All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Points On A Circle (Posted on 2004-08-14) Difficulty: 4 of 5
I placed six points on the circumference of a circle such that the distance between any two of the points is an integer. What is the smallest such circle I could use?

What if each distance must be unique?

No Solution Yet Submitted by ThoughtProvoker    
Rating: 4.4286 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
No solution for distinct differences ? | Comment 9 of 17 |

If all 15 distances among the 6 points on the circle have to be distinct, my program couldn't find any solution even for a circle of radius = 500. There might be a deep mathematical reason why six points can't have distinct distances. It would take a good mathematician to prove or disprove this.

(Over the door of Plato's Academy was the sign "Let no one ignorant of Geometry enter here.")

  Posted by Penny on 2004-08-17 06:19:22
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information