// see below for usage instructions and example

#macro UVBake(numvertices, vertices, numuvs, uvs, numfaces, faces, uvindices,  thePigment)
	// define the pigment as red green and blue channel functions
	#local pigfunction = function{pigment{thePigment}}
	#local pigChannel = array[3];
	#local pigChannel[0] = function {pigfunction(x,y,z).red}
	#local pigChannel[1] = function {pigfunction(x,y,z).green}
	#local pigChannel[2] = function {pigfunction(x,y,z).blue}

	// is the point (u,v) within the triangle with these three vertices?
	#local isintriangle = function(u,v, x1,y1, x2,y2, x3,y3) {
		select (
			(x2-x1)*(y3-y2) - (y2-y1)*(x3-x2),
			select (
				(x2-x1)*(v-y1) - (y2-y1)*(u-x1),
				select (
					(x3-x2)*(v-y2) - (y3-y2)*(u-x2),
					select (
						(x1-x3)*(v-y3) - (y1-y3)*(u-x3),
						1,
						-1
					),
					-1
				),
				-1
			),
			select (
				(x2-x1)*(v-y1) - (y2-y1)*(u-x1),
				-1,
				select (
					(x3-x2)*(v-y2) - (y3-y2)*(u-x2),
					-1,
					select (
						(x1-x3)*(v-y3) - (y1-y3)*(u-x3),
						-1,
						1
					)
				)
			)
		)
	}

	// these functions take a 2D point and 3 2D points making up a triangle,
	// and then 3 3D points which correspond to vertices in space,
	// and interpolate the 3D points based on how close the 2D point is to the corresponding 2D vertices.
	// it then samples that point in the pigment for the appropriate color channel.
	// there may be room for optimization here, or maybe not.

	#local interpcoord = function(v1, v2, a,b,c) {
		a + (b + (c-b)*v2 - a)*v1
	}

	#local sampletruecoordslayer2 = function(v1, v2, v1x,v1y,v1z, v2x,v2y,v2z, v3x,v3y,v3z, colorindex) {
		select(
			colorindex-0.5,
			// red
			pigChannel[0](interpcoord(v1,v2, v1x,v2x,v3x), interpcoord(v1,v2, v1y,v2y,v3y), interpcoord(v1,v2, v1z,v2z,v3z)),
			select(
				colorindex-1.5,
				// green
				pigChannel[1](interpcoord(v1,v2, v1x,v2x,v3x), interpcoord(v1,v2, v1y,v2y,v3y), interpcoord(v1,v2, v1z,v2z,v3z)),
				// blue
				pigChannel[2](interpcoord(v1,v2, v1x,v2x,v3x), interpcoord(v1,v2, v1y,v2y,v3y), interpcoord(v1,v2, v1z,v2z,v3z))
			)
		)
	}
	
	#local getv2 = function(R, ax,ay, bx,by, cx,cy) {
		(R*(by-ay) - (bx-ax))/((cx-bx) - R*(cy-by))
	}
	#local getv1 = function(v2, py, ay, by, cy) {
		(py-ay)/(by + (cy-by)*v2 - ay)
	}

	#local sampletruecoordslayer1 = function(v2, py, ay, by, cy, v1x,v1y,v1z, v2x,v2y,v2z, v3x,v3y,v3z, colorindex) {
		sampletruecoordslayer2(getv1(v2, py, ay, by, cy), v2, v1x,v1y,v1z, v2x,v2y,v2z, v3x,v3y,v3z, colorindex)
	}
	
	#local sampletruecoords = function(px,py, ax,ay, bx,by, cx,cy, v1x,v1y,v1z, v2x,v2y,v2z, v3x,v3y,v3z, colorindex) {
		sampletruecoordslayer1(getv2((px-ax)/(py-ay), ax,ay, bx,by, cx,cy), py, ay, by, cy, v1x,v1y,v1z, v2x,v2y,v2z, v3x,v3y,v3z, colorindex)
	}
	

	// the facecolor functions take a (u,v) coordinate that's on a certain face's texture,
	// and return the color of the pigment at the (x,y,z) coordinate of that spot on the face at its physical location.
	#local facecolor = array[numfaces];
	#local facenum = 0;
	#while (facenum < numfaces)
		#local v1u = uvs[uvindices[facenum].x].u;
		#local v1v = uvs[uvindices[facenum].x].v;
		#local v2u = uvs[uvindices[facenum].y].u;
		#local v2v = uvs[uvindices[facenum].y].v;
		#local v3u = uvs[uvindices[facenum].z].u;
		#local v3v = uvs[uvindices[facenum].z].v;

		#local v1x = vertices[faces[facenum].x].x;
		#local v1y = vertices[faces[facenum].x].y;
		#local v1z = vertices[faces[facenum].x].z;
		#local v2x = vertices[faces[facenum].y].x;
		#local v2y = vertices[faces[facenum].y].y;
		#local v2z = vertices[faces[facenum].y].z;
		#local v3x = vertices[faces[facenum].z].x;
		#local v3y = vertices[faces[facenum].z].y;
		#local v3z = vertices[faces[facenum].z].z;
		#local facecolor[facenum] = function (u,v, colorindex) {
			sampletruecoords(u,v, v1u,v1v, v2u,v2v, v3u,v3v, v1x,v1y,v1z, v2x,v2y,v2z, v3x,v3y,v3z, colorindex)
		}
		#local facenum = facenum + 1;
	#end

	// the uvsample function takes a (u,v) coordinate, determines which face it's on
	// (with a SLOW O(n) check that could probably be optimized somehow), and returns
	// the color of the pigment that the (u,v) coordinate corresponds to in 3D space.
	// this part might have problems with the function being too big if there are too many faces. =(
	#local uvsample = function(u,v, colorindex) {
		#local facenum = 0;
		#while (facenum < numfaces)
			#local v1x = uvs[uvindices[facenum].x].u;
			#local v1y = uvs[uvindices[facenum].x].v;
			#local v2x = uvs[uvindices[facenum].y].u;
			#local v2y = uvs[uvindices[facenum].y].v;
			#local v3x = uvs[uvindices[facenum].z].u;
			#local v3y = uvs[uvindices[facenum].z].v;
			select (
				isintriangle(u,v, v1x, v1y, v2x, v2y, v3x, v3y),
			#local facenum = facenum + 1;
		#end
		// if we couldn't find a face this point was in, use grey
		0.5,
		#local facenum = numfaces - 1;
		#while (facenum >= 0)
				facecolor[facenum](u, v, colorindex)
			)
			#if (facenum > 0)
				,
			#end
			#local facenum = facenum - 1;
		#end
	}

