Solution
16:
A) There is only one way to make a loop using only diagonal tiles if the cube is not fixed. There are 4 ways if it's fixed.
B) Obviously, there is no way to make a loop using only orthogonal tiles.
C) Using both tiles, there are two ways to make a loop (They include using two orthogonal tiles and four diagonal tiles, two orthogonal lines on opposite faces and perpendicular to each other). There are three ways to orient the fixed cube and two ways to orient the orthogonal lines for each of these three ways; making 2x3x2=12 ways.
Total 16.
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