Pretty cool game. As a fellow enjoyer of Non Euclidean geometry (and Minesweeper) this is pretty nice!
If you are planning on continuing to work on the game I would like to note a bug I found where restarting does not actually revert the number of mines found. If I start a game it will say 30 mines are present, if I flag 10 mines it will say that 20 are present. if I then restart, it will go back to 30, but when I then flag a mine, it will jump back to 19 mines.
I also think some better camera controls could help the game. I think the flying controls work okay, but I think it would be nice to have the option to spin the model around with the mouse as well (maybe scrolling moves the camera in and out, and pressing the middle mouse button lets you pan around).
These are somewhat minor nitpicks and I will definitely be playing some more!