Spell Casting Tables

Potential Drain

Potential Drain Chart

Drain	Range meters	Area of Effect cubic meters
1	2	3
2	4	9
3	8	27
4	16	81
5	32	243
6	64	729
7	128	2,187
8	256	6,561
9	512	19,683
10	1,024	59,049
11	2,048	177,147
12	4,096	531,441
13	8,192	1,594,323
14	16,384	4,782,969
15	32,768	14,348,907
16	65,536	43,046,721
17	131,072	129,140,163
18	262,144	387,420,489
19	524,288	1,162,261,467
20	1,048,576	3,486,784,401

Area of Effect Shapes

Drain	Sphere m Radius	Cube m per side	Cylinder Radius 3m High
1	1	1	1.75
2	1	2	3
3	2	3	5.25
4	3	4	9.25
5	4	6	16
6	6	9	27.75
7	8	13	48
8	12	19	83
9	17	27	143.5
10	24	39	248.5
11	35	56	430.75
12	50	81	746
13	72	117	1 km
14	105	168	2 km
15	151	243	4 km
16	217	350	7 km
17	314	505	11 km
18	452	729	20 km
19	652	1,051	34 km
20	941	1,516	60 km

Area of Effect Nuances

Caster’s do not have to use circles or cubes. They can shape the spell how they want. The general rule is that you need to be able to visualize the area. For example, a circular area with three “holes” is easy to imagine. Picking all the friendly soldiers on the battlefield is not. A caster can visualize a number of holes equal to their Quickness The chart below shows the minimum sides of an area that a caster can use. In other words, a caster cannot create spell with a 0m side and therefore make the spell infinitely large.

Magical Theory Skill	Minimum Side	Magical Theory Skill	Minimum Side
1	1m	6	0.5m
2	0.9m	7	0.4m
3	0.8m	8	0.3m
4	0.7m	9	0.2m
5	0.6m	10+	0.1m

Useful Formulas

Cone

A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)

Other useful iterations are:

• To determine the height when the radius is known: <math>r=\sqrt{\frac{3v}{\pi h}}</math>
• To determine the radius when the height is known: <math>h=\frac{3v}{\pi r^2}</math>

Dome

Sphere's have the problem that, in many instances, the bottom of the sphere is below ground. The caster doesn't really need a full sphere, a dome is sufficient. The formula for a dome depends on whether the caster is using a full half sphere or a smaller cap. The volume of the spherical cap and the area of the curved surface may be calculated using combinations of

• The radius <math>r</math> of the sphere
• The radius <math>a</math> of the base of the cap
• The height <math>h</math> of the cap

<math>v=\frac{\pi h^2}{3}(3r-h)</math>

Most commonly, the caster will be casting a hemisphere, where the r and a are equivalent. In this case, to determine the radius from the volume, use this formula:

v=(2/3)PI()r^3

<math>r=(\frac{3v}{2 \pi})^\frac{1}{3}</math>