globals [xmax ymax total-atoms ticks %rec logtime orientation intercepts average-grain-size average-grain-size-2] breeds [init recgrain] patches-own [border? neighbors-6] turtles-own [atoms-6 new-color] to draw-walls ; draw left and right walls ask patches with [abs pxcor = screen-edge-x] [set pcolor blue] ; draw top and bottom walls ask patches with [abs pycor = screen-edge-y] [set pcolor blue] end to fill-outer-area-with-white set ymax (height + 1) / 2 set xmax (width + 1) / 2 ask patches with [(abs pycor >= ymax) or (abs pxcor >= xmax)] [set pcolor white set border? true] end to hex-grained ask random-n-of num-of-grain patches with [(abs pycor < (height + 1) / 2) and (abs pxcor < (width + 1) / 2) and (abs pycor < screen-edge-y) and (abs pxcor < screen-edge-x)] [sprout 1 [if pxcor mod 2 = 0 [set ycor ycor - 0.5] set breed init set color 5 + (random 14 * 10) + random 3 set shape atom-shape]] end to setup ca draw-walls fill-outer-area-with-white hex-grained ask patches [ifelse pxcor mod 2 = 0 [set neighbors-6 patches at-points [[0 1] [1 0] [1 -1] [0 -1] [-1 -1] [-1 0]]] [set neighbors-6 patches at-points [[0 1] [1 1] [1 0] [0 -1] [-1 0] [-1 1]]]] end to repair-1 ask turtles [ifelse pxcor mod 2 = 0 [set atoms-6 turtles at-points [[0 1] [1 0] [1 -1] [0 -1] [-1 -1] [-1 0]]] [set atoms-6 turtles at-points [[0 1] [1 1] [1 0] [0 -1] [-1 0] [-1 1]]]] ask turtles [if any? atoms-6 [if not any? atoms-6 with [color = color-of myself] [set color color-of one-of atoms-6 set heading heading-of one-of atoms-6 set shape atom-shape]]] end to grain-count set orientation 90 set intercepts 0 set total-atoms count turtles ask init [if ((xcor != (xmax - 1)) and (who < ((width * height) - 1)) and (who < total-atoms)) [ifelse any? turtles-on (patch-at-heading-and-distance orientation 1) [let right-neighbor-heading heading-of (random-one-of turtles-on (patch-at-heading-and-distance orientation 1)) if (heading != (right-neighbor-heading)) [ set intercepts (intercepts + 1)]] [set intercepts (intercepts + 1)]]] ifelse intercepts = 0 [set average-grain-size (total-atoms)] [set average-grain-size ((total-atoms) / intercepts)] end to make-initial-grain ask turtles [let my-color color let my-heading heading let other random-one-of neighbors-6 with [(pcolor != blue) and (pcolor != white) and (not any? turtles-here)] if (other != nobody) [ask neighbors-6 with [(abs pycor < ymax) and (abs pxcor < xmax) and (abs pycor < screen-edge-y) and (abs pxcor < screen-edge-x)] [sprout 1 [if (pxcor mod 2 = 0) [set ycor ycor - 0.5] set breed init set color my-color set heading my-heading set shape atom-shape if (any? other-turtles-here) [ask other-turtles-here [die]]]]]] repair-1 grain-count end to turtle-draw if mouse-down? ;; reports true or false to indicate whether mouse button is down [ask turtles-at mouse-xcor mouse-ycor [ask turtles in-radius brush-size [set color draw-color set heading color]]] end to erase-all ask turtles [if pcolor != white [set color red set heading color]] end to deformed let rec-1 turtles with [length remove-duplicates values-from turtles-on neighbors-6 [color] = 1 and length remove-duplicates values-from turtles-on neighbors-6 [heading] = 1 and length remove-duplicates values-from turtles-on neighbors-6 [shape] = 1 or not any? turtles-on neighbors-6] ask turtles [set new-color color] if any? rec-1 [ask random-one-of rec-1 [ifelse breed != recgrain [set breed recgrain set new-color 5 + (random 14 * 10) + random 3 set heading random 360 set shape "triangle 2"] [stop]]] ask turtles [set color new-color if (any? other-turtles-here) [ask other-turtles-here [die]]] end to grain-boundary let rec-2 turtles with [length remove-duplicates values-from turtles-on neighbors-6 [color] = 2 and length remove-duplicates values-from turtles-on neighbors-6 [heading] = 