Six Circle Intersection - Oct. 31-Nov.4, 1994 Boutros sat down next to Bernice at lunch, and she asked him, "Do you listen to NPR?" "You mean that boring radio station that my folks listen to? Not a chance!" answered Boutros. "Well," replied Bernice, "on Sunday, on the show called Weekend Edition Sunday, they have this puzzle guy come on. I think his name is Will Shorts or something like that. Anyway, yesterday's puzzle was really cool. What is the maximum number of times six circles of the same size can intersect? In other words, draw six circles of the same size on a piece of paper - what is the maximum number of intersections your drawing can have?" "Hey," said Boutros, "that is cool! And this is on NPR? Wow. I never knew..." Correct solutions to the problem were submitted by: Burnaby South Secondary School: Nancy Chen, Sandra Duruisseau, Anita Lau, Mike Veltri, Mike Woods, J. Yang Colorado Creative Education: Louise Schum, Julia Oppenheimer College Park High School: Kristina Almquist, Michele Gibney, Susie Goetz, Roy Holtmann, Andrew Liu, Ryan McCauley, Candice Wiegand Fairfield High School: Jennifer Abrahamsen, Kim Basone, Lisa Basone, Julie Black, Samantha Brenner, Randy Lansing, Betsy McCormick, Cecilia Merediz, Arpan Munier, Kelly Rogers Masterman School: Susan Quan Mount St. Joseph Academy: Susan Garges, Alicia Kempf, Susanna Puntel, Beth Waters Shaler Area High School: Zac Derr, Greg Hull, Nicole McKeown, Naomi Miller, Erik Ostrowski, Erin Quinn, Michelle Rogers, Chrissy Roos, Jessica Shaeffer, Andrea Sellers Spring-Ford High School: Audrey Herrlinger Steel Valley High School: Melissa Semego Trimble High School: Mandy Coffman, Devon Cooper, Misty Lent, Eric Reynolds These students opted for an infinite number (placing circles on top of each other): Burnaby South: Sean Nichols Georgetown Day School: Genevieve London, Rachel Weston Mount St. Joseph Academy: Kim Biedermann Sammamish High School: Lisa Weaver Steel Valley High School: Steve Barron, Farah Khan, Allen Shacklock, Braden Shipe, Brian Smith, Jen Thomas, Melissa Semego Next problem || Previous problem || Table of Contents || Forum Home Page