	// this pigment is the actual uv map.
	// it's bad that we have to do all the same math 3 times, once for each color channel,
	// but there's no way to return more than 1 value at a time from a function
	// so I think it's the only way.
	#local finalpigment = pigment {
		average
		pigment_map {
			[1.0
				function{uvsample(x,y, 0)}
				color_map {
					[0 rgb 0] [1 rgb <3,0,0>]
				}
			]
			[1.0
				function{uvsample(x,y, 1)}
				color_map {
					[0 rgb 0] [1 rgb <0,3,0>]
				}
			]
			[1.0
				function{uvsample(x,y, 2)}
				color_map {
					[0 rgb 0] [1 rgb <0,0,3>]
				}
			]
		}
	}
	
	// draw the pigment
	plane {
		-z,0
		texture {
			pigment {
				finalpigment
			}
			finish {ambient 1 diffuse 0}
		}
	}
	// show the square <0,0> to <1,1>
	camera {
		orthographic
		location <.5,.5,-.5>
		look_at <.5,.5,0>
		up y
		right x
	}
#end




// here we use the macro to generate the UV texture map.


// first declare our procedural pigment
#declare proceduralpigment =
	pigment {
		wood
		color_map {
			[0 rgb x]
			[.5 rgb y]
			[1 rgb z]
		}
		scale 0.5
	}


// the mesh data must be declared as arrays.
// this can be easily done by copying the data out of the mesh2 and pasting it into lines like this.
// the face_indices may have texture numbers inbetween all of the vectors but these can be removed with a simple search-and-replace.