2 and length remove-duplicates values-from turtles-on neighbors-6 [shape] = 1] ask turtles [set new-color color] if any? rec-2 [ask random-one-of rec-2 [ifelse breed != recgrain [set breed recgrain set new-color 5 + (random 14 * 10) + random 3 set heading random 360 set shape "arrow"] [stop]]] ask turtles [set color new-color if (any? other-turtles-here) [ask other-turtles-here [die]]] end to grain-corner let rec-3 turtles with [length remove-duplicates values-from turtles-on neighbors-6 [color] = 3 and length remove-duplicates values-from turtles-on neighbors-6 [heading] = 3 and length remove-duplicates values-from turtles-on neighbors-6 [shape] = 1 ] ask turtles [set new-color color ] if any? rec-3 [ask random-one-of rec-3 [ifelse breed != recgrain [set breed recgrain set new-color 5 + (random 14 * 10) + random 3 set heading random 360 set shape "default"] [stop]]] ask turtles [set color new-color] end to repair-2 ask turtles [ifelse pxcor mod 2 = 0 [set atoms-6 turtles at-points [[0 1] [1 0] [1 -1] [0 -1] [-1 -1] [-1 0]]] [set atoms-6 turtles at-points [[0 1] [1 1] [1 0] [0 -1] [-1 0] [-1 1]]]] ask recgrain [if any? atoms-6 [if not any? atoms-6 with [ shape = shape-of myself] or not any? atoms-6 with [color = color-of myself] [set color color-of one-of atoms-6 set heading heading-of one-of atoms-6 set shape shape-of one-of atoms-6]]] end to spread if any? recgrain [ask recgrain [let my-color color let my-heading heading let my-shape shape let others random-one-of neighbors-6 with [(pcolor != blue) and (pcolor != white) and (any? turtles-here with [breed != recgrain])] if (others != nobody) [ask random-one-of neighbors-6 with [(abs pycor < ymax) and (abs pxcor < xmax) and (abs pycor < screen-edge-y) and (abs pxcor < screen-edge-x) and (any? turtles-here with [breed != recgrain])] [sprout 1 [if (pxcor mod 2 = 0) [set ycor ycor - 0.5] set breed recgrain set color my-color set heading my-heading set shape my-shape if (any? other-turtles-here) [ask other-turtles-here [die]]]]]]] repair-2 end to recrystallize if grain-corners [grain-corner] if grain-boundaries [grain-boundary] if deformed-matrix [deformed] spread end to grain-count-2 set orientation 90 set intercepts 0 set total-atoms count turtles ask recgrain [if ((xcor != (xmax - 1)) and (who < ((width * height) - 1)) and (who < total-atoms)) [ifelse any? turtles-on (patch-at-heading-and-distance orientation 1) [let right-neighbor-heading heading-of (random-one-of turtles-on (patch-at-heading-and-distance orientation 1)) if (heading != (right-neighbor-heading)) [ set intercepts (intercepts + 1)]] [set intercepts (intercepts + 1)]]] ifelse intercepts = 0 [set average-grain-size-2 (total-atoms)] [set average-grain-size-2 ((total-atoms) / intercepts)] end to go set total-atoms count turtles set %rec (count recgrain / total-atoms) if ticks > 0 [set logtime (log ticks 10)] if plastically-deformed [if temperature = 700 [if ticks >= 10 [recrystallize]] if temperature = 675 [if ticks >= 15 [recrystallize]] if temperature = 650 [if ticks >= 20 [recrystallize]] if temperature = 625 [if ticks >= 25 [recrystallize]] if temperature = 600 [if ticks >= 30 [recrystallize]]] set ticks (ticks + 1) plot count recgrain grain-count-2 end @#$#@#$#@ GRAPHICS-WINDOW 482 41 978 558 25 25 9.53 1 16 1 1 1 0 1 1 1 CC-WINDOW 5 589 1002 684 Command Center 0 BUTTON 201 101 268 135 NIL setup NIL 1 T OBSERVER T NIL SLIDER 21 101 189 134 num-of-grain num-of-grain 1 20 20 1 1 grain(s) SLIDER 21 30 186 63 width width 1 50 50 1 1 atoms SLIDER 200 30 364 63 height height 1 50 50 1 1 atoms BUTTON 21 140 154 183 make grain (continuously) make-initial-grain\n T 1 T OBSERVER T NIL SLIDER 20 315 219 348 temperature temperature 550 700 700 25 1 centigrade TEXTBOX 10 10 249 28 (1) Set Dimension of Material and Atom Shape