## 1 of N

This was the second of Eugene Sargent‘s and my collaboration creating participation math art sculptures for the Gathering for Gardner.

Here are notes.

The fundamental question is, what is N? How many paths were available to us, that passed through each 8th of the cube exactly once, passed through each 8th of those smaller cubes exactly once, and passed through each 8th of those still smaller cubes exactly once.

It’s a technical chore, but not too difficult to count paths that do this — but I don’t have the number of paths that do this and begin and end at the same place, another matter.

What is the correct name of this sculpure?