Galvagni figure numbers
The Galvagni figure for a shape is the smallest figure that can be tiled by that shape in more than one way.
The Galvagni figure number for a shape is the number of copies that fit inside.
For example, the Galvagni figure for a straight tromino is a square and the figure number is as shown in light purple.
For each of the pentominos, determine the Galvagni figure number and concatenate these numbers in order to create a 5-digit number. (Hint: one of the shapes has no Galvagni figure. Put for it).
The answer is 24024.
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1 solution
The picture shows the Galvagni figure for each and why the numbers for each are 2, 4, 0, 2, 4. The last one is interesting because there are 3 ways to tile it.
Incidentally, the concept is actually named after me. I proposed this as an extension to a problem on a monthly problem site quite a few years ago. However, I did not discover most of the actual figures.