The Magic Square

1) Ladder out to Overland map area D3 in the Hawkseye Hills, map entry 1.
2) A platinum lever protrudes from the wall. When you have solved the Magic Square by setting all the spinning polyhedrons correctly you get the price after pulling this lever: +2 Intelligence, 20 gems, 200 gold and 2000 EXP (quest 32). The correct settings are listed with the corresponding map entries and at the buttom of this page is a description on how this Magic Square actually works.
3) A glowing polyhedron is set on side 16.
4) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 3.
5) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 2.
6) A glowing polyhedron is set on side 13.
7) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 5.
8) A glowing polyhedron is set on side 10.
9) A glowing polyhedron is set on side 11.
10) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 8.
11) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 9.
12) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 6.
13) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 7.
14) A glowing polyhedron is set on side 12.
15) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 4.
16) A glowing polyhedron is set on side 15.
17) A glowing polyhedron is set on side 14.
18) Atop a crystal pyramid spins a glowing polyhedron. Stop it on side (1-9)? The correct setting is 1.
M) Monsters.

A magic square is a mathemathical phenomenon where different numbers are placed in rows and columns to form a square in such a way that all sums, vertically, horisontally and diagonally equal the same number (this is not a scientific definition, merely my attempt at explaing it....). Magic squares often have more solutions, as do this one. Here, however, only one particular solution is accepted. Imagine the numbers for each polyhedron in the map of the Magic Square (map entries 3-18) arranged in a 4 by 4 square (Red numbers are the fixed ones):

16
3
2
13
5
10 11
8
9
6
7
12
4
15 14
1

All sums vertically, horisontally and diagonally now equals 34. Magic squares aren`t that hard to solve, once you know how. In this one, the numbers from 1 through 16 must all be used once each. The average number is 8,5 ((1+16)/2). Each sum consists of 4 numbers that also each average 8,5. 4 times 8,5 is 34. Now you know the sum of each line. The rest is trial and error.