Fractal Terrains globe projection.

[Jice]

Hi all,

I recently needed this kind of projection for my world in order to build a custom globe.

I discovered that we can create custom projections for fractal terrains so I did one for my need.

Now I am sharing this with you in case anyone need it, enjoy

Past the following at the end of the file Projection.txt in the folder **\ProFantasy\FT3

You will now have 3 new projections: one for the north pole, one for the south pole and one with both.

//---------------------------------------------------------------------------

Projection 69, "Globe Pôle Nord"

Extent -3.14159265, 1.57079633, 3.14159265, -1.57079633
Scale 1
Description "Projection pour globe pole nord."

Segment "Sinusoidal", 0, -150, 0, 0, 1, 0, 0
Rotate 0
Offset 0, -0.5
Effective -165, 90, -135, 0
EndSegment

Segment "Sinusoidal", 0, -120, 0, 0, 1, 0, 0
Rotate 30
Offset 0.25, -0.43301270189221932338186158537647
Effective -135, 90, -105, 0
EndSegment

Segment "Sinusoidal", 0, -90, 0, 0, 1, 0, 0
Rotate 60
Offset 0.43301270189221932338186158537647, -0.25
Effective -105, 90, -75, 0
EndSegment

Segment "Sinusoidal", 0, -60, 0, 0, 1, 0, 0
Rotate 90
Offset 0.5, 0
Effective -75, 90, -45, 0
EndSegment

Segment "Sinusoidal", 0, -30, 0, 0, 1, 0, 0
Rotate 120
Offset 0.43301270189221932338186158537647, 0.25
Effective -45, 90, -15, 0
EndSegment

Segment "Sinusoidal", 0, 0, 0, 0, 1, 0, 0
Rotate 150
Offset 0.25, 0.43301270189221932338186158537647
Effective -15, 90, 15, 0
EndSegment

Segment "Sinusoidal", 0, 30, 0, 0, 1, 0, 0
Rotate 180
Offset 0, 0.5
Effective 15, 90, 45, 0
EndSegment

Segment "Sinusoidal", 0, 60, 0, 0, 1, 0, 0
Rotate 210
Offset -0.25, 0.43301270189221932338186158537647
Effective 45, 90, 75, 0
EndSegment

Segment "Sinusoidal", 0, 90, 0, 0, 1, 0, 0
Rotate 240
Offset -0.43301270189221932338186158537647, 0.25
Effective 75, 90, 105, 0
EndSegment

Segment "Sinusoidal", 0, 120, 0, 0, 1, 0, 0
Rotate 270
Offset -0.5, 0
Effective 105, 90, 135, 0
EndSegment

Segment "Sinusoidal", 0, 150, 0, 0, 1, 0, 0
Rotate 300
Offset -0.43301270189221932338186158537647, -0.25
Effective 135, 90, 165, 0
EndSegment

Segment "Sinusoidal", 0, 180, 0, 0, 1, 0, 0
Rotate 330
Offset -0.25, -0.43301270189221932338186158537647
Effective 165, 90, 195, 0
EndSegment

Segment "Sinusoidal", 0, -180, 0, 0, 1, 0, 0
Rotate -30
Offset -0.25, -0.43301270189221932338186158537647
Effective -195, 90, -165, 0
EndSegment

EndProjection

//---------------------------------------------------------------------------

Projection 70, "Globe Pôle Sud"

Extent -3.14159265, 1.57079633, 3.14159265, -1.57079633
Scale 1
Description "Projection pour globe pole sud."

Segment "Sinusoidal", 0, -150, 0, 0, 1, 0, 0
Rotate 0
Offset 0, 0.5
Effective -165, 0, -135, -90
EndSegment

Segment "Sinusoidal", 0, -120, 0, 0, 1, 0, 0
Rotate -30
Offset 0.25, 0.43301270189221932338186158537647
Effective -135, 0, -105, -90
EndSegment

Segment "Sinusoidal", 0, -90, 0, 0, 1, 0, 0
Rotate -60
Offset 0.43301270189221932338186158537647, 0.25
Effective -105, 0, -75, -90
EndSegment

Segment "Sinusoidal", 0, -60, 0, 0, 1, 0, 0
Rotate -90
Offset 0.5, 0
Effective -75, 0, -45, -90
EndSegment

Segment "Sinusoidal", 0, -30, 0, 0, 1, 0, 0
Rotate -120
Offset 0.43301270189221932338186158537647, -0.25
Effective -45, 0, -15, -90
EndSegment

