1 / 18

The Shape of Math

Experience The Life Game, a simulation where life forms emerge, survive, and perish based on specific rules in a grid environment. Explore the patterns and dynamics of living entities in space!

petra-ingram
Télécharger la présentation

The Shape of Math

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. TheShapeofMath TheLifeGame MasashiSANAE

  2. What is TheLife Game ? • 1970 John Horton Conway Mathematician, Cambridge University • Simulation game • The symbol of the biological society • Under the certain enviroment, new life is born.Under the depopulation or the state of the congestion,the cell perishes. • Modeling of a living entity in space

  3. The Rule of The Life Game • A grid on the surface • Put a cell on the space labelled “P” • Decide the placement of a new cell according to the next rule • N : the number of cells around “P” • Survival ： if N = 2 or 3 • Death ： if N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 • Apply these rules on the all divisions on the board at the same time

  4. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation × 0 × ×

  5. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation × × 0 × × ×

  6. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation 0 0 0 0 0

  7. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation × × × × × 1 × ×

  8. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation × × × × × 2 ×

  9. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation × × × × × 3 ●

  10. Example • Survival ： If N = 2 or 3 • Death ： If N <= 1 or N>=4 • Birth ： There isn’t a cell on “P” and N=3 1st generation 2nd generation ● 2 1 ● 1 ● 3 3 4 2 ● 2 1 3 ● 5 8 4 3 ● 1 ● 3 3 ● 4 2 ● 2 0 1 2 3 ● 2 1

  11. Example • Survival ： If N = 2 or 3 • Death： If N <= 1 or N>=4 • Birth： There isn’t a cell on “P” and N=3 2nd generation 3rd generation

  12. Survival ：If N = 2 or 3 • Death： If N <= 1 or N>=4 • Birth： There isn’t a cell on “P” and N=3 Example

  13. Let’s Try!

  14. Let’s Try!

  15. Death Type Patern Of Life STABILITY TYPE Repeat type Another

  16. STABILITY TYPE

  17. repeat TYPE

  18. Another (1) glider (2) spaceship

More Related