// the vertex_vectors:
#declare numvertices = 386;
#declare vertices = array[numvertices] {<-1.00000,-1.00000,1.00000>,<-1.57313,1.40764,1.30431>,<1.00000,1.00000,1.00000>,<1.74170,-0.897426,1.76722>,<-1.22478,-0.682623,-0.740417>,<-1.00000,1.00000,-1.00000>,<1.45190,0.395795,-1.05345>,<1.00000,-1.00000,-1.00000>,<-1.28657,0.203819,1.15216>,<0.370851,-0.948713,1.38361>,<-1.11239,-0.841311,0.129791>,<-0.286565,1.20382,1.15216>,<-1.28657,1.20382,0.152155>,<1.37085,5.12872e-2,1.38361>,<1.22595,0.697897,-2.67243e-2>,<1.37085,-0.948713,0.383608>,<-1.11239,0.158689,-0.870209>,<-0.112389,-0.841311,-0.870209>,<0.225948,0.697897,-1.02672>,<1.22595,-0.302103,-1.02672>,<7.35477e-2,9.14347e-2,0.866552>,<1.63839,-0.106378,0.157742>,<-0.142111,-1.05664,0.131946>,<5.28555e-2,1.38836,-1.97466e-2>,<-0.120879,-0.115056,-0.761150>,<-1.40497,0.165573,0.124975>,<-1.14328,-0.398091,1.07608>,<-0.314574,-0.974356,1.19180>,<-1.05619,-0.920656,0.564896>,<-0.929848,1.30573,1.22823>,<-1.42985,1.30573,0.728233>,<1.18543,0.525644,1.19180>,<1.11297,0.848949,0.486638>,<1.55628,-0.923069,1.07541>,<-1.16858,-0.261967,-0.805313>,<-0.668583,-0.761967,-0.805313>,<-0.387026,0.848949,-1.01336>,<1.33892,4.68460e-2,-1.04009>,<-1.42985,0.805728,1.22823>,<1.05628,-0.923069,1.57541>,<-1.16858,-0.761967,-0.305313>,<0.356717,1.10191,1.07608>,<-1.14328,1.10191,-0.423922>,<1.55628,-0.423069,1.57541>,<1.33892,0.546846,-0.540086>,<1.18543,-0.974356,-0.308196>,<-1.05619,0.579344,-0.935104>,<0.443806,-0.920656,-0.935104>,<0.838923,0.546846,-1.04009>,<1.11297,-0.651051,-1.01336>,<0.227909,-0.435206,1.05211>,<-0.600799,0.141060,0.936384>,<-0.100799,0.641060,0.936384>,<0.727909,6.47940e-2,1.05211>,<1.56644,-0.524086,0.266911>,<1.56644,-2.40858e-2,0.766911>,<1.49399,0.299219,6.17452e-2>,<1.49399,-0.200781,-0.438255>,<-0.676585,-0.978359,0.108186>,<6.50354e-2,-1.03206,0.735094>,<0.565035,-1.03206,0.235094>,<-0.176585,-0.978359,-0.391814>,<0.654523,1.12268,-3.82285e-2>,<-0.101734,1.37564,0.551211>,<-0.601734,1.37564,5.12112e-2>,<0.154523,1.12268,-0.538228>,<2.02329e-2,0.283539,-0.859879>,<-0.648936,1.39346e-2,-0.781622>,<-0.148936,-0.486065,-0.781622>,<0.520233,-0.216461,-0.859879>,<-1.38313,0.681844,0.135656>,<-1.38313,0.181844,0.635656>,<-1.29604,-0.340721,0.124474>,<-1.29604,0.159279,-0.375526>,<-0.453793,-0.421126,1.01434>,<-0.761430,0.718916,1.03256>,<0.546207,0.578874,1.01434>,<0.895986,-0.433615,1.26401>,<1.60351,-0.471218,0.918595>,<1.38185,0.414790,0.624208>,<1.45860,0.175392,-0.491737>,<1.38185,-0.585210,-0.375792>,<-0.529217,-0.996394,0.634530>,<0.777019,-0.997601,0.889787>,<0.470783,-0.996394,-0.365470>,<-0.706221,-0.890199,-0.364029>,<0.515930,1.16653,0.508702>,<-0.755481,1.39492,0.629499>,<-0.484070,1.16653,-0.491298>,<0.757032,0.888997,-0.549380>,<-0.540005,0.426068,-0.874271>,<-0.680783,-0.379390,-0.770246>,<0.459995,-0.573932,-0.874271>,<0.657554,0.159819,-0.926762>,<-1.43196,0.741842,0.679961>,<-1.24514,-0.371350,0.598293>,<-1.25779,-0.303288,-0.342403>,<-1.24514,0.628650,-0.401707>,<-1.07164,-0.699045,1.03804>,<-0.657287,-0.987178,1.09590>,<-1.02810,-0.960328,0.782448>,<-1.25149,1.35668,1.26627>,<-1.50149,1.35668,1.01627>,<1.09271,0.762822,1.09590>,<1.05649,0.924474,0.743319>,<1.64899,-0.910247,1.42131>,<-1.19668,-0.472295,-0.772865>,<-0.946681,-0.722295,-0.772865>,<-0.693513,0.924474,-1.00668>,<1.39541,0.221320,-1.04677>,<-1.35821,0.504773,1.19019>,<0.713564,-0.935891,1.47951>,<-1.14049,-0.801639,-8.77607e-2>,<3.50761e-2,1.15286,1.11412>,<-1.21492,1.15286,-0.135884>,<1.46356,-0.185891,1.47951>,<1.28244,0.622372,-0.283405>,<1.27814,-0.961535,3.77056e-2>,<-1.08429,0.369016,-0.902656>,<0.165708,-0.880984,-0.902656>,<0.532436,0.622372,-1.03341>,<1.16946,-0.476577,-1.02004>,<0.300094,-0.692780,1.20874>,<-0.942968,0.171618,1.03515>,<-0.192968