TEXTBOX 285 80 434 98 (b) Draw Grains by Yourself TEXTBOX 8 215 238 245 (a) Give Plastic Deformation? TEXTBOX 576 22 993 40 DEVELOPMENT OF RECRYSTALLIZED ARTIFICIAL MICROSTRUCTURE CHOOSER 381 20 473 65 atom-shape atom-shape "line" "circle" "hex" 2 TEXTBOX 8 200 174 218 (3) Modify Processing Parameter TEXTBOX 8 67 124 85 (2) Create The Grain TEXTBOX 8 81 158 99 (a) Choose number of grains BUTTON 382 140 474 185 draw turtle-draw T 1 T OBSERVER T NIL BUTTON 285 152 377 185 erase all erase-all NIL 1 T OBSERVER T NIL SLIDER 382 102 474 135 brush-size brush-size 0 6 0 1 1 NIL CHOOSER 285 101 377 146 draw-color draw-color 15 25 35 45 55 65 75 85 95 105 115 125 135 3 TEXTBOX 23 229 253 247 (Deformed above its critical deformation) TEXTBOX 7 283 211 301 (b) Set The Annealing Temperature BUTTON 20 380 132 422 GO!!! (continuously) go T 1 T OBSERVER T NIL MONITOR 418 374 471 423 time ticks 3 1 PLOT 19 427 471 575 TIME VS %REC time (log scale) %rec 0.0 10.0 0.0 10.0 true false TEXTBOX 21 297 266 315 (Recrystallization temperature = 600 c) BUTTON 156 140 268 184 make grain (per step) make-initial-grain NIL 1 T OBSERVER T NIL SWITCH 281 238 444 271 grain-corners grain-corners 0 1 -1000 SWITCH 281 276 444 309 grain-boundaries grain-boundaries 0 1 -1000 SWITCH 281 314 445 347 deformed-matrix deformed-matrix 0 1 -1000 TEXTBOX 4 361 154 379 (4) Recrystallization TEXTBOX 270 217 420 235 (c) Choose Nucleation Sites BUTTON 137 380 254 423 GO!!! (per step) go NIL 1 T OBSERVER T NIL MONITOR 262 374 336 423 init-grain size average-grain-size 3 1 MONITOR 339 374 414 423 rec-grain-size average-grain-size-2 3 1 SWITCH 21 246 188 279 plastically-deformed plastically-deformed 0 1 -1000 @#$#@#$#@ WHAT IS IT? ----------- Recrystallization comes from two words: re and crystallization. It means that there was a preceding crystallization process occurring in a material before the similar process occurs for the second times. Recrystallization happens in all kinds of material: metal, ceramic, polymer, as long as the material has crystal structure. Recrystallization is a phenomena occurring during annealing. Annealing is one of the heat treatment processes, that a material is heated at the elevated temperature, then held at a period of time, and then slowly cooled. There are three phenomenon occur during annealing process: recovery, recyrstallization, and grain growth. The term recrystallization is defined as the formation of new set strain-free and equiaxed grains. The main purpose of this two-dimensional model is to comprehend recrystallization phenomenon and identify how the processing parameters affect the microstructure resulted. A related model in NetLogo Models Library, MaterialSim Grain Growth, shows how the configuration and sizes of grains change over time. Some parameters in the former were developed and reused in this model. HOW IT WORKS ------------ We can divide the simulation into two parts. The first one is to create the initial grains, and the second one is to run the recrystallization. Here are the steps to create initial grains: 1. Choose a random atom. 2. Check whether its neighbors have an atom on it or not. If its neighbors are still unoccupied, then go to the next step. Otherwise, the next step will not be executed. 3. In all unoccupied sites at its neighbors, create atoms which are identical with the chosen atom. Overall, it will create a small cluster of atoms which have same color and orientation. 4. The step will stop when an atom finds its neighbors have been occupied by other atoms, so there will be no double atoms in a same place. It means that this random function will create various size of grains, as the initial atom could be anywhere in the material. 