Topology

Topology

• Connected Loops

  

  We challenge you to find a way to tie the three loops of string together so that untying any one of them causes the other two to be disconnected. read more  

• The Seven Bridges of Königsberg

  

   

  There are seven bridges in Königsberg. Can you cross each bridge just once without missing any of them? read more  

• The FedEx Problem

  

  Federal Express is a company that ships packages from one city to another by airplane. In the United States they use a system that might at first glance seem very odd and inefficient. read more  

• The Four-Color Theorem

  

  The small island nation of Seedonia is organized into three provinces: Sciville, Connexia, and Collabdale. read more  

• The Lines Problem

  

  Draw a continuous line made up of no more than four straight segments that goes through all of the nine dots. read more  

• Trees in a Row

  

  You have seven trees to plant. They need to be arranged in six rows with three trees in each row. How do you do it? read more  

• More Trees in a Row

  

  You have ten trees. Can you arrange them in four rows of five? read more  

• Which Bike Is Free?

  

  Bart, Chang, and Omar rode their bicycles to school. Each had a chain and a lock. Bart locked his bike to a lamppost and to Chang’s bike. read more