Try-Cycle Puzzle

You may Try 3 (Tri) challenges
using the mathematically complete
set of the 4 different woods on 6 four pieces.
1 - Uni-Cycle: Simply form a cube (easy)
2 - Bi-Cycle: Each corner of the cube must be
one single colour (trickier)
3 - Tri-Cycle: The cube must have no identical colour touching anywhere, not even diagonally or on an edge (a little more thought required...)