5. Step 1-4 is executed simultaneously with the other atoms which have different color and orientation. Note that the number of grains is determined by choosing it from the slider. The initial grain diameter will depend on the number of grain we determine. And the steps for recrystallization are: 1. Check these conditions: a. The material is plastically deformed b. The annealing temperature is above the recrystallization temperature If these two conditions are satisfied, then go to the next step. Otherwise, recrystallization will not occur. 2. Check the nucleation sites: grain-corner, grain-boundary, and deformed matrix. The one chosen “On” will be the place where recrystallized atom nucleate. 3. Randomly choose an atom from the nucleation sites which are set “On”. Then, choose a new shape, orientation, and color for that atom. This is the recrystallized atom. 4. Now we are able to distinguish the type of atoms: initial atom, and recrystallized atom. Then, check whether the atom type on its neighbors is initial atom or not. If it is not an initial atom, then replace the atoms with recrystallized atoms which are identical with the chosen one. Overall, it will create a small cluster of recrystallized atoms which have same new shape, color, and orientation. 5. The step will stop when an atom finds no initial atoms anymore at its neighbors. This is the end of recrystallization. HOW TO USE IT ------------- Simulation starting point: 1. Set the dimension of material and atom shape ? WIDTH: set x (horizontal) dimension of the material ? HEIGHT: set y (vertical) dimension of the material ? ATOM-SHAPE: choose the shape of atom. This chooser has many different shapes, such as circle, hex, and line. 2. Creating the grain ? NUM-OF-GRAIN: choose the number of initial grain ? SETUP: set the simulation and create initial atoms ? MAKE GRAIN (CONTINUOUSLY): create initial grains continuously ? MAKE GRAIN (PER STEP): create initial grains, one time step at a time. ? Draw the grain: - DRAW button: activates drawing - ERASE ALL: erases the screen and sets all atoms to red - BRUSH-SIZE: set the radius of the brush - DRAW-COLOR: change the numeric value of the drawing color. 3. Modify processing parameters ? PLASTICALLY-DEFORMED: the material is needed to be plastically deformed if we want the recrystallization to be occurred ? TEMPERATURE: choose the annealing temperature ? GRAIN-CORNERS: set whether the recrystallized atoms are nucleated at grain corner or not. Grain corner is the intersection among three grains. ? GRAIN-BOUNDARIES: set whether the recrystallized atoms are nucleated at grain corner or not. Grain boundary is the intersection between two grains. ? DEFORMED-MATRIX: set whether the recrystallized atoms are nucleated at deformed matrix or not. Deformed matrix located inside a grain. 4. Recrystallization ? GO!!! (CONTINUOUSLY): execute recrystallization continuously ? GO!!! (PER STEP): execute recrystallization, one step at a time 5. Plot and Monitors ? TIME VS %REC: this is a plot of simulation time vs. fraction recrystallized. The plot will follow a sigmoidal shape. ? INIT-GRAIN-SIZE: grain size of the initial atoms ? REC-GRAIN-SIZE: grain size of the recrystallized atoms ? TIME: time steps of the simulation so far THINGS TO NOTICE ---------------- The input variables in this model: ? Dimension of material ? Number of initial grain ? Plastic deformation ? Annealing temperature ? Nucleation sites And the output variables are: ? Initial grain size ? Recrystallized grain size From this model we also can see the change of microstructure during recrystallization, and the plot of time vs. fraction recrystallized. This plot will be a sigmoidal curve, the one which is a common shape of a solid state transformation. Recrystallization is a solid state transformation. THINGS TO TRY ------------- ? Dimension of material brings effect to the