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original mathematical recreations. If you
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answers to the problem of the month.
Math Magic Archive

Problem of the Month (May 2013)

Given some subset of the digit shapes below, what is the maximum fraction of a square they can cover? The digits can be any size, but can not overlap.

For example, here are the best-known solutions for only one digit:

One Digit

12 / 25

5 / 18

11 / 25

11 / 25

45 / 121

11 / 25

12 / 25

35 / 121

13 / 25

What are the best solutions for 2 through 9 digits?


You can see all the best known results here.

Submit your answers here.

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