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

 Magic circle revisited (Posted on 2017-12-22)
Here are counters numbered 0-9 in a circle:
```                  0

1                   2

8                               7

4                               5

6                   3

9
```
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)

 Subject Author Date re: Unanswered question Javier 2017-12-27 12:17:37 Unanswered question Jer 2017-12-23 22:58:35 A trivial exception Steve Herman 2017-12-23 13:00:14 Computer exploration and OEIS identification. Charlie 2017-12-22 13:04:22 Starting observation: The Starting Point Steve Herman 2017-12-22 10:04:54

 Search: Search body:
Forums (0)