characteristic of recrystallization plot. Compare between a big and a small size of material by setting from WIDTH and HEIGHT slider ? Initial grain size affects the recrystallized grain size. Try to make different sizes of initial grains. Choose from the NUM-OF-GRAIN slider. Then, figure out what is the effect of the initial grain sizes by looking at the monitor INIT-GRAIN-SIZE and REC-GRAIN-SIZE ? See the effect of plastic deformation in recrystallization by choosing from switch PLASTICALLY-DEFORMED ? The higher the temperature, the faster recrystallization will occur. Try to figure it out by varying the temperature. Note that recrystallization will not occur when the annealing temperature is below recrystallization temperature. ? Try to choose different nucleation sites. You will see that the more possible nucleation sites in the material will produce smaller recrystallized grain size. Grain corner has less nucleation sites than grain boundary and deformed matrix. EXTENDING THE MODEL ------------------- ? This model assumes that the composition of material is pure and perfect. Pure means no impurities in the material. Perfect means no vacancy in the material. ? The rate of nucleation and growth during recrystallization is identical at any sites in the material. ? No deformed structure is shown in this model. NETLOGO FEATURES ---------------- ? It uses a hexagonal grid (as opposed to a square one) ? It uses different shapes for different visualization purposes. RELATED MODELS -------------- ? MaterialSim Grain Growth ? Crystallization Basic ? Crystallization Directed CREDITS AND REFERENCES ---------------------- Some parts in this model are adopted from MaterialSim Grain Growth Model, see http://ccl.northwestern.edu/materialsim/. @#$#@#$#@ default true 0 Polygon -7500403 true true 150 5 40 250 150 205 260 250 aaa true 0 Polygon -7500403 true true 150 165 209 199 225 225 225 255 195 270 165 255 150 240 Polygon -7500403 true true 150 165 89 198 75 225 75 255 105 270 135 255 150 240 Polygon -7500403 true true 139 148 100 105 55 90 25 90 10 105 10 135 25 180 40 195 85 194 139 163 Polygon -7500403 true true 162 150 200 105 245 90 275 90 290 105 290 135 275 180 260 195 215 195 162 165 Polygon -16777216 true false 150 255 135 225 120 150 135 120 150 105 165 120 180 150 165 225 Circle -16777216 true false 135 90 30 Line -16777216 false 150 105 195 60 Line -16777216 false 150 105 105 60 airplane true 0 Polygon -7500403 true true 150 0 135 15 120 60 120 105 15 165 15 195 120 180 135 240 105 270 120 285 150 270 180 285 210 270 165 240 180 180 285 195 285 165 180 105 180 60 165 15 arrow true 0 Polygon -7500403 true true 150 0 0 150 105 150 105 293 195 293 195 150 300 150 box false 0 Polygon -7500403 true true 150 285 285 225 285 75 150 135 Polygon -7500403 true true 150 135 15 75 150 15 285 75 Polygon -7500403 true true 15 75 15 225 150 285 150 135 Line -16777216 false 150 285 150 135 Line -16777216 false 150 135 15 75 Line -16777216 false 150 135 285 75 bug true 0 Circle -7500403 true true 96 182 108 Circle -7500403 true true 110 127 80 Circle -7500403 true true 110 75 80 Line -7500403 true 150 100 80 30 Line -7500403 true 150 100 220 30 butterfly true 0 Polygon -7500403 true true 150 165 209 199 225 225 225 255 195 270 165 255 150 240 Polygon -7500403 true true 150 165 89 198 75 225 75 255 105 270 135 255 150 240 Polygon -7500403 true true 139 148 100 105 55 90 25 90 10 105 10 135 25 180 40 195 85 194 139 163 Polygon -7500403 true true 162 150 200 105 245 90 275 90 290 105 290 135 275 180 260 195 215 195 162 165 Polygon -16777216 true false 150 255 135 225 120 150 135 120 150 105 165 120 180 150 165 225 Circle -16777216 true false 135 90 30 Line -16777216 false 150 105 195 60 Line -16777216 false 150 105 105 60 car false 0 Polygon -7500403 