turtles-own [x-pos ;; x-pos, y-pos, and z-pos are the cartesian coordinates y-pos ;; don't confuse them with xcor and ycor, which are predefined NetLogo variables for turtles z-pos p ;; p, theta, and phi are the spherical coordinates theta phi temp-alpha ;; used to store temporary random values temp-beta temp-gamma ] to namesti-sfera ca ;; generate a sphere of radius SHAPE-SIZE cct stevilo-pik [set p ploskev-velikost ; all points are equal distance from the center set theta random-float 360 ; however, random distribution on the surface of the sphere set phi random-float 180 render-turtle ] end ; a filled 3-d cube to namesti-stozec-polnilo ca ;; generate a square with edge of length radius ;; placing a point randomly anywhere inside the square cct stevilo-pik [cartset ((- ploskev-velikost) + 2 * (random-float ploskev-velikost)) ((- ploskev-velikost) + 2 * (random-float ploskev-velikost)) ((- ploskev-velikost) + 2 * (random-float ploskev-velikost)) render-turtle ] end ; cube with turtles only on its surface to nam-stoz-povrsina ca cct stevilo-pik [set temp-alpha ploskev-velikost * (1 - 2 * (random 2)) ; +-shape-size set temp-beta ploskev-velikost - 2 * (random-float ploskev-velikost) ; random distribution bounded by +-shape-size set temp-gamma (random 2) ; front/back or left/right? ifelse temp-gamma = 0 ; generating the front and back surfaces [cartset (temp-alpha) (temp-beta) (ploskev-velikost - (2 * (random-float ploskev-velikost))) ] [cartset (temp-beta) ; generating the side surfaces (temp-alpha) (ploskev-velikost - (2 * (random-float ploskev-velikost))) ] render-turtle ] end ; 3-d cone to namesti-stozec ca cct stevilo-pik [set theta (random-float 360) ; points have a random angle set p (random-float ploskev-velikost) cartset (p * (cos theta)) ; x = r*cos(theta) (p * (sin theta)) ; y = r*sin(theta) (ploskev-velikost - 2 * p) ; this centers the cone at the origin ; instead of it only being in positive space render-turtle ] end ; vertical cylinder to namesti-valj-p ca ;the code is almost the same as the namesti-stozec code ;except the xy-plane radius remains constant cct stevilo-pik [set theta (random-float 360) cartset (ploskev-velikost * (cos theta)) (ploskev-velikost * (sin theta)) ((- ploskev-velikost) + 2 * (random-float ploskev-velikost)) render-turtle ] end ; horizontal cylinder to namesti-valj-l ca ;generates a cylinder in a horizontal position with capped ends cct stevilo-pik [set temp-alpha (random 3) ; which surface (left, right, or body?) set theta (random-float 360) ifelse temp-alpha = 0 ; generating the actual cylinder [cartset ((- ploskev-velikost) + 2 * (random-float ploskev-velikost)) (ploskev-velikost * (cos theta)) (ploskev-velikost * (sin theta)) ] [ifelse temp-alpha = 1 ; generating sides [set temp-alpha -1] ; left side [set temp-alpha 1] ; right side cartset (temp-alpha * ploskev-velikost) ((random-float ploskev-velikost) * (cos theta)) ((random-float ploskev-velikost) * (sin theta)) ] render-turtle ] end to namesti-piramida ca cct stevilo-pik [set temp-alpha (- ploskev-velikost) + 2 * (random-float ploskev-velikost) ; z coordinate set theta (random 2) ; front/back or side? set temp-beta (ploskev-velikost - temp-alpha) / 2 set temp-gamma -1 + 2 * (random 2) ; left/right or front/back (-1 or 1) ifelse theta = 0 [cartset (temp-beta * temp-gamma) ; generating left/right surfaces ((- temp-beta) + 2 * (random-float temp-beta)) (temp-alpha) ] [cartset ((- temp-beta) + 2 * (random-float temp-beta)) ; generating front/back surfaces (temp-beta * temp-gamma) (temp-alpha) ] render-turtle ] end ;; convert from cartesian to spherical coordinates to cartset [x y z] set p sqrt((x ^ 2) + (y ^ 2) + (z ^ 2)) set phi (atan sqrt((x ^ 2) + (y ^ 2)) z) set theta (atan y x) end to zacni ; rotate-turtles on z axis ask turtles [set theta ((theta + zasuk-hitrost) mod 360) ; incrementing the angle to simulate rotation render-turtle ] end to render-turtle calculate-turtle-position set-turtle-position end ;; convert from spherical to cartesian coordinates to calculate-turtle-position set y-pos (p * (sin phi) * (sin theta)) set x-pos (p * (sin phi) * (cos theta)) set z-pos (p * (cos phi)) end ;; set the turtle's position and color to set-turtle-position ifelse (pogled = "s strani") ; s stranipogled [setxy x-pos z-pos set color scale-color nastavi-barvo y-pos (- ploskev-velikost) ploskev-velikost ] [ifelse (pogled = "z vrha") ; z vrhapogled [setxy x-pos y-pos set color scale-color nastavi-barvo z-pos (- ploskev-velikost) ploskev-velikost ] [setxy (p * (sin phi) * (cos theta)) ; od spodajpogled (- (p * (sin phi) * (sin theta))) set color scale-color nastavi-barvo (- z-pos) (- ploskev-velikost) ploskev-velikost ] ] end ; *** NetLogo 3.1.3 Model Copyright Notice *** ; ; This model was created as part of the project: CONNECTED MATHEMATICS: ; MAKING SENSE OF COMPLEX PHENOMENA THROUGH BUILDING OBJECT-BASED PARALLEL ; MODELS (OBPML). The project gratefully acknowledges the support of the ; National Science Foundation (Applications of Advanced Technologies ; Program) -- grant numbers RED #9552950 and REC #9632612. ; ; Copyright 1998 by Uri Wilensky. All rights reserved. ; ; Permission to use, modify or redistribute this model is hereby granted, ; provided that both of the following requirements are followed: ; a) this copyright notice is included. ; b) this model will not be redistributed for profit without permission ; from Uri Wilensky. ; Contact Uri Wilensky for appropriate licenses for redistribution for ; profit. ; ; This model was converted to NetLogo as part of the projects: ; PARTICIPATORY SIMULATIONS: NETWORK-BASED DESIGN FOR SYSTEMS LEARNING ; IN CLASSROOMS and/or INTEGRATED SIMULATION AND MODELING ENVIRONMENT. ; The project gratefully acknowledges the support of the ; National Science Foundation (REPP & ROLE programs) -- ; grant numbers REC #9814682 and REC-0126227. ; Converted from StarLogoT to NetLogo, 2001. ; ; To refer to this model in academic publications, please use: ; Wilensky, U. (1998). NetLogo 3D Solids model. ; http://ccl.northwestern.edu/netlogo/models/3DSolids. ; Center for Connected Learning and Computer-Based Modeling, ; Northwestern University, Evanston, IL. ; ; In other publications, please use: ; Copyright 1998 Uri Wilensky. All rights reserved. ; See http://ccl.northwestern.edu/netlogo/models/3DSolids ; for terms of use. ; ; *** End of NetLogo 3.1.3 Model Copyright Notice *** @#$#@#$#@ GRAPHICS-WINDOW 298 10 671 404 60 60 3.0 1 10 1 1 1 0 0 0 1 -60 60 -60 60 CC-WINDOW 5 418 680 513 Command Center 0 BUTTON 176 38 269 71 zacni zacni T 1 T OBSERVER T NIL SLIDER 158 136 288 169 stevilo-pik stevilo-pik 0 2000 783 1 1 NIL SLIDER 158 232 288 265 zasuk-hitrost zasuk-hitrost -10.0 10.0 -8.0 1.0 1 NIL BUTTON 19 40 127 73 namesti-sfera namesti-sfera NIL 1 T OBSERVER T NIL BUTTON 19 280 173 313 namesti-kocka-polnilo namesti-stozec-polnilo NIL 1 T OBSERVER T NIL SLIDER 158 184 288 217 ploskev-velikost ploskev-velikost 10.0 40.0 34.5 0.1 1 NIL BUTTON 19 88 133 121 namesti-stozec namesti-stozec NIL 1 T OBSERVER T NIL BUTTON 19 136 136 169 namesti-valj-p namesti-valj-p NIL 1 T OBSERVER T NIL BUTTON 19 184 134 217 namesti-valj-l namesti-valj-l NIL 1 T OBSERVER T NIL BUTTON 19 232 161 265 nam-kocka-povrsina nam-stoz-povrsina NIL 1 T OBSERVER T NIL BUTTON 19 328 144 361 namesti-piramida namesti-piramida NIL 1 T OBSERVER T NIL SLIDER 158 88 288 121 nastavi-barvo nastavi-barvo 5.0 135.0 115.0 10.0 1 NIL CHOOSER 200 358 292 403 pogled pogled "s strani" "z vrha" "od spodaj" 1 @#$#@#$#@ KAJ JE? ----------- Ta model iz dvorazsežnih želv ustvarja trirazsežne prostorske ploskve tako, da začrta želve med piramidnimi in sfernimi trirazsežnimi koordinatami. KAKO DELUJE? ------------ Da bi ustvaril trirazsežne prostorske ploskve, program naključno generira želve med piramidnimi (x, y, z) ali sfernimi (theta, phi, z) koordinatami, odvisno od tega, kaj je lažje doseči. Program v vsakem primeru vedno shrani nove informacije, če je to potrebno, v sfernih koordinatah. Da bi izvedel sfero v NetLogovem prikazu, program prevede želve iz sfernih v piramidne koordinate, z uporabo barv pa nakaže globino. Položaji želv so vedno shranjeni kot sferne koordinate, ker se vrtijo na z osi; najlažji način, da se to doseže, je, da se poveča theto v sfernih koordinatah. Pretvorba iz piramidnih v sferne koordinate: x = r * cos(theta) = p * sin(phi) * cos(theta) y = r * sin(theta) = p * sin(phi) * sin(theta) z = p * cos(theta) theta: kot želvine projekcije na x-y raven. Phi: kot želve vpada z osjo z. p: razdalja želve od izvora. KAKO GA UPORABLJATI? ------------- Klikni na drugo nastavitev – PLOSKVE gumb, ki generira različne trirazsežne ploskve. Želve so naključno porazdeljene po površini ploskve. Klikni na ZACNI (zavedno) gumb, da poženeš model. Ko pritisneš ZACNI, se model začne vrteti. BARVA: gumb določi barvo, ki se uporablja za ponazoritev globine, in generira različne ploskve (program uporablja vgrajene NetLogove barve). STEVILO-PIