Spell Casting Tables - Revision history

WikiAdmin: /* Spell Casting Tables */

2020-12-27T00:59:52Z

Spell Casting Tables

← Older revision		Revision as of 00:59, 27 December 2020
Line 1:		Line 1:
	==~~Spell Casting Tables~~==		==Potential Drain==
	{\| class="wikitable" style="width:500px;"		{\| class="wikitable" style="width:500px;"
	\|+ Potential Drain Chart		\|+ Potential Drain Chart
Line 87:		Line 87:
	\| 3,486,784,401		\| 3,486,784,401
	\|}		\|}

	==Area of Effect Shapes==		==Area of Effect Shapes==

2020-12-27T00:59:33Z

← Older revision		Revision as of 00:59, 27 December 2020
Line 1:		Line 1:
			==Spell Casting Tables==
	{\| class="wikitable" style="width:500px;"		{\| class="wikitable" style="width:500px;"
	\|+ Potential Drain Chart		\|+ Potential Drain Chart

2020-12-27T00:56:26Z

Dome

← Older revision		Revision as of 00:56, 27 December 2020
Line 249:		Line 249:

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

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

2020-12-27T00:53:03Z

Dome

← Older revision		Revision as of 00:53, 27 December 2020
Line 245:		Line 245:
	* The radius <math>a</math> of the base of the cap		* The radius <math>a</math> of the base of the cap
	* The height <math>h</math> of the cap		* The height <math>h</math> of the cap
	[[File:Dome.gif\|border]]		[[File:Dome.gif\|border\|right]]
	<math>v=\frac{\pi h^2}{3}(3r-h)		<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:		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:
	<math>r=\frac{2}{3}^\frac{1}{3}</math>		<math>r=\frac{2}{3}^\frac{1}{3}</math>

2020-12-27T00:52:04Z

Cone

← Older revision		Revision as of 00:52, 27 December 2020
Line 240:		Line 240:
	* To determine the height when the radius is known: <math>r=\sqrt{\frac{3v}{\pi h}}</math>		* 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>		* 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
			[[File:Dome.gif\|border]]
			<math>v=\frac{\pi h^2}{3}(3r-h)

			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:
			<math>r=\frac{2}{3}^\frac{1}{3}</math>

2020-12-27T00:35:43Z

Cone

← Older revision		Revision as of 00:35, 27 December 2020
Line 237:		Line 237:
	[[File:Volume-of-cone.png\|border]]		[[File:Volume-of-cone.png\|border]]

	Other useful iterations are to determine the height when the radius is known:		Other useful iterations are:
	<math>h=\frac{3v}{\pi r^2}</math>		* 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>

2020-12-27T00:33:28Z

Cone

← Older revision		Revision as of 00:33, 27 December 2020
Line 238:		Line 238:

	Other useful iterations are to determine the height when the radius is known:		Other useful iterations are to determine the height when the radius is known:
	<math>h=\frac{3v}{\~~pir~~^2}</math>		<math>h=\frac{3v}{\pi r^2}</math>

2020-12-27T00:33:10Z

Cone

← Older revision		Revision as of 00:33, 27 December 2020
Line 236:		Line 236:
	A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)		A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)
	[[File:Volume-of-cone.png\|border]]		[[File:Volume-of-cone.png\|border]]
	<math>V=~~\pi r^2~~\frac{h}{3}</math>
			Other useful iterations are to determine the height when the radius is known:
			<math>h=\frac{3v}{\pir^2}</math>

2020-12-27T00:26:44Z

Useful Formulas

← Older revision		Revision as of 00:26, 27 December 2020
Line 235:		Line 235:
	===Cone===		===Cone===
	A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)		A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)
	[[File:~~volume~~-of-cone.png\|border]]		[[File:Volume-of-cone.png\|border]]
	<math>V=\pi r^2\frac{h}{3}</math>		<math>V=\pi r^2\frac{h}{3}</math>

2020-12-27T00:25:55Z

Useful Formulas

← Older revision		Revision as of 00:25, 27 December 2020
Line 235:		Line 235:
	===Cone===		===Cone===
	A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)		A cone's volume depends on two factors: <math>r</math> (Radius) and <math>h</math> (height)
	[[~~file~~:volume-of-cone.png]]		[[File:volume-of-cone.png\|border]]
	<math>V=\pi r^2\frac{h}{3}</math>		<math>V=\pi r^2\frac{h}{3}</math>