Number all pedestals from left to right, top to bottom. The top floor has 16 pedestals, the floor below 9 and the bottom floor 4. The statues are round (R), square (S) or triangular (T). The solution:
Floor 1: 1S, 2S, 3T, 4S, 7S, 8(down)
Floor 2: 1T, 3S, 1T, 2(up)
Floor 1: 12R, 8(down)
Floor 2: 8 (down)
Floor 3: 2T, 3(up)
Floor 2: 9T, 7S, 9T, 2(up)
Floor 1: 16S, 15R, 8(down)
Floor 2: 8(down)
Floor 3: 4(down)