Introduction
My investigation is to find out the number of hidden faces when x amount of cubes are placed on a table.
E.g.
1 cube
6 faces
5 faces visible
1 face hidden
Number
Visible faces
Hidden faces
5
2
8
4
3
1
7
4
4
0
5
7
3
6
20
6
7
23
29
8
26
22
9
25
29
0
28
32
It is clear from the table that there is a common pattern apparent in both the progression of visible faces and the progression of hidden faces. In fact both share the same pattern in that they both progress by 3 with each addition of a block.
My investigation is to find out the number of hidden faces when x amount of cubes are placed on a table.
E.g.
1 cube
6 faces
5 faces visible
1 face hidden
Number
Visible faces
Hidden faces
5
2
8
4
3
1
7
4
4
0
5
7
3
6
20
6
7
23
29
8
26
22
9
25
29
0
28
32
It is clear from the table that there is a common pattern apparent in both the progression of visible faces and the progression of hidden faces. In fact both share the same pattern in that they both progress by 3 with each addition of a block.