,0.921618,1.03515>,<1.05009,5.72197e-2,1.20874>,<1.47637,-0.735967,0.324789>,<1.47637,1.40332e-2,1.07479>,<1.36769,0.498991,1.70400e-2>,<1.36769,-0.251009,-0.732960>,<-0.900654,-0.913509,0.116153>,<0.211776,-0.994060,1.05652>,<0.961776,-0.994060,0.306516>,<-0.150654,-0.913509,-0.633847>,<0.942126,0.920230,-3.43505e-2>,<-0.192260,1.29967,0.849809>,<-0.942260,1.29967,9.98090e-2>,<0.192126,0.920230,-0.784351>,<0.119053,0.489733,-0.939045>,<-0.884700,8.53264e-2,-0.821658>,<-0.134700,-0.664674,-0.821658>,<0.869053,-0.260267,-0.939045>,<-1.33952,0.942475,0.143542>,<-1.33952,0.192475,0.893542>,<-1.20888,-0.591372,0.126769>,<-1.20888,0.158628,-0.623231>,<-1.21492,-9.71361e-2,1.11412>,<2.81384e-2,-0.961535,1.28771>,<-1.08429,-0.880984,0.347344>,<-0.608207,1.25477,1.19019>,<-1.35821,1.25477,0.440194>,<1.27814,0.288465,1.28771>,<1.16946,0.773423,0.229957>,<1.46356,-0.935891,0.729509>,<-1.14049,-5.16392e-2,-0.837761>,<-0.390486,-0.801639,-0.837761>,<-8.05387e-2,0.773423,-1.02004>,<1.28244,-0.127628,-1.03341>,<-1.50149,1.10668,1.26627>,<1.39899,-0.910247,1.67131>,<-1.19668,-0.722295,-0.522865>,<0.678359,1.05095,1.03804>,<-1.07164,1.05095,-0.711961>,<1.64899,-0.660247,1.67131>,<1.39541,0.471320,-0.796767>,<1.09271,-0.987178,-0.654098>,<-1.02810,0.789672,-0.967552>,<0.721903,-0.960328,-0.967552>,<1.14541,0.471320,-1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// the uv_vectors:
#declare numuvs = 486;
#declare uvs = array[numuvs] {<2.68490e-2,0.315406>,<3.77563e-2,0.282668>,<4.35686e-2,0.660515>,<4.83811e-2,0.249902>,<5.88115e-2,0.217108>,<5.89278e-2,0.616513>,<6.30606e-2,0.312613>,<6.91346e-2,0.184347>,<7.34742e-2,0.572244>,<7.53231e-2,0.279688>,<7.93991e-2,0.151588>,<8.38191e-2,0.662592>,<8.73091e-2,0.246951>,<8.78282e-2,0.528181>,<8.91771e-2,0.118642>,<9.78062e-2,8.52299e-2>,<9.86900e-2,0.214608>,<9.93313e-2,0.310081>,<0.101117,0.617732>,<0.102621,0.484688>,<0.105222,5.08097e-2>,<0.109305,0.182621>,<0.112722,0.276784>,<0.118122,0.573269>,<0.118175,0.442013>,<0.118978,0.150674>,<0.124046,0.665462>,<0.124947,0.962730>,<0.125671,0.244067>,<0.128128,0.118372>,<0.130183,0.928670>,<0.134172,0.399907>,<0.134402,0.529868>,<0.135328,0.894571>,<0.135741,0.307677>,<0.136968,8.55295e-2>,<0.137726,0.212320>,<0.140535,0.860482>,<0.143026,0.618831>,<0.145532,5.25203e-2>,<0.145952,0.826450>,<0.148592,0.181406>,<0.149776,0.357956>,<0.149778,0.274183>,<0.149781,0.487419>,<0.151694,0.792547>,<0.157884,0.758737>,<0.158177,0.150522>,<0.161438,0.573707>,<0.163088,0.241615>,<0.164159,0.445210>,<0.164275,0.315711>,<0.164588,0.725063>,<0.164838,0.668566>,<0.167360,0.118796>,<0.171888,0.691611>,<0.172454,0.305089>,<0.175294,0.210591>,<0.176728,8.60704e-2>,<0.178269,0.402710>,<0.178657,0.530823>,<0.184118,0.967629>,<0.184187,0.619933>,<0.186264,0.180867>,<0.186364,5.28389e-2>,<0.186548,0.272049>,<0.192506,0.359636>,<0.192988,0.930650>,<0.194199,0.489599>,<0.196206,0.151088>,<0.199650,0.239997>,<0.201366,0.894183>,<0.202655,0.573913>,<0.205722,0.670986>,<0.206125,0.119806>,<0.206876,0.316411>,<0.207940,0.448301>,<0.208739,0.858549>,<0.209502,0.302088>,<0.211548,0.209646>,<0.214528,0.823994>,<0.216637,8.67687e-2>,<0.218197,0.790591>,<0.219679,0.531241>,<0.220442,0.757974>,<0.221238,0.405636>,<0.221982,0.725821>,<0.222526,0.180800>,<0.223383,0.270553>,<0.223465,0.694024>,<0.224553,0.621364>,<0.227756,5.25571e-2>,<0.233299,0.151775>,<0.234982,0.491109>,<0.235024,0.361334>,<0.236203,0.239500>,<0.242036,0.574664>,<0.243238,0.972449>,<0.244619,0.120792>,<0.246591,0.672474>,<0.247048,0.298992>,<0.247923,0.209611>,<0.248794,0.450863>,<0.249489,0.316154>,<0.254806,0.932423>,<0.256789,8.75534e-2>,<0.258016,0.531791>,<0.259196,0.180841>,<0.260922,0.269254>,<0.262496,0.408229>,<0.264638,0.623510>,<0.265381,0.893584>,<0.269649,5.26616e-2>,<