Hexahedra puzzles from Enclave 1

These puzzles were originally created for Enclave 1 (Easter 2025). They're now here in a slightly modified form so that those who weren't at the event can have a go at them.

There was a fifth puzzle, Cube Conundrum, which doesn't translate well to an online-only puzzle. It presented players with a screenshot of a Hexahedra factory and asked them to work out what a cube would look like before it was shipped. At the event was a collection of cube panels containing RFID cards, which could be scanned by an Arduino. Presenting the correct faces to the Arduino would get it to reveal the answer to the puzzle.