luxodrome

[JohnGardner]

Hi,

I am trying to create a luxodrome in Softimage, but I am not having much luck locating a solution. Is anyone aware of an ICE compound that will create a luxodrome/rhumb?

Here are some technical resources...
http://en.wikipedia.org/wiki/Rhumb_line
http://www.mathematische-basteleien.de/spiral.htm (scroll down & look for loxodrome)

Thanks,
John

[Daniel Brassard]

Very easy in ICE. It is a variation of the helical torus compound.

You already have the parametric formula. The loxodrome is a curve on the sphere, which cuts the meridians at a constant angle.

The parametric representation in Softimage is:

x= cos(t) * cos [1 / tan(at)]
y= - sin [1 / tan(at)]
z= sin(t) * cos [1 / tan(at)]

where a is constant of your choice and t the variable parameter.

Just download my ICE Topo Pack and modify the helical torus compound to match the formula above.

https://www.si-community.com/forum/v ... =19&t=2269

Not in front of Soft at this time but can post the ICEtree tonight.

[JohnGardner]

Great, thanks!!

[Matic]

The "phi" emitter I post on my site http://andy.moonbase.net/archives/1128 here also touches on this.

[Daniel Brassard]

Here you go.

I used the equation on Wolfram for this representation.

http://demonstrations.wolfram.com/LoxodromeArt/

[Daniel Brassard]

The compound

[Daniel Brassard]

You can also model very quickly the shape using a sphere

first create a sphere with enough subdivisions (24 x 24)

triangulate the sphere

delete every x polygons along the sphere in the Loxodrome pattern

Apply thickness, subdivide, render

[JohnGardner]

Thanks Daniel!

[JohnGardner]

Thanks Matic!

[Daniel Brassard]

And here is another version, graciously provided by Stephen on xsisupport blog

http://xsisupport.com/2013/07/31/ice-loxodrome/

So many ways to skin that cat! (the loxodrome ... not Stephen)