0.271137,0.151795>,<0.272826,0.492000>,<0.273581,0.695604>,<0.273985,0.239304>,<0.273994,0.856546>,<0.276935,0.362860>,<0.277066,0.726304>,<0.279623,0.821624>,<0.279989,0.757263>,<0.281113,0.576876>,<0.281240,0.788828>,<0.284005,0.120981>,<0.285346,0.296600>,<0.286179,0.209758>,<0.287407,0.452297>,<0.287424,0.673220>,<0.292219,0.315675>,<0.296167,0.533430>,<0.297736,8.80807e-2>,<0.298254,0.180656>,<0.299537,0.267927>,<0.302216,0.976467>,<0.302578,0.409776>,<0.305227,0.625873>,<0.310757,0.492665>,<0.311256,0.151210>,<0.311965,5.36196e-2>,<0.313418,0.238678>,<0.314808,0.933819>,<0.318536,0.363869>,<0.321616,0.579820>,<0.322435,0.696557>,<0.324410,0.295902>,<0.325195,0.120529>,<0.326053,0.893030>,<0.326350,0.452240>,<0.326850,0.209283>,<0.328290,0.673734>,<0.329477,0.726517>,<0.334736,0.854877>,<0.335056,0.315573>,<0.335623,0.756632>,<0.336803,0.535816>,<0.338723,0.266703>,<0.339455,0.787421>,<0.339642,0.819704>,<0.339779,8.84287e-2>,<0.340170,0.179818>,<0.343077,0.409503>,<0.346611,0.628026>,<0.351800,0.493509>,<0.353954,0.237208>,<0.353982,0.150047>,<0.354655,5.52940e-2>,<0.360536,0.363793>,<0.360878,0.979042>,<0.364125,0.582697>,<0.368089,0.451553>,<0.368245,0.119655>,<0.369146,0.674815>,<0.369224,0.207763>,<0.370178,0.696956>,<0.372412,0.934897>,<0.378042,0.315950>,<0.379049,0.726563>,<0.380658,0.538252>,<0.382520,0.893013>,<0.382844,8.86502e-2>,<0.384107,0.178168>,<0.385506,0.408189>,<0.386813,0.756350>,<0.388439,0.629713>,<0.390001,0.854207>,<0.392116,0.786801>,<0.393605,0.818884>,<0.396682,0.494459>,<0.397540,5.72566e-2>,<0.398491,0.148406>,<0.403511,0.362917>,<0.408161,0.584913>,<0.412516,0.118561>,<0.413156,0.450798>,<0.417079,0.696862>,<0.418944,0.979768>,<0.421279,0.316237>,<0.425731,0.726657>,<0.426459,8.87562e-2>,<0.427044,0.540129>,<0.427198,0.935944>,<0.430129,0.406567>,<0.433178,4.29260e-3>,<0.433388,0.756779>,<0.434343,0.894292>,<0.438853,0.787610>,<0.439334,0.855514>,<0.440524,5.90645e-2>,<0.441190,0.820021>,<0.444475,0.495216>,<0.447523,0.361614>,<0.454339,4.41498e-2>,<0.460585,0.450125>,<0.463399,0.696047>,<0.465046,0.316312>,<0.470565,0.726691>,<0.475488,8.39923e-2>,<0.476091,0.405073>,<0.476180,0.978630>,<0.476994,0.757775>,<0.477962,6.40517e-3>,<0.479826,0.936621>,<0.481935,0.789565>,<0.482980,0.896339>,<0.484752,0.822709>,<0.484867,0.858271>,<0.491972,0.360241>,<0.496604,0.123840>,<0.496980,0.588426>,<0.499876,0.558514>,<0.502645,4.55699e-2>,<0.502707,0.528588>,<0.505534,0.498638>,<0.508449,0.468651>,<0.508759,0.315711>,<0.509382,0.694319>,<0.511384,0.438689>,<0.513960,0.408782>,<0.514204,0.726595>,<0.515326,0.349045>,<0.515471,0.378901>,<0.517775,0.163694>,<0.518779,0.759253>,<0.522746,8.44806e-3>,<0.522785,0.792406>,<0.525967,0.826394>,<0.526706,8.46015e-2>,<0.528076,0.861756>,<0.529541,0.898535>,<0.530767,0.936644>,<0.532216,0.975789>,<0.538977,0.203500>,<0.549485,0.123314>,<0.550318,4.68785e-2>,<0.555193,0.691611>,<0.555718,0.589589>,<0.557057,0.726371>,<0.557741,0.556362>,<0.559286,0.340070>,<0.559379,0.761053>,<0.559640,0.523610>,<0.560200,0.243301>,<0.560210,0.369859>,<0.561157,0.491654>,<0.561160,0.400076>,<0.561876,0.430258>,<0.562000,0.460577>,<0.562305,0.795704>,<0.565812,0.830362>,<0.567545,1.05069e-2>,<0.569909,0.865239>,<0.570406,0.161597>,<0.571577,0.614328>,<0.574526,0.650096>,<0.574677,0.900346>,<0.576699,8.49849e-2>,<0.577431,0.685862>,<0.580307,0.935784>,<0.580378,0.721634>,<0.581317,0.283155>,<0.583427,0.757428>,<0.586606,0.793247>,<0.586861,0.971641>,<0.588839,0.199366>,<0.589707,0.829048>,<0.592313,0.864855>,<0.594017,0.900731>,<0.596715,4.79450e-2>,<0.600696,0.122456>,<0.602210,0.323133>,<0.602497,0.327669>,<0.605197,0.360220>,<0.605472,0.236836>,<0.608358,0.392371>,<0.611593,0.423533>,<0.612352,1.25969e-2>,<0.614158,0.454177>,<0.614359,0.590782>,<0.615030