Math Challenge Problem

The Math Challenge problem has returned to UNC's School of Mathematical Sciences! This is a problem that everyone is welcomed to try their hand at. New problems twice a month.

April Challenge 2

Labeled Cube

Suppose you take a cube and label one of its vertices with a 1, and all the other vertices with a 0. You may now change the numbers on the vertices by picking any edge of the cube and adding one to the labels of its two endpoints.

The Challenge: Will there every be a configuration where all the labels are even? Will there every be a configuration where all the labels are divisible by 3?

challenge art

Submit solutions to Ross 2239G or by email to oscar.levin@unco.edu.
Deadline: Friday, May 2

 

Win PRIZES! A winner will be randomly selected from all correct answers received for each challenge problem to receive a fun math prize of his or her choice.


Previous Problems

2013-2014

September Challenge 1 | September Challenge 2 | October Challenge 1 | October Challenge 2 | November Challenge 1 | November Challenge 2 | January Challenge | February Challenge 1 | February Challenge 2 | March Challenge 1 | March Challenge 1 | April Challenge 1

2012 - 2013

September Challenge - Solution | October Challenge |November Challenge | January Challenge - Solution | February Challenge - Solution | March Challenge - Solution | April Challenge

2011 - 2012

Problem 1 (Solution) | Problem 2 (Solution) | Problem 3 | January Challenge (Solution) | February Challenge 1 (Solution) | February Challenge 2 | March Challenge | April Challenge

Shell

Contact Information

  • School of Mathematical Sciences, University of Northern Colorado
  • Ross 2239
  • Campus Box 122
  • 501 20th Street
  • Greeley, CO 80639
  • Tel: (970) 351-2820
  • Fax: (970) 351-1225