Comments on: The Mathieu groupoid (1) http://www.neverendingbooks.org/index.php/the-mathieu-groupoid-1.html lieven le bruyn's blog Fri, 20 Jan 2012 16:50:41 +0100 hourly 1 http://wordpress.org/?v=3.3.1 By: The M(13)-groupoid (2) | neverendingbooks http://www.neverendingbooks.org/index.php/the-mathieu-groupoid-1.html/comment-page-1#comment-3747 The M(13)-groupoid (2) | neverendingbooks Wed, 02 Jan 2008 19:11:12 +0000 http://www.neverendingbooks.org/?p=17#comment-3747 <p>[...] for Mathieu-gamesConway’s puzzle M(13)The 15-puzzle groupoid (1)The 15-puzzle groupoid (2)The Mathieu groupoid (1)Mathieu’s blackjack (1)Mathieu’s blackjack (2)Mathieu’s blackjack (3)The [...]</p> [...] for Mathieu-gamesConway’s puzzle M(13)The 15-puzzle groupoid (1)The 15-puzzle groupoid (2)The Mathieu groupoid (1)Mathieu’s blackjack (1)Mathieu’s blackjack (2)Mathieu’s blackjack (3)The [...]

]]> By: Doug http://www.neverendingbooks.org/index.php/the-mathieu-groupoid-1.html/comment-page-1#comment-188 Doug Thu, 21 Jun 2007 16:06:05 +0000 http://www.neverendingbooks.org/?p=17#comment-188 Just a thought on the largest clock-face like M13 diagram in your post. If instead of the dot at the 12:00 position: a - there was a 0, then would this be consistent with classic modulo (13) numbering based upon von Neumann construction? b - there was a 13, then would this be consistent with clock-face numbering based upon Cantor construction? Since this is a projection, perhaps this could also be a distorted helix so that all numbers from 0-12 could be shown? Just a thought on the largest clock-face like M13 diagram in your post.

If instead of the dot at the 12:00 position:
a – there was a 0, then would this be consistent with classic modulo (13) numbering based upon von Neumann construction?
b – there was a 13, then would this be consistent with clock-face numbering based upon Cantor construction?

Since this is a projection, perhaps this could also be a distorted helix so that all numbers from 0-12 could be shown?

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