all the odd numbers. (See Plate I. fig. 1.) There is now a single wall divided into nine squares or compartments; these we shall name places, and say, the first place, second place, third place, etc. etc.
The same mode must be pursued with the three remaining walls in this room; by these means, for walls are obtained—each being divided into nine places. In order to find the number 36 in this room, we should naturally say four times nine will be 36, and should, of course, conclude that 36 would be in the last place of the last side or fourth wall of the room: but this calculation is erroneous; 6 must ever be in the same situation, which will be that occupied by the point in the following figure:
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The place occupied by the number 6, in all the four walls, would be thus designated:
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