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

Home > Numbers
Magic circle revisited (Posted on 2017-12-22) Difficulty: 3 of 5
Here are counters numbered 0-9 in a circle:

        1                   2

  8                               7

  4                               5

        6                   3

The property that makes it a magic circle is: there is a specific starting counter (in this case the 9) so that if you proceed clockwise by that number of steps and repeat the process with each new number you eventually visit every number and end at zero.

Given numbers 0-n:
For what values of n does a magic circle exist?
For a given value of n, how many magic circles exist?
Are there infinite families of magic circles?

No Solution Yet Submitted by Jer    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Unanswered questionJavier2017-12-27 12:17:37
Unanswered questionJer2017-12-23 22:58:35
A trivial exceptionSteve Herman2017-12-23 13:00:14
SolutionComputer exploration and OEIS identification.Charlie2017-12-22 13:04:22
Starting observation: The Starting PointSteve Herman2017-12-22 10:04:54
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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information