,0.554423>,<0.615311,0.485803>,<0.615468,0.519229>,<0.620902,0.274152>,<0.621152,0.159110>,<0.621774,0.614285>,<0.622537,0.651474>,<0.623168,0.688560>,<0.623770,0.725494>,<0.624234,8.49017e-2>,<0.624489,0.762253>,<0.625622,0.799310>,<0.626564,0.836461>,<0.627076,0.873540>,<0.627278,0.910219>,<0.635735,0.311312>,<0.637005,0.194855>,<0.641205,4.85811e-2>,<0.645284,0.313728>,<0.648553,0.121000>,<0.649493,0.350298>,<0.649539,0.230052>,<0.654214,0.385405>,<0.657173,1.47525e-2>,<0.659145,0.418292>,<0.659973,0.264997>,<0.660305,0.920494>,<0.662211,0.882499>,<0.663595,0.844365>,<0.663672,0.449564>,<0.664647,0.805987>,<0.665620,0.767409>,<0.667081,0.481474>,<0.667369,0.729096>,<0.668198,0.155945>,<0.668209,8.40904e-2>,<0.669014,0.690953>,<0.669374,0.299769>,<0.669584,0.515784>,<0.670558,0.652753>,<0.671426,0.552647>,<0.671922,0.614231>,<0.672922,0.591272>,<0.681864,0.189643>,<0.683266,4.87026e-2>,<0.688176,0.299883>,<0.691211,0.222763>,<0.691646,0.118634>,<0.693194,0.931241>,<0.693399,0.340080>,<0.697225,0.891968>,<0.697832,0.255658>,<0.698978,0.378177>,<0.700626,0.852688>,<0.702035,1.70458e-2>,<0.703144,0.288504>,<0.703853,0.812931>,<0.704841,0.413332>,<0.707120,0.772722>,<0.707656,8.22817e-2>,<0.709992,0.151803>,<0.710850,0.445979>,<0.710901,0.732786>,<0.714774,0.693311>,<0.716744,0.478500>,<0.718505,0.653944>,<0.721940,0.183641>,<0.722050,0.614326>,<0.722244,0.513378>,<0.723607,4.85049e-2>,<0.726064,0.942119>,<0.727130,0.551027>,<0.728758,0.115009>,<0.729361,0.214919>,<0.731301,0.286903>,<0.731509,0.590585>,<0.732146,0.901697>,<0.733849,0.246085>,<0.736961,0.277343>,<0.737578,0.329109>,<0.737941,0.861060>,<0.743595,0.820038>,<0.743921,7.97749e-2>,<0.743980,0.369413>,<0.745299,0.146477>,<0.746919,1.92830e-2>,<0.749257,0.778282>,<0.750700,0.407070>,<0.754903,0.736543>,<0.756240,0.176738>,<0.758008,0.442206>,<0.758972,0.952882>,<0.760562,0.695628>,<0.761772,0.110470>,<0.762886,4.81135e-2>,<0.763234,0.206507>,<0.766203,0.476479>,<0.766294,0.655179>,<0.766981,0.910791>,<0.767630,0.236253>,<0.770754,0.266126>,<0.772203,0.614685>,<0.774554,0.274603>,<0.774681,0.512198>,<0.775159,0.868733>,<0.776237,0.140296>,<0.778223,7.69118e-2>,<0.782438,0.317537>,<0.782808,0.549952>,<0.783320,0.826486>,<0.786687,0.169176>,<0.790322,0.359212>,<0.790363,0.589044>,<0.791438,0.783844>,<0.791903,0.963517>,<0.791905,2.11381e-2>,<0.792317,0.105415>,<0.794238,0.197671>,<0.798493,0.399058>,<0.799034,0.741018>,<0.799883,0.226139>,<0.801596,4.75819e-2>,<0.801900,0.919852>,<0.804539,0.254701>,<0.804641,0.133493>,<0.806546,0.698748>,<0.807357,0.437068>,<0.811539,7.39083e-2>,<0.812178,0.876334>,<0.814242,0.656850>,<0.814868,0.161089>,<0.817445,0.473968>,<0.817820,0.262612>,<0.821710,0.100164>,<0.822376,0.615233>,<0.822519,0.832868>,<0.823550,0.188460>,<0.824820,0.974090>,<0.827997,0.305526>,<0.828221,0.511247>,<0.831193,0.215783>,<0.831963,0.126400>,<0.832815,0.789231>,<0.836976,0.929058>,<0.838142,0.347922>,<0.838299,0.243117>,<0.839001,0.549362>,<0.842101,0.152676>,<0.842499,0.745350>,<0.848414,0.389463>,<0.849252,0.884057>,<0.849332,0.587814>,<0.852110,0.178981>,<0.852174,0.701804>,<0.857688,0.984701>,<0.859091,0.430120>,<0.861067,0.250559>,<0.861598,0.839217>,<0.862052,0.658342>,<0.862052,0.205302>,<0.870633,0.470045>,<0.872069,0.231583>,<0.872153,0.938426>,<0.872566,0.615527>,<0.873863,0.794411>,<0.874017,0.293316>,<0.882904,0.509775>,<0.885777,0.749489>,<0.886607,0.892125>,<0.886982,0.336035>,<0.895618,0.549399>,<0.897719,0.704556>,<0.899764,0.378814>,<0.900854,0.845798>,<0.908304,0.588661>,<0.909963,0.659751>,<0.912225,0.421730>,<0.914868,0.799398>,<0.922769,0.615233>,<0.924636,0.464677>,<0.928761,0.752944>,<0.937656,0.507415>,<0.942931,0.706573>,<0.951874,0.549777>,<0.957674,0.660358>,<0.967223,0.591755>,<0.972967,0.614328>};

