmetic, logical judgments, and set manipulation. Construction highlights use of commands like Polygon, Sequence, If, myMod, Textfield, PointIn, Circle, Zip, and objects such as matrices and sliders to dynamically update states. Suitable for high school students and above studying discrete mathematics, algorithms, and introductory computer science.

GeoGebra Commands & Parameters

Polygon(B, C, D, E) → poly1, b_1, c_1, d, e
Sequence(size) → listNum
If(num1 > size, num1 - size, If[num1 < 1, size + num1, num1]) → myMod
myMod(-1, size) → a
Textfield(survivals) → inputBox1
PointIn(poly1) → A
Textfield(births) → inputBox2
Circle(A, 1.5) → c
Zip(Zip[Point[{c1, size - c2}], c1, listNum], c2, listNum) → listWhite
Zip(RemoveUndefined[Zip[If[Element[listNow, c2, c1] ≥ 1, Point[{c1, size - c2}]], c1, listNum]], c2, listNum) → listBlack
myMod(2, 1) → h
Zip(Zip[If[k ≟ floor(x(A)) ∧ j ≟ floor(size - y(A)), mode, 0], k, listNum], j, listNum) → listTrace

AI Drawing Prompt Reference

Create a visual representation of Conway's Game of Life, featuring a geometric shape made of multiple points and dynamically generated white and black dot matrices based on matrix and sequence operations to simulate cell survival and reproduction rules. A circle is at the center, with points around it changing according to input rules, determined by logical judgments and modular arithmetic, forming a complex geometric pattern that evolves over time.

The prompt above was compiled from the original drawing commands and is for reference only.