Hi everyone,

For those reading the Lough Caillte saga you would have noticed that we were debating the sizes and dimensions of the spell "Summon the Mythic Tower". The spell has base 3 (stone), +1 Touch, +4mags size, +3 complexity)

Base for stone is 1 cubic pace.

4 magnitudes is 10,000 cubic paces.

1 pace is 2.5 ft

Therefore 10,000 cubic paces becomes 156,250 cubic feet.

The spell creates a stone tower that it 100ft tall and 30 across. It doesn't mention if it is circular or square, but either is fine.

Taking as a base walls/ceiling as 5ft thick, and each floor will have 8ft of headroom. 8+5 =13. 80/13 ~ 6 floors

Circular tower (solid stone):

Total volume is (pi * r^2 * h) : pi * 15 * 15 *100 = 70685 cu ft.

Foundations are 20ft deep - therefore 1/5th of total volume (14137 cu ft).

Each Floor is 13 * 15 * 15 * pi = 9189 cu ft

Square tower (solid stone):

Total volume is (l^2 * h) : 30 * 30 *100 = 90000 cu ft.

Foundations are 20ft deep - therefore 1/5th of total volume (18000 cu ft).

Each Floor is 13 * 30 * 30 = 11700 cu ft

Now these are the figures for SOLID STONE, which is no-use to anyone. If we use hollow spaces in each tower, the overall stone used goes down.

Taking as a base walls/ceiling as 5ft thick, and each floor will have 8ft of headroom. 8+5 =13. 80/13 ~ 6 floors

Circular tower (living spaces):

Total volume is (pi * r^2 * h) : pi * 15 * 15 *100 = 70685 cu ft.

Foundations are 20ft deep - therefore 1/5th of total volume (14137 cu ft).

Each Floor is (vol of floor - vol of space)

(13 * 15 * 15 * pi) - (8 * 10 * 10 * pi) = 9189 - 2513 = 6676 cu ft

Total Stone used is (6 * 6676) + 14137 = 54193 cu ft

Square tower (living spaces):

Total volume is (l^2 * h) : 30 * 30 *100 = 90000 cu ft.

Foundations are 20ft deep - therefore 1/5th of total volume (18000 cu ft).

Each Floor is (vol of floor - vol of space)

(13 * 30 * 30) - (8 * 20 * 20) = 11700 - 3200 = 8500 cu ft

Total Stone used is (6 * 8500) + 18000 = 69000 cu ft

As you can see, neither 69K cu ft or 54K cu ft come close to the 156 cu ft of stone that the spell can create. So it seems that the spell was designed *NOT* to create the maximum amount of stone and use it. Therefore it should be possible to create a larger structure using the same level effect.

Putting 1/5th into a foundation to keep the tower solid, we could have a square tower of 14 floors, or a circular one of 18 floors.

Or the same basic 6 floor tower could be made larger

Foundations are 1/5th of total volume (31250 cu ft).

156,250 - 31,250 = 125,000K cu ft.

125000/6 = 39788 cu ft per floor.

Each Floor is (vol of floor - vol of space)

Large Circular tower (living spaces):

(13 * r * r * pi) - (8 * (r-5) * (r-5) * pi) = 39788

Large Square tower (living spaces):

(13 * w * l) - (8 * (w-10) * (w-10) )= 39788 cu ft

My maths knowledge gives out here, been too many years since I did algebra.

But I'm guessing that those 6 floors would be a lot larger

What does everyone else think?