1 / 16

The Four Color Theorem: Martin Gardner's Puzzle Shenanigan

Explore the history, solutions, and extensions of the Four Color Theorem, debunking counterexamples with Martin Gardner. Learn tips and tricks for quick and accurate solutions. Discover N-colors theorem and its three-dimensional implications. Unveil the fascinating world of mathematics through Gardner's playful approach and scientific skepticism.

kgill
Download Presentation

The Four Color Theorem: Martin Gardner's Puzzle Shenanigan

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. The Four Color Theorem & Counterexample Ps: of course all the counterexamples are wrong by now. made by 赵新榆 161120181

  2. PART 01 PART 02 PART 03 PART 04 Martin Gardner and his shenanigan Covering it with 4 colors Extention1: Adding the surrounding Extention2: N colors theorem

  3. PART 01 Martin Gardner and his shenanigan Who is Martin Gardner? When and why did he put forward it? Did he really come up with a counterexample?

  4. Background: Introduction to Martin Gardner Martin Gardner: ·An American popular mathematics and popular sciencewriter ·Interests: scientific skepticism, micromagic, philosophy, religion, and literature—especially the writings of Lewis Carroll · The long-time “Mathematical Games” columnist in Scientific American

  5. Martin Gardner's April Fool's Map Time: April Fools’ Day in 1975 It was punished in the magazine Scientific American

  6. PART 02 Solutions with 4 colors Is there any tips to solve it quickly and accuratedly?

  7. Covering it with 4 colors Here we start Tips: Start from outside or inside? 2.How is the routine? 3.Which to choose when there are two or more choices?

  8. Covering it with 4 colors

  9. Covering it with 4 colors Q: How many solutions are there in total? I never dreamed anyone would take it seriously, yet it produced more than a thousand letters from readers who did not recognize the column as a hoax.

  10. PART 03 Extention1: Adding the surrounding Will it be more difficult?

  11. Covering it with 4 colors

  12. PART 04 Extention2: N colors theorem What will it be like in three dimensions?

  13. N Colors Theorem in Three Dimensions 1.In reality No limit Equivalent to that on the plane 2. On the sphere or cylinder 7 colors 3.On the torus 4.Generalizations g= genus

  14. Reference https://en.wikipedia.org/wiki/Four_color_theorem 2. https://blogs.scientificamerican.com/observations/unscientific-unamerican-and-other-april-fools-jokes-in-sa-history/ 3. http://mathforum.org/wagon/fall97/p840.html 4. https://mathnexus.wwu.edu/archive/news/detail.asp?ID=19 5.https://baike.baidu.com/item/%E9%A9%AC%E4%B8%81%C2%B7%E5%8A%A0%E5%BE%B7%E7%BA%B3/1501206?fr=aladdin

  15. Thank You All!

More Related