granuliet1u

2022-08-03

Show that every two blocks have at most one vertex in common

nedervdq3

Beginner2022-08-04Added 13 answers

let us consider a cube of lenght L

If we cut the cube into n number of blocks,we can find the atmost one vertex in common.

consider a 3*3 rubox cube.

In this we can see the a cube of one side is not having a common vertex with the block of the other side of the cube

where as the block of one side of the cube will have a common vertex of one with the block of the same side.

Hence we can say that the two blocks can have at most one vertex as common

If we cut the cube into n number of blocks,we can find the atmost one vertex in common.

consider a 3*3 rubox cube.

In this we can see the a cube of one side is not having a common vertex with the block of the other side of the cube

where as the block of one side of the cube will have a common vertex of one with the block of the same side.

Hence we can say that the two blocks can have at most one vertex as common

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