SET® Mathematics
No SET Mapping
| The largest group of cards you can put together without creating a set is 20. By following this method, you'll understand how. |
 If we choose just two characteristics of a card (for example,
shape and number), we can then plot it on a matrix.
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So now we can see if three cards form a set by noticing
if they make a line on the matrix, as shown below. These three cards
all have one object and different shapes.
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| Similarly, the following lines all produce sets, even if
they wrap around the matrix in space like the one on the far right. |
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Now the following following matrix shows us how many squares
we can fill without creating a line: 4.
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| Now we can add a third characteristic, color...and we can
think of the matrix as a depiction of a 3D tic tac toe board. You can
see below how to plot 9 cards without a set. |
| When using all four SET® card properties, we can plot
a 20 card no set. |
