Spiral Equation

[Mr_Bean]

Hello,

Is there an equation of some sorts to determine a spiral path? I need to know how to do this for one of my future spell requests. Basically an object spirals outwards from the caster until it reaches a specific distance. Any ideas?

Thanks,

Mr_Bean

 

[claptomanic]

please make an archimedean spiral ^^

like this one

 

[defskull]

A spiral SFX ?
A spiral movement of dummy unit ?
You have to be specific.

 

[Mr_Bean]

It ill be a dummy unit. I want a way to calculate the next point for the unit to be moved to.

 

[defskull]

Each interval, increase offset, increase angle.
That's all there is to it, really.

By increasing offset, you will have a circular shape that gets bigger each interval (your unit will move away from the central object (Caster) per interval, forming spiral movement)

By increasing angle, your unit will have constant motion around central object (Caster).

 

[Asomath]

Defskull is correct. Just use a polar offset, increasing the angle around the caster unit, and the offset from the caster unit, at each interval.

Archimedeans spiral uses the equation:

r = a + b * (degrees)

with the next point being (r, degrees).

a is the initial distance of the object at the initial angle. B is simply a value that effects the offset.

So, with that, repeated iterations of:

• Set RValue = (60.00 + (0.25 x Degrees))
• Unit - Move dummy_unit instantly to ((Position of Caster <gen>) offset by RValue towards Degrees degrees) facing (Position of Caster <gen>)
• Set Degrees = (Degrees + 30.00)

Makes a Spiral trajectory! Keep in mind that the 60, the .25, and the +30 to the degrees are all values that I made up to effect the shape of the spiral. You'll have to edit them to fit your needs.

Cheers,
~Asomath

 

[Mr_Bean]

Thanks guys. I actually created this thread because I had a different spiral pattern in mind for claptomanic's request, but after he explained better I realised that it would be simple to do.

 

[defskull]

I guess your workshop must be full of credits list eh ?
Naah just kidding

 

[Almia]

Maybe this spells of mine could help you Mr_Bean987
-Kinetic Ring
-Maelstrom
-Whirling Axe