// the face_indices:
#declare numfaces = 768;
#declare faces = array[numfaces] {<0,99,290>,<0,100,322>,<0,322,99>,<2,104,339>,<2,161,298>,<2,298,103>,<3,159,105>,<4,106,359>,<4,107,335>,<4,160,378>,<5,162,346>,<5,346,108>,<6,164,314>,<6,168,164>,<6,314,109>,<7,165,331>,<7,167,363>,<7,331,167>,<7,363,169>,<8,123,297>,<9,131,329>,<9,147,131>,<9,329,111>,<10,112,336>,<10,144,112>,<10,148,376>,<10,336,130>,<11,149,295>,<11,295,124>,<12,136,114>,<12,150,344>,<13,125,305>,<13,151,125>,<13,305,115>,<14,116,351>,<14,152,312>,<14,312,128>,<14,351,134>,<15,126,306>,<15,132,117>,<15,153,327>,<16,118,356>,<16,145,385>,<16,356,139>,<16,385,118>,<17,140,362>,<17,155,140>,<17,362,119>,<18,137,353>,<18,156,137>,<18,353,120>,<19,129,321>,<19,141,366>,<19,157,129>,<19,321,121>,<19,366,157>,<20,171,292>,<20,172,171>,<20,173,300>,<20,292,170>,<21,174,320>,<21,176,313>,<21,177,176>,<21,313,175>,<21,320,177>,<22,179,324>,<22,181,333>,<22,333,180>,<23,183,341>,<23,185,348>,<24,187,357>,<24,188,361>,<24,357,186>,<25,190,384>,<25,192,377>,<25,193,380>,<25,377,191>,<25,380,192>,<26,195,291>,<26,279,375>,<26,375,98>,<27,99,227>,<27,227,323>,<27,323,147>,<28,100,375>,<28,148,325>,<28,375,280>,<29,101,294>,<29,294,199>,<30,102,343>,<30,248,150>,<30,343,248>,<31,103,203>,<31,203,299>,<31,299,151>,<32,104,311>,<32,152,338>,<32,311,216>,<33,105,326>,<33,211,307>,<33,231,153>,<33,307,105>,<34,154,358>,<34,283,379>,<34,358,263>,<35,107,264>,<35,264,360>,<35,360,155>,<36,108,251>,<36,251,347>,<36,347,156>,<37,219,315>,<37,271,367>,<37,315,157>,<37,367,109>,<38,198,294>,<39,111,230>,<39,230,326>,<39,326,159>,<40,112,381>,<40,282,160>,<41,113,301>,<41,301,202>,<42,114,349>,<42,349,250>,<43,115,206>,<43,206,302>,<43,302,163>,<44,116,317>,<44,164,350>,<44,317,218>,<44,350,255>,<45,117,330>,<45,165,318>,<45,235,165>,<45,318,223>,<46,166,355>,<46,286,382>,<46,355,260>,<46,382,166>,<47,119,267>,<47,267,363>,<47,363,167>,<48,120,254>,<48,254,350>,<48,350,168>,<49,121,222>,<49,222,318>,<49,268,364>,<49,318,169>,<49,364,121>,<50,197,293>,<50,208,304>,<51,123,291>,<51,291,196>,<52,124,200>,<52,200,296>,<52,296,172>,<53,125,299>,<53,173,304>,<53,204,173>,<54,126,319>,<54,174,309>,<54,224,174>,<55,213,309>,<55,214,310>,<56,221,317>,<56,317,128>,<57,129,315>,<57,177,320>,<57,220,316>,<57,316,177>,<58,229,325>,<58,241,337>,<58,325,130>,<58,337,178>,<59,131,323>,<59,179,328>,<59,228,179>,<60,232,328>,<60,234,330>,<61,181,337>,<61,238,334>,<61,337,238>,<62,242,338>,<62,256,352>,<62,338,134>,<62,352,182>,<63,135,340>,<63,245,183>,<63,340,245>,<64,249,345>,<64,345,184>,<65,137,347>,<65,185,352>,<65,252,185>,<66,258,354>,<66,273,369>,<67,261,357>,<67,357,187>,<68,140,360>,<68,188,365>,<68,365,266>,<69,141,364>,<69,189,369>,<69,364,269>,<69,369,270>,<70,142,383>,<70,383,288>,<71,277,373>,<71,278,374>,<72,281,377>,<72,285,381>,<73,145,379>,<73,193,384>,<73,379,284>,<73,384,289>,<74,195,290>,<74,196,195>,<74,197,292>,<74,290,194>,<75,198,297>,<75,199,198>,<75,200,295>,<76,203,298>,<76,205,300>,<76,300,204>,<77,208,303>,<77,209,208>,<77,303,207>,<78,211,306>,<78,213,308>,<78,308,212>,<79,217,312>,<79,312,216>,<80,219,314>,<80,221,316>,<80,314,218>,<80,316,220>,<81,222,321>,<81,224,319>,<81,319,223>,<81,321,225>,<82,227,322>,<82,229,324>,<82,324,228>,<83,232,327>,<83,233,232>,<83,327,231>,<84,236,331>,<84,331,235>,<85,238,337>,<85,240,335>,<86,242,341>,<86,243,242>,<86,244,339>,<87,247,342>,<87,248,247>,<87,249,344>,<87,342,246>,<87,344,248>,<88,251,346>,<88,253,348>,<88,348,252>,<89,256,351>,<89,351,255>,<90,261,356>,<90,356,260>,<91,262,361>,<91,263,262>,<91,264,359>,<91,359,263>,<91,361,265>,<92,267,362>,<93,271,366>,<93,273,368>,<93,366,270>,<93,368,272>,<94,275,370>,<94,276,275>,<94,277,372>,<94,370,274>,<94,372,276>,<95,279,374>,<95,281,376>,<95,374,278>,<95,376,280>,<96,283,378>,<96,284,283>,<96,285,380>,<96,378,282>,<97,286,385>,<97,288,287>,<97,289,384>,<97,385,289>,<98,100,0>,<98,290,195>,<98,375,100>,<99,322,227>,<100,28,226>,<101,1,158>,<101,343,102>,<102,1,101>,<102,371,158>,<103,104,2>,<103,298,203>,<103,311,104>,<104,32,243>,<105,163,3>,<105,307,163>,<106,378,283>,<107,359,264>,<108,166,5>,<108,346,251>,<108,355,166>,<109,168,6>,<109,367,168>,<110,297,198>,<110,372,8>,<111,303,9>,<111,329,230>,<113,11,124>,<113,340,135>,<114,383,142>,<115,305,206>,<115,308,13>,<116,14,128>,<116,128,317>,<117,126,15>,<117,319,126>,<119,332,17>,<119,362,267>,<120,353,254>,<120,368,18>,<121,141,19>,<121,321,222>,<121,364,141>,<122,147,9>,<122,293,147>,<122,303,208>,<123,8,146>,<124,295,200>,<124,301,113>,<125,53,209>,<126,54,210>,<127,151,13>,<127,308,213>,<127,310,151>,<129,57,225>,<130,148,10>,<130,325,148>,<131,59,233>,<132,327,232>,<132,330,117>,<133,155,17>,<133,332,237>,<133,334,155>,<134,152,14>,<134,338,152>,<135,11,113>,<135,342,11>,<136,344,249>,<136,349,114>,<137,65,257>,<138,156,18>,<138,354,156>,<138,368,273>,<139,154,16>,<139,358,154>,<140,68,266>,<142,12,114>,<142,370,12>,<143,146,8>,<143,372,277>,<143,374,146>,<144,376,281>,<144,381,112>,<145,16,154>,<146,291,123>,<146,374,26>,<147,293,27>,<147,323,131>,<148,28,280>,<148,280,376>,<1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10>,<377,192,72>,<378,106,4>,<379,154,34>,<380,284,96>,<381,144,72>,<381,282,40>,<383,114,42>,<384,193,25>,<384,288,97>}
// the uv_indices (must have the same amount as you do of face_indices):
