Here is a patch that lets you play with 3-D cylindrical coordinates. The code is in the comments section. Since it uses cartesian coordinates we translate from cylindrical to cartesian as we send messages to OpenGL.
Tuesday, April 22, 2008
Cylindrical Coordinates
Cylindrical coordinates specify a point in 3-D with a mix of polar coordinates and cartesian. Polar coordinates use a distance and angle measure to locate points in 2-D. Cylindrical coordinates use an additional distance measure to locate points in 3-D. For this example r and f are two polar coordinates and y is the third. We can translate from cylindrical to 3-D cartesian coordinates using r and f to determine x and z and using y as it is given.
Here is a patch that lets you play with 3-D cylindrical coordinates. The code is in the comments section. Since it uses cartesian coordinates we translate from cylindrical to cartesian as we send messages to OpenGL.
Here is a patch that lets you play with 3-D cylindrical coordinates. The code is in the comments section. Since it uses cartesian coordinates we translate from cylindrical to cartesian as we send messages to OpenGL.
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max v2;
#N vpatcher 25 489 351 727;
#P origin -19 51;
#P window setfont "Sans Serif" 9.;
#P flonum 167 59 35 9 -2.5 2.5 3 3 0 0 0 221 221 221 222 222 222 0 0 0;
#P window setfont "Sans Serif" 18.;
#P comment 167 32 34 196626 y;
#P window setfont Symbol 20.;
#P comment 125 34 34 1507348 f;
#P window setfont "Sans Serif" 9.;
#P newex 124 78 29 196617 t b f;
#P newex 109 101 52 196617 poltocar;
#P flonum 124 58 35 9 0 0 0 3 0 0 0 221 221 221 222 222 222 0 0 0;
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#P window setfont "Sans Serif" 18.;
#P comment 212 118 34 196626 z;
#P comment 177 119 34 196626 y;
#P comment 140 119 34 196626 x;
#P window setfont "Sans Serif" 9.;
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#P window setfont "Sans Serif" 9.;
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#P flonum 52 279 35 9 0 0 0 3 0 0 0 221 221 221 222 222 222 0 0 0;
#P message 114 381 227 196617 blend_enable 1 \, depth_enable 1 \, blend_mode 6 1;
#P window linecount 2;
#P message 102 344 228 196617 reset \, glcolor 0. 0. 0.7 \, moveto 0. 0. 0. \, lineto 0. \$2 0. \, glcolor 0.7 0. 0. \, lineto \$1 \$2 \$3;
#P window linecount 1;
#P newex 104 401 86 196617 jit.gl.sketch food;
#P newex 563 242 40 196617 * 180.;
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#P newex 464 233 66 196617 pack 0. 0. 0.;
#P newex 470 160 29 196617 t b f;
#P newex 455 183 47 196617 cartopol;
#P message 389 422 227 196617 blend_enable 1 \, depth_enable 1 \, blend_mode 6 1;
#P message 379 404 366 196617 reset \, glcolor 0. 0.3 0. \, moveto 0. \$3 0. \, shapeorient 90 0 0 \, circle \$1 0. \$2;
#P newex 379 442 86 196617 jit.gl.sketch food;
#P window linecount 0;
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#P window linecount 1;
#P newex 265 220 66 196617 pak 0. 0. 0.;
#P message 265 254 266 196617 reset \, glcolor 0.5 0.5 0.5 \, moveto \$1 \$2 \$3 \, sphere 0.1;
#P newex 265 292 86 196617 jit.gl.sketch food;
#P window linecount 2;
#P message 86 48 399 196617 reset \, glcolor 0.5 0.5 0.5 \, shapeorient 0 90 0 \, cylinder 0.025 0.025 2.5 \, shapeorient 0 0 0 \, cylinder 0.025 0.025 2.5 \, shapeorient 90 0 0 \, cylinder 0.025 0.025 2.5;
#P window linecount 1;
#P newex 86 109 86 196617 jit.gl.sketch food;
#P inlet 321 189 15 0;
#P inlet 293 188 15 0;
#P inlet 265 188 15 0;
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#P hidden connect 10 0 4 0;
#P connect 4 0 3 0;
#P connect 8 0 3 0;
#P connect 10 0 23 0;
#P connect 7 0 23 0;
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#P connect 26 0 22 0;
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#P connect 0 0 7 0;
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#P connect 7 0 6 0;
#P connect 6 0 5 0;
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#P connect 1 0 7 1;
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#P fasten 15 0 14 0 475 180 460 180;
#P connect 18 0 16 0;
#P connect 14 0 16 0;
#P connect 2 0 15 0;
#P fasten 15 1 14 1 494 180 497 180;
#P connect 21 0 16 1;
#P connect 1 0 18 0;
#P connect 18 1 16 2;
#P connect 14 1 20 0;
#P connect 20 0 21 0;
#P pop;
#P newobj 128 169 88 196617 p sketch;
#P hidden message 4 86 70 196617 size 320 240;
#P hidden newex 17 32 50 196617 loadbang;
#P hidden message 6 54 70 196617 camera 2 4 4;
#P newex 18 204 152 196617 jit.window food @depthbuffer 1;
#P newex 18 146 50 196617 t b erase;
#P newex 18 184 87 196617 jit.gl.render food;
#P hidden connect 4 0 5 0;
#P hidden connect 4 0 3 0;
#P hidden fasten 20 0 1 0 172 108 23 108;
#P fasten 16 0 1 0 114 126 23 126;
#P fasten 1 1 0 0 41 173 23 173;
#P connect 1 0 0 0;
#P hidden fasten 3 0 0 0 11 161 23 161;
#P hidden connect 5 0 2 0;
#P fasten 14 0 16 0 90 90 114 90;
#P fasten 17 0 16 0 129 98 114 98;
#P connect 15 0 17 0;
#P fasten 16 0 10 0 114 135 133 135;
#P connect 10 0 6 0;
#P fasten 17 1 16 1 148 98 156 98;
#P fasten 20 0 11 0 172 143 172 143;
#P connect 11 0 6 1;
#P fasten 16 1 12 0 156 121 211 121;
#P connect 12 0 6 2;
#P pop;
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