Yep.. it’s still scary.

Yep.. it’s still scary. Topology is a branch of math related to geometry. Figures that are analyzed are distorted or stretched somehow. Topologists study the properties of these figures that remain the same even after the distortion.

This problem was only recently solved with the help of computers. Previously, it was considered one of the famous unsolved math problems! The Four Color Map Problem

The Four Color Problem dates back to 1852. Francis Guthrie, while trying to color the map of counties of England, noticed four colors sufficed. He wondered if it was true any map could be colored using four colors in such a way that adjacent regions receive different colors. Guthrie discussed his conjecture with others and the Four Color Problem escalated! The Four Color Map Problem

F D G H B C A E Analyze the fictional map representing 8 different countries below. Can you name all the countries that share common boundaries?

F D G H B C A E Countries sharing a common boundary with H: B, F, G Can you name the countries that share a common vertex with H? B, C, G

The goal of the Four Color Problem is to color a map using no more than 4 colors. A map is considered finished when it is correctly colored with each country sharing a common boundary having different colors. Countries sharing common vertices may be colored with the same color. Check your understanding of the rules in the subsequent slides!

How many colors are needed? 2 Ex: red Ex: yellow

How many colors are needed? 3 Ex: red Ex: yellow Ex: green

Ex: blue How many colors are needed? 2 Ex: red Ex: blue

Let’s have some fun! Click on the following link! Please log-off, shut down, and place the laptops back in their cart by 1:30.Four Color Problem Game

Yep.. it’s still scary.