User:Le Forgeron/warp

• Everything about HgPovray38 in User:Le_Forgeron/HgPovray38
• Code is available on branch hgpovray38 at https://github.com/LeForgeron/povray

hyperbolic disc warp

perform an hyperbolic projection on a disc: Poincaré Hyperbolic disk.

• radius of the disc can be adjusted
• inside of the disc can be scaled before the projection

warp { disc [radius FLOAT] [scale FLOAT] }

#version 3.8; global_settings{ assumed_gamma 1.0 } camera { location <5, -20, 14> direction y sky z up z right image_width*x/image_height look_at 0 angle 15 } #default{ finish { emission 0.5 reflection 0.5 } } cylinder { 0.5*z, -0.5*z, 3 texture { checker texture { pigment { rgb <0.3,0.9,0> } } texture { pigment { rgb <1,0.0,0.5> } } warp { disc radius 2.75 scale 0.75 } } } light_source { <0, -10, 20> 1 }

rotation warp

rotate along the z axis

warp { rotate PerUnit }

#version 3.8; global_settings{ assumed_gamma 1.0 } camera { location <5, -20, 14> direction y sky z up z right image_width*x/image_height look_at 0 angle 20 } #default{ finish { emission 0.5 reflection 0.5 } } cylinder { 3.5*z, -3.5*z, 3 texture { checker texture { pigment { red 1 } } texture { pigment { green 1 } } warp { rotate -1/29 } } } light_source { <0, -10, 20> 1 }

direct to a surface

As a curiosity, the warp can be inversed by adding inverse after the last parameter.

cone

wrap around a circular cone (oriented along y axis) with apex at origin point and a radius of unit_base one unit away from that apex. The x=0 half-plane (for z>0) remains itself.

Each axis of parameter is the multiplying factor for that axe.

warp { cone <origin>,unit_base,<parameter> }

cone { <0,2,0>,0,<0,0,0>,1 texture { pigment { My_pigment warp { cone <0,2,0>,0.5,<3,5,7> } } } }	cone { <0,2,0>,0.5,<0,0,0>,1 texture { pigment { My_pigment warp { cone <0,4,0>,0.25,<3,5,7> } } } }

cylinder

wrap around a cylinder (oriented along y axis) with <0,0,0> moved at origin point. The x=0 half-plane (for z>0) remains itself.

Each axis of parameter is the multiplying factor for that axe.

warp { cylinder <origin>,<parameter> }

cylinder { <0,0,0>,<0,2,0>,1 texture { pigment { My_pigment warp { cylinder <0,1,0>,<3,5,7> } } } }

sphere

wrap around a sphere (main axe being the y axe) with <0,0,0> moved at origin point. The x=0 half-plane (for z>0) remains itself.

Each axis of parameter is the multiplying factor for that axe.

warp { sphere <origin>,<parameter> }

sphere { <0,0.5,0>,1 texture { pigment { My_pigment warp { sphere <0,0.5,0>,<3,5,7> } } } }

torus

wrap around a torus (oriented along y axis) with <0,0,0> moved at origin point and a major radius of major. The x=0 half-plane (for z>0) remains itself.

Each axis of parameter is the multiplying factor for that axe.

warp { torus <origin>,major,<parameter> }

torus { 0.55,0.45 texture { pigment { My_pigment warp { torus <0,0,0>,0.55,<3,5,7> } } } }