four color problem
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Curipod generated lesson: "four color problem". #8-10
jcarroll
Updated 3 months ago
1. Word cloud
120 seconds
What is the Four Color Problem?
2. Slide
60 seconds
The Four Color Problem
The Four Color Problem is a problem in mathematics that asks if it is possible to color a map with only four colors, so that no two adjacent regions have the same color. The Four Color Theorem was proven in 1976 by Kenneth Appel and Wolfgang Haken using a computer program. The theorem has been proven to be correct, although the proof has never been accepted by some mathematicians.
3. Slide
60 seconds
four color problem
Four Color Problem: This problem seeks to determine the minimum number of colors needed to color any given map so that no two adjacent regions have the same color.
Graph Theory: This is the branch of mathematics that studies the properties of graphs and their applications in various fields.
Coloring Problem: This is a problem in which a set of objects must be colored using only a set number of colors such that no two adjacent objects have the same color.
4. Slide
60 seconds
Did you know?
The four color theorem was first proposed in 1852 by Francis Guthrie, a college student at University College London. It was the first major theorem to be proven with the help of a computer in 1976. The four color theorem can also be applied to maps of the moon and other planets.
5. Open question
180 seconds
Work together in pairs: What is the most efficient way to determine if a map can be colored using only four colors?
6. Personalised Feedback
360 seconds
Can you explain the concept of the four color problem and why it is considered to be a challenging mathematical puzzle?
7. Open question
180 seconds
Work together in pairs: What is the significance of the four color problem in terms of mathematics and computer science?
8. Drawings
450 seconds
Brain break: Draw a dinosaur karate chopping a slice of pizza
9. Poll
60 seconds
What is the Four Color Problem?
- A challenge in abstract algebra
- A puzzle about mixing colors
- A problem in graph theory
10. Poll
60 seconds
Who proposed the Four Color Theorem?
- Francis Guthrie
- Leonhard Euler
- Carl Friedrich Gauss
11. Poll
60 seconds
What does the Four Color Theorem state?
- Any map can be colored using only four colors so that no two adjacent regions have the same color.
- The number of possible colorings of a map is four times the number of regions.
- Any map can be colored using only three colors so that no two adjacent regions have the same color.
12. Poll
60 seconds
When was the first valid proof for the Four Color Theorem published?
- 1928
- 1865
- 1976
13. Poll
60 seconds
What branch of mathematics does the Four Color Problem belong to?
- Graph Theory
- Geometry
- Number Theory
Made with ❤️ from Norway