Today is 28 April 2016, the 119th day of the year.
 

 

 



more quotes
       
 

more humor




Die-Cast Polyhedra banner



ZENO'S PARADOX



COPING WITH MATH ANXIETY




CONTENT SUITABLE FOR ALL
  Platonic Realms Math Store Banner
     
   
Civil Smith, a regional director of the Federal Aviation Administration, is tasked with choosing flight paths for commuter flights among five regional airports. There are to be flights from each airport to each of the others, so a flight path must be designated between each pair of airports. (Fortunately, there will never be flights going in both directions at once between any two airports, so only one path is needed.) Since the commuter planes will all wish to fly at altitudes between 10,000 and 14,000 feet, it will be safer if none of the flight paths cross. However, try as he might, Civil can't seem to come up with a set of paths that doesn't involve at least one crossing point for two or more of the paths.
Today's challenge: Can you help Civil come up with flight paths among all the five airports that don't cross over one another at any point, or failing that, prove that it can't be done?

HINT


Solution to yesterday's challenge



THE MATH STORE LIVES! At last, the new Math Store is open, including all the downloads we have offered in the past. Please come poke around the shop and let us know what you think!

NEW FOR 2012: Platonic Realms is at last being rewritten and moved to a new server. Please check back soon to see the new look, new content (together with all your old favorites), and an all new math store!







BUG FREE BLINK FREE

This site is registered with the Internet Content Rating Association (ICRA), and is suitable for all ages. Because we value freedom of expression on the internet as well as the privacy and comfort of our visitors, Platonic Realms is also bug-free and blink-free. Platonic Realms uses cookies for site-traffic analysis, but these automatically expire soon after your visit. Our privacy policy is very simple: we ALWAYS ask our visitors before collecting any personal information, and we NEVER share information about our visitors with anyone else. Period.


HOME | ABOUT | CONTACT | AD INFO | PRIVACY

Copyright © 1997-2013, Math Academy Online™ / Platonic Realms™. Except where otherwise prohibited, material on this site may be printed for personal classroom use without permission by students and instructors for non-profit, educational purposes only. All other reproduction in whole or in part, including electronic reproduction or redistribution, for any purpose, except by express written agreement is strictly prohibited. Please send comments, corrections, and enquiries using our contact page.