In how many different ways can a cube be decomposed?
A closed cube can be completely cut open so that each of the 6 sides is connected. You will need to cut exactly 7 edges of the cube. In how many different ways can a cube be decomposed? How can you show mathematically that this is so? Also how do you know if you have found all the cases?
I also need to know how many ways I can make 6 boxes connect whether or not they make a cube.
A closed cube can be completely cut open so that each of the 6 sides is connected. You will need to cut exactly 7 edges of the cube. In how many different ways can a cube be decomposed? How can you show mathematically that this is so? Also how do you know if you have found all the cases?
I also need to know how many ways I can make 6 boxes connect whether or not they make a cube.
