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The shuffle kitten

Since Steiner systems $S(5,6,12)$ are unique up to relabelings, we should expect a ``kitten'' for the shuffle labeling. There is one and this section describes it. In Conway, [Co1], the MINIMOG for the ``modulo 11 labeling'' is given:

\begin{displaymath} \begin{array}{cccc} 0 & 3 & \infty & 2\ 5 & 9 & 8 & 10 \ 4 & 1 & 6 & 7 \end{array} \end{displaymath}

Comparing this MINIMOG with that for the shuffle labeling, we obtain the following kitten.
          6          
                     
          9          
                     
        10   8        
                     
      7   2   5      
                     
    9   4   11   9    
                     
  10   8   3   10   8  
                     
1                   0
                     

The Shuffle Kitten.
The ``views'' from each of the three ``points at infinity'' is given in the following tables.
5 11 3
8 2 4
9 10 7
5 11 3
2 4 8
7 9 10
8 10 3
9 11 4
5 2 7
picture at $6$ picture at $1$ picture at $0$

Example 5  


Next: Mathematical blackjack Up: MINIMOGs and Mathematical blackjack Previous: The MINIMOG description   Contents
David Joyner
2000-05-29