#declare uvindices = array[numfaces] {<20,39,35>,<414,420,393>,<414,393,384>,<172,150,162>,<145,125,133>,<145,133,156>,<203,221,212>,<255,257,239>,<460,444,439>,<287,286,312>,<51,75,66>,<51,66,42>,<240,259,263>,<2,5,11>,<240,263,241>,<290,280,302>,<55,89,86>,<290,302,314>,<55,86,52>,<7,21,16>,<296,316,288>,<296,322,316>,<296,288,270>,<440,446,429>,<281,309,282>,<281,279,307>,<440,429,423>,<56,34,43>,<56,43,65>,<153,142,129>,<153,176,167>,<181,160,165>,<181,173,160>,<181,165,190>,<73,53,62>,<344,373,378>,<344,378,348>,<73,62,90>,<374,370,407>,<242,272,252>,<242,228,253>,<269,271,248>,<369,375,397>,<269,248,246>,<369,397,390>,<174,177,151>,<174,195,177>,<174,151,144>,<19,44,32>,<19,24,44>,<19,32,13>,<234,267,264>,<40,80,77>,<234,237,267>,<234,264,233>,<40,77,37>,<87,63,69>,<87,79,63>,<87,107,101>,<87,69,92>,<360,363,331>,<360,356,386>,<360,328,356>,<360,386,389>,<360,331,328>,<359,346,371>,<359,365,342>,<359,342,333>,<114,137,130>,<114,93,102>,<187,209,207>,<187,186,206>,<187,207,185>,<385,412,408>,<385,357,361>,<385,380,355>,<385,361,387>,<385,355,357>,<14,29,25>,<340,338,305>,<340,305,304>,<353,384,368>,<353,368,343>,<353,343,322>,<277,274,305>,<426,432,415>,<277,305,306>,<17,6,9>,<17,9,22>,<197,215,211>,<197,191,176>,<197,211,191>,<164,156,140>,<164,140,149>,<164,149,173>,<401,431,437>,<128,99,110>,<401,437,406>,<217,212,231>,<450,445,469>,<217,247,228>,<450,469,473>,<260,268,245>,<325,326,349>,<260,245,243>,<214,236,216>,<214,216,198>,<214,198,195>,<31,42,59>,<31,59,50>,<31,50,24>,<238,265,266>,<33,71,67>,<238,266,237>,<33,67,30>,<3,12,9>,<244,270,254>,<244,254,231>,<244,231,221>,<285,282,310>,<285,311,286>,<100,78,88>,<100,88,108>,<103,129,118>,<103,118,94>,<193,190,171>,<193,171,180>,<193,180,199>,<291,317,319>,<26,11,18>,<291,319,292>,<26,18,38>,<262,252,284>,<298,256,258>,<262,293,280>,<298,258,299>,<275,278,250>,<413,421,442>,<275,250,249>,<413,442,436>,<115,144,119>,<115,119,86>,<115,86,89>,<8,13,23>,<8,23,18>,<8,18,5>,<232,233,261>,<232,261,258>,<46,84,82>,<232,258,230>,<46,82,45>,<98,74,81>,<98,124,113>,<41,21,25>,<41,25,47>,<70,65,49>,<70,49,57>,<70,57,79>,<132,160,149>,<132,107,113>,<132,126,107>,<367,370,339>,<367,363,395>,<367,337,363>,<425,430,395>,<425,417,448>,<351,321,319>,<351,319,348>,<297,267,266>,<297,328,331>,<297,295,323>,<297,323,328>,<404,392,415>,<404,409,388>,<404,415,423>,<404,388,383>,<334,316,343>,<334,346,318>,<334,358,346>,<303,289,318>,<303,315,284>,<372,365,388>,<372,394,398>,<372,388,394>,<96,122,110>,<96,72,83>,<96,110,90>,<96,83,106>,<163,188,178>,<163,155,137>,<163,178,155>,<135,161,148>,<135,148,127>,<68,44,50>,<68,93,83>,<68,76,93>,<179,205,201>,<179,147,152>,<225,226,207>,<225,207,209>,<183,177,198>,<183,186,157>,<183,157,154>,<120,80,82>,<120,158,152>,<120,82,123>,<120,152,117>,<441,463,456>,<441,456,434>,<391,424,418>,<391,362,364>,<330,332,361>,<330,329,310>,<379,375,349>,<379,380,408>,<379,349,352>,<379,408,403>,<54,29,35>,<54,47,29>,<54,74,69>,<54,35,58>,<28,12,16>,<28,22,12>,<28,49,43>,<116,140,133>,<116,95,101>,<116,101,126>,<146,124,131>,<146,138,124>,<146,131,159>,<438,445,407>,<438,430,459>,<438,459,465>,<410,382,378>,<410,378,406>,<294,265,263>,<294,321,323>,<294,263,292>,<294,323,295>,<301,261,264>,<301,337,339>,<301,339,299>,<301,264,300>,<381,368,393>,<381,392,371>,<381,371,358>,<276,289,253>,<276,308,289>,<276,253,247>,<320,324,302>,<320,302,293>,<416,394,388>,<416,435,439>,<143,122,130>,<143,136,122>,<143,169,162>,<182,202,194>,<182,191,202>,<182,161,167>,<182,194,170>,<182,167,191>,<85,59,66>,<85,109,102>,<85,102,76>,<48,72,62>,<48,62,38>,<224,226,248>,<224,248,249>,<220,223,206>,<220,243,223>,<220,216,239>,<220,239,243>,<220,206,204>,<121,119,151>,<111,71,77>,<111,147,141>,<111,77,117>,<111,141,104>,<452,470,466>,<452,457,470>,<452,424,428>,<452,466,447>,<452,428,457>,<335,338,364>,<335,332,307>,<335,364,362>,<335,307,306>,<327,326,312>,<327,352,326>,<327,329,355>,<327,312,311>,<427,421,397>,<427,434,449>,<427,403,408>,<427,397,403>,<304,274,273>,<15,35,29>,<304,305,274>,<384,393,368>,<420,426,405>,<6,0,1>,<227,211,215>,<215,235,227>,<483,474,477>,<464,431,455>,<156,133,140>,<464,437,431>,<150,128,136>,<473,482,484>,<473,469,482>,<313,312,326>,<236,239,216>,<251,278,283>,<42,66,59>,<251,250,278>,<30,61,27>,<30,67,61>,<4,16,12>,<433,428,400>,<139,131,112>,<270,288,254>,<78,56,65>,<200,178,188>,<472,456,463>,<190,165,171>,<478,459,475>,<317,344,348>,<317,348,319>,<341,370,374>,<341,339,370>,<354,350,377>,<144,151,119>,<13,32,23>,<134,141,168>,<45,80,40>,<233,264,261>,<45,82,80>,<105,91,112>,<105,81,91>,<105,131,124>,<21,7,10>,<65,43,49>,<65,88,78>,<160,132,138>,<370,367,402>,<454,471,475>,<454,459,430>,<454,448,471>,<267,297,300>,<423,432,440>,<423,415,432>,<316,334,308>,<272,253,289>,<272,284,252>,<376,399,377>,<376,350,345>,<376,398,399>,<90,99,73>,<90,110,99>,<188,210,200>,<188,194,210>,<142,167,161>,<142,118,129>,<44,68,60>,<175,196,168>,<175,201,196>,<175,141,147>,<246,268,269>,<246,245,268>,<177,183,154>,<463,476,472>,<463,466,476>,<396,366,400>,<396,428,424>,<396,364,366>,<309,30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152,185,179>,<466,479,476>,<474,483,481>,<474,457,462>,<428,396,400>,<418,387,391>,<418,447,441>,<364,396,391>,<364,338,340>,<307,309,281>,<361,357,330>,<312,313,287>,<349,347,325>,<355,352,327>,<310,309,330>,<310,311,285>,<456,472,467>,<408,380,385>,<408,434,427>}


// the macro call
UVBake(numvertices, vertices, numuvs, uvs, numfaces, faces, uvindices,  proceduralpigment)






// this code can be uncommented to display the actual mesh with either the uv map or the original procedural texture.
// if you uncomment it, be sure to comment out the UVBake() macro call above.


/*
mesh2 {
vertex_vectors 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normal_indices 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uv_indices 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// uncomment these 2 lines for uv mapping and set up the image_map to your image
//uv_mapping
//texture {pigment {image_map{sys "cubeuvmap.bmp"}}}

// use this line to display the original procedural pigment
texture{pigment{proceduralpigment}}
}


camera {
  perspective
  location <4, 5, 6>
  right < -1.33333, 0, 0>
  look_at <0.0000000000, 0.0000000000, 0.0000000000>
  angle 45.0000
}
light_source { 
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  rgb 1
  parallel
  point_at <0.00000e+0, 0.00000e+0, 0.00000e+0> 
}
*/