Camera

Hgpovray

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Camera

##Additional camera to map a planet

• position the camera as a satellite above the center point of the map (location)
• direction should point (relatively) to the center of the planet (location+direction == center)
• aspect ratio of output image should match the expected ratio of the projection, unless you want it otherwise for a stretched result

###aitoff_hammer

• ratio 2:1

###eckert_iv

• ratio 2:1

###eckert_vi

• ratio 2:1

###lambert_azimuthal

• ratio 1:1

###mercator

• ratio is up to you, it's impossible to reach the poles

###miller_cylindrical

• ratio 1.3638862 or 1:0.733

###mollweide

• ratio 2:1

###platecarree

• ratio 2:1

###van_der_grinten

• ratio 1:1

Cylindrical Equal Area Projection

• ratio formula is π.cos²(φ) with φ the standard parallel.

####balthasart

• ratio is about 1.3
• the standard parallel of the projection is 50°

####behrmann

• ratio is 3π:4 (about 2.36)
• the standard parallel of the projection is 30°

####edwards

• ratio is about 2
• the standard parallel of the projection is 37°24'

####gall

• ratio is π:2 or golden ratio (φ) (both near 1.6)
• the standard parallel of the projection is 45°

####hobo_dyer

• ratio is about 2
• the standard parallel of the projection is 37°30'

####lambert_cylindrical

• ratio is π
• the standard parallel of the projection is 0°

####peters

• ratio is about π:2 or golden ratio φ (not exactly the same thing, but around 1.6).
• the standard parallel of the projection is 44.138°.

####smyth_craster

• ratio is about 2
• the standard parallel of the projection is 37°04'

unfolding platonic

Of the 5 platonic solids, 4 are easy to unfold to make a map. The dodecahedron is not available so far.

####tetra

• ratio is about 2.886 ( 5:√3 )

####cube

• ratio is 2.5 ( 5:2 )

####octa

• ratio is about 2.3 ( 4:√3 )

####icosa

• ratio is about 2.1169 ( 11:3√3 )