true true 300 180 279 164 261 144 240 135 226 132 213 106 203 84 185 63 159 50 135 50 75 60 0 150 0 165 0 225 300 225 300 180 Circle -16777216 true false 180 180 90 Circle -16777216 true false 30 180 90 Polygon -16777216 true false 162 80 132 78 134 135 209 135 194 105 189 96 180 89 Circle -7500403 true true 47 195 58 Circle -7500403 true true 195 195 58 circle false 0 Circle -7500403 true true 0 0 300 circle 2 false 0 Circle -7500403 true true 0 0 300 Circle -16777216 true false 30 30 240 cow false 0 Polygon -7500403 true true 200 193 197 249 179 249 177 196 166 187 140 189 93 191 78 179 72 211 49 209 48 181 37 149 25 120 25 89 45 72 103 84 179 75 198 76 252 64 272 81 293 103 285 121 255 121 242 118 224 167 Polygon -7500403 true true 73 210 86 251 62 249 48 208 Polygon -7500403 true true 25 114 16 195 9 204 23 213 25 200 39 123 cylinder false 0 Circle -7500403 true true 0 0 300 dot false 0 Circle -7500403 true true 90 90 120 face happy false 0 Circle -7500403 true true 8 8 285 Circle -16777216 true false 60 75 60 Circle -16777216 true false 180 75 60 Polygon -16777216 true false 150 255 90 239 62 213 47 191 67 179 90 203 109 218 150 225 192 218 210 203 227 181 251 194 236 217 212 240 face neutral false 0 Circle -7500403 true true 8 7 285 Circle -16777216 true false 60 75 60 Circle -16777216 true false 180 75 60 Rectangle -16777216 true false 60 195 240 225 face sad false 0 Circle -7500403 true true 8 8 285 Circle -16777216 true false 60 75 60 Circle -16777216 true false 180 75 60 Polygon -16777216 true false 150 168 90 184 62 210 47 232 67 244 90 220 109 205 150 198 192 205 210 220 227 242 251 229 236 206 212 183 fish true 0 Polygon -1 true false 44 131 21 87 15 86 0 120 15 150 0 180 13 214 20 212 45 166 Polygon -1 true false 135 195 119 235 95 218 76 210 46 204 60 165 Polygon -1 true false 75 45 83 77 71 103 86 114 166 78 135 60 Polygon -7500403 true true 30 136 151 77 226 81 280 119 292 146 292 160 287 170 270 195 195 210 151 212 30 166 Circle -16777216 true false 215 106 30 flag false 0 Rectangle -7500403 true true 60 15 75 300 Polygon -7500403 true true 90 150 270 90 90 30 Line -7500403 true 75 135 90 135 Line -7500403 true 75 45 90 45 flower false 0 Polygon -10899396 true false 135 120 165 165 180 210 180 240 150 300 165 300 195 240 195 195 165 135 Circle -7500403 true true 85 132 38 Circle -7500403 true true 130 147 38 Circle -7500403 true true 192 85 38 Circle -7500403 true true 85 40 38 Circle -7500403 true true 177 40 38 Circle -7500403 true true 177 132 38 Circle -7500403 true true 70 85 38 Circle -7500403 true true 130 25 38 Circle -7500403 true true 96 51 108 Circle -16777216 true false 113 68 74 Polygon -10899396 true false 189 233 219 188 249 173 279 188 234 218 Polygon -10899396 true false 180 255 150 210 105 210 75 240 135 240 ghost false 0 Polygon -7500403 true true 30 165 13 164 -2 149 0 135 -2 119 0 105 15 75 30 75 58 104 43 119 43 134 58 134 73 134 88 104 73 44 78 14 103 -1 193 -1 223 29 208 89 208 119 238 134 253 119 240 105 238 89 240 75 255 60 270 60 283 74 300 90 298 104 298 119 300 135 285 135 285 150 268 164 238 179 208 164 208 194 238 209 253 224 268 239 268 269 238 299 178 299 148 284 103 269 58 284 43 299 58 269 103 254 148 254 193 254 163 239 118 209 88 179 73 179 58 164 Line -16777216 false 189 253 215 253 Circle -16777216 true false 102 30 30 Polygon -16777216 true false 165 105 135 105 120 120 105 105 135 75 165 75 195 105 180 120 Circle -16777216 true false 160 30 30 hex false 0 Polygon -7500403 true true 0 150 75 30 225 30 300 150 225 270 75 270 house false 0 Rectangle -7500403 true true 45 120 255 285 Rectangle -16777216 true false 120 210 180 285 Polygon -7500403 true true 15 120 150 15 285 120 Line -16777216 false 30 120 270 120 leaf false 0 Polygon -7500403 true true 150 210 135 195 120 210 