# Tag Info

Accepted

### A colorful dodecahedron

Partial Answer: Solution: Other Solutions: Fun Stuff:

### 16 queens puzzle

For the question of maximizing the number of sets of $8$ queens, define a graph with a node for each of the $92$ solutions for $8$ queens and an edge for each pair of solutions that share a cell. Now ...
Accepted

### Closed path on a dodecahedron

2nd Update: I have found a small number of solutions.

### A colorful dodecahedron

Designing the puzzle took much more effort than solving it. While the mirror symmetrical solution can be found manually, for a complete survey a computer aided search is necessary. This can be done ...

### How many 4x4 Latin Squares are there?

For any solution, we can relabel the numbers so that the top row reads 1,2,3,4. Given that, there are only This means there are

### A colorful dodecahedron

I have found more than 1 solution.
Accepted

Accepted

### Tile 1x2 dominoes in a 2x10 space

Answer: Solution: Suppose that a $2\times N$ space can be tiled in $f(N)$ ways. Bonus: Bonus, alternate solution: Suppose that a $2\times N$ space can be tiled in $g(N)$ ways with identical painted ...