Segment "Sinusoidal", 0, 0, 0, 0, 1, 0, 0
Rotate -150
Offset 0.25, -0.43301270189221932338186158537647
Effective -15, 0, 15, -90
EndSegment

Segment "Sinusoidal", 0, 30, 0, 0, 1, 0, 0
Rotate -180
Offset 0, -0.5
Effective 15, 0, 45, -90
EndSegment

Segment "Sinusoidal", 0, 60, 0, 0, 1, 0, 0
Rotate -210
Offset -0.25, -0.43301270189221932338186158537647
Effective 45, 0, 75, -90
EndSegment

Segment "Sinusoidal", 0, 90, 0, 0, 1, 0, 0
Rotate -240
Offset -0.43301270189221932338186158537647, -0.25
Effective 75, 0, 105, -90
EndSegment

Segment "Sinusoidal", 0, 120, 0, 0, 1, 0, 0
Rotate -270
Offset -0.5, 0
Effective 105, 0, 135, -90
EndSegment

Segment "Sinusoidal", 0, 150, 0, 0, 1, 0, 0
Rotate -300
Offset -0.43301270189221932338186158537647, 0.25
Effective 135, 0, 165, -90
EndSegment

Segment "Sinusoidal", 0, 180, 0, 0, 1, 0, 0
Rotate -330
Offset -0.25, 0.43301270189221932338186158537647
Effective 165, 0, 195, -90
EndSegment

Segment "Sinusoidal", 0, -180, 0, 0, 1, 0, 0
Rotate 30
Offset -0.25, 0.43301270189221932338186158537647
Effective -195, 0, -165, -90
EndSegment

EndProjection

//---------------------------------------------------------------------------

Projection 71, "Globe Bipolaire"

Extent -3.14159265, 1.57079633, 3.14159265, -1.57079633
Scale 1
Description "Projection pour globe bipolaire."

Segment "Sinusoidal", 0, -150, 0, 0, 1, 0, 0
Rotate 0
Offset 0-0.51, -0.5
Effective -165, 90, -135, 0
EndSegment

Segment "Sinusoidal", 0, -120, 0, 0, 1, 0, 0
Rotate 30
Offset 0.25-0.51, -0.43301270189221932338186158537647
Effective -135, 90, -105, 0
EndSegment

Segment "Sinusoidal", 0, -90, 0, 0, 1, 0, 0
Rotate 60
Offset 0.43301270189221932338186158537647-0.51, -0.25
Effective -105, 90, -75, 0
EndSegment

Segment "Sinusoidal", 0, -60, 0, 0, 1, 0, 0
Rotate 90
Offset 0.5-0.51, 0
Effective -75, 90, -45, 0
EndSegment

Segment "Sinusoidal", 0, -30, 0, 0, 1, 0, 0
Rotate 120
Offset 0.43301270189221932338186158537647-0.51, 0.25
Effective -45, 90, -15, 0
EndSegment

Segment "Sinusoidal", 0, 0, 0, 0, 1, 0, 0
Rotate 150
Offset 0.25-0.51, 0.43301270189221932338186158537647
Effective -15, 90, 15, 0
EndSegment

Segment "Sinusoidal", 0, 30, 0, 0, 1, 0, 0
Rotate 180
Offset 0-0.51, 0.5
Effective 15, 90, 45, 0
EndSegment

Segment "Sinusoidal", 0, 60, 0, 0, 1, 0, 0
Rotate 210
Offset -0.25-0.51, 0.43301270189221932338186158537647
Effective 45, 90, 75, 0
EndSegment

Segment "Sinusoidal", 0, 90, 0, 0, 1, 0, 0
Rotate 240
Offset -0.43301270189221932338186158537647-0.51, 0.25
Effective 75, 90, 105, 0
EndSegment

Segment "Sinusoidal", 0, 120, 0, 0, 1, 0, 0
Rotate 270
Offset -0.5-0.51, 0
Effective 105, 90, 135, 0
EndSegment

Segment "Sinusoidal", 0, 150, 0, 0, 1, 0, 0
Rotate 300
Offset -0.43301270189221932338186158537647-0.51, -0.25
Effective 135, 90, 165, 0
EndSegment

Segment "Sinusoidal", 0, 180, 0, 0, 1, 0, 0
Rotate 330
Offset -0.25-0.51, -0.43301270189221932338186158537647
Effective 165, 90, 195, 0
EndSegment

Segment "Sinusoidal", 0, -180, 0, 0, 1, 0, 0
Rotate -30
Offset -0.25-0.51, -0.43301270189221932338186158537647
Effective -195, 90, -165, 0
EndSegment

//

Segment "Sinusoidal", 0, -150, 0, 0, 1, 0, 0
Rotate 0
Offset 0+0.51, 0.5
Effective -165, 0, -135, -90
EndSegment

Segment "Sinusoidal", 0, -120, 0, 0, 1, 0, 0
Rotate -30
Offset 0.25+0.51, 0.43301270189221932338186158537647
Effective -135, 0, -105, -90
EndSegment

Segment "Sinusoidal", 0, -90, 0, 0, 1, 0, 0
Rotate -60
Offset 0.43301270189221932338186158537647+0.51, 0.25
Effective -105, 0, -75, -90
EndSegment

Segment "Sinusoidal", 0, -60, 0, 0, 1, 0, 0
Rotate -90
Offset 0.5+0.51, 0
Effective -75, 0, -45, -90
EndSegment

Segment "Sinusoidal", 0, -30, 0, 0, 1, 0, 0
Rotate -120
Offset 0.43301270189221932338186158537647+0.51, -0.25
Effective -45, 0, -15, -90
EndSegment

Segment "Sinusoidal", 0, 0, 0, 0, 1, 0, 0
Rotate -150
Offset 0.25+0.51, -0.43301270189221932338186158537647
Effective -15, 0, 15, -90
EndSegment

Segment "Sinusoidal", 0, 30, 0, 0, 1, 0, 0
Rotate -180
Offset 0+0.51, -0.5
Effective 15, 0, 45, -90
EndSegment

Segment "Sinusoidal", 0, 60, 0, 0, 1, 0, 0
Rotate -210
Offset -0.25+0.51, -0.43301270189221932338186158537647
Effective 45, 0, 75, -90
EndSegment

Segment "Sinusoidal", 0, 90, 0, 0, 1, 0, 0
Rotate -240
Offset -0.43301270189221932338186158537647+0.51, -0.25
Effective 75, 0, 105, -90
EndSegment

Segment "Sinusoidal", 0, 120, 0, 0, 1, 0, 0
Rotate -270
Offset -0.5+0.51, 0
Effective 105, 0, 135, -90
EndSegment

Segment "Sinusoidal", 0, 150, 0, 0, 1, 0, 0
Rotate -300
Offset -0.43301270189221932338186158537647+0.51, 0.25
Effective 135, 0, 165, -90
EndSegment

Segment "Sinusoidal", 0, 180, 0, 0, 1, 0, 0
Rotate -330
Offset -0.25+0.51, 0.43301270189221932338186158537647
Effective 165, 0, 195, -90
EndSegment

Segment "Sinusoidal", 0, -180, 0, 0, 1, 0, 0
Rotate 30
Offset -0.25+0.51, 0.43301270189221932338186158537647
Effective -195, 0, -165, -90
EndSegment

EndProjection

[waldronate]

Hooray!! Somebody finally got around to it!! Did you know that you can use numeric expressions like 3*pi+pi/6 in places where the file takes a number?

[Mouse]

Wow!

That's really clever.

Thank you very much

[Jice]

Hooray!! Somebody finally got around to it!! Did you know that you can use numeric expressions like 3*pi+pi/6 in places where the file takes a number?

I did not, but thanks to you I know now!

Edit: Can you use an expression for square root? like sqr maybe?

[waldronate]

Should be sqrt(). The parser is pretty much the same one found in Wilbur and the documentation for Wilbur ( http://fracterra.com/wilburdoc.zip ) should apply, for the most part. The functions present in FT (see the Wilbur documentation for discussion; # of parameters provided here for demonstration purposes) are:
"abs", 1
"acos", 1
"and", 2
"asin", 1
"atan", 1
"atan2", 2
"besselj", 2
"bessely", 2
"bias", 2
"ceil", 1
"cos", 1
"cosh", 1
"dist", 6
"e", 0
"eq", 2
"exp", 1
"floor", 1
"ge", 2
"gt", 2
"if", 3
"le", 2
"ln", 1
"log", 1
"lt", 2
"max", 2
"min", 2
"or", 2
"pi", 0
"pow", 2
"rem", 1
"sin", 1
"sinc", 1
"sqr", 1
"sqrt", 1
"tan", 1
"tanh", 1
"xor", 2
"xrot", 6
"yrot", 6

It's a bizarre assortment of functions, but it has trig functions and some of the others. For the conditionals (if, and, le, and so on), think of an unholy hybrid of Fortran and MS Excel.

[zhar2]

OMG i need this so bad

[waldronate]

And FT's "Pointy" projection is just 20 partial definitions away from being a linear approximation of an icosahedron...

[Naima]

Awesome thankyou .

[Arkidemis]

Thank you so much for this!