60 210 30 195 60 180 60 165 15 135 30 120 15 105 40 104 45 90 60 90 90 105 105 120 120 120 105 60 120 60 135 30 150 15 165 30 180 60 195 60 180 120 195 120 210 105 240 90 255 90 263 104 285 105 270 120 285 135 240 165 240 180 270 195 240 210 180 210 165 195 Polygon -7500403 true true 135 195 135 240 120 255 105 255 105 285 135 285 165 240 165 195 line true 0 Line -7500403 true 150 0 150 300 line half true 0 Line -7500403 true 150 0 150 150 pentagon false 0 Polygon -7500403 true true 150 15 15 120 60 285 240 285 285 120 person true 0 Circle -7500403 true true 110 5 80 Polygon -7500403 true true 105 90 120 195 90 285 105 300 135 300 150 225 165 300 195 300 210 285 180 195 195 90 Rectangle -7500403 true true 127 79 172 94 Polygon -7500403 true true 195 90 240 150 225 180 165 105 Polygon -7500403 true true 105 90 60 150 75 180 135 105 plant false 0 Rectangle -7500403 true true 135 90 165 300 Polygon -7500403 true true 135 255 90 210 45 195 75 255 135 285 Polygon -7500403 true true 165 255 210 210 255 195 225 255 165 285 Polygon -7500403 true true 135 180 90 135 45 120 75 180 135 210 Polygon -7500403 true true 165 180 165 210 225 180 255 120 210 135 Polygon -7500403 true true 135 105 90 60 45 45 75 105 135 135 Polygon -7500403 true true 165 105 165 135 225 105 255 45 210 60 Polygon -7500403 true true 135 90 120 45 150 15 180 45 165 90 square false 0 Rectangle -7500403 true true 30 30 270 270 square 2 false 0 Rectangle -7500403 true true 30 30 270 270 Rectangle -16777216 true false 60 60 240 240 star false 0 Polygon -7500403 true true 151 1 185 108 298 108 207 175 242 282 151 216 59 282 94 175 3 108 116 108 target false 0 Circle -7500403 true true 0 0 300 Circle -16777216 true false 30 30 240 Circle -7500403 true true 60 60 180 Circle -16777216 true false 90 90 120 Circle -7500403 true true 120 120 60 tree false 0 Circle -7500403 true true 118 3 94 Rectangle -6459832 true false 120 195 180 300 Circle -7500403 true true 65 21 108 Circle -7500403 true true 116 41 127 Circle -7500403 true true 45 90 120 Circle -7500403 true true 104 74 152 triangle false 0 Polygon -7500403 true true 150 30 15 255 285 255 triangle 2 true 0 Polygon -7500403 true true 150 30 15 255 285 255 Polygon -16777216 true false 151 99 225 223 75 224 truck false 0 Rectangle -7500403 true true 4 45 195 187 Polygon -7500403 true true 296 193 296 150 259 134 244 104 208 104 207 194 Rectangle -1 true false 195 60 195 105 Polygon -16777216 true false 238 112 252 141 219 141 218 112 Circle -16777216 true false 234 174 42 Rectangle -7500403 true true 181 185 214 194 Circle -16777216 true false 144 174 42 Circle -16777216 true false 24 174 42 Circle -7500403 false true 24 174 42 Circle -7500403 false true 144 174 42 Circle -7500403 false true 234 174 42 turtle true 0 Polygon -10899396 true false 215 204 240 233 246 254 228 266 215 252 193 210 Polygon -10899396 true false 195 90 225 75 245 75 260 89 269 108 261 124 240 105 225 105 210 105 Polygon -10899396 true false 105 90 75 75 55 75 40 89 31 108 39 124 60 105 75 105 90 105 Polygon -10899396 true false 132 85 134 64 107 51 108 17 150 2 192 18 192 52 169 65 172 87 Polygon -10899396 true false 85 204 60 233 54 254 72 266 85 252 107 210 Polygon -7500403 true true 119 75 179 75 209 101 224 135 220 225 175 261 128 261 81 224 74 135 88 99 wheel false 0 Circle -7500403 true true 3 3 294 Circle -16777216 true false 30 30 240 Line -7500403 true 150 285 150 15 Line -7500403 true 15 150 285 150 Circle -7500403 true true 120 120 60 Line -7500403 true 216 40 79 269 Line -7500403 true 40 84 269 221 Line -7500403 true 40 216 269 79 Line -7500403 true 84 40 221 269 x false 0 Polygon -7500403 true true 270 75 225 30 30 225 75 270 Polygon -7500403 true true 30 75 75 30 270 225 225 270 @#$#@#$#@ NetLogo 3.0.2 @#$#@#$#@ @#$#@#$#@ @#$#@#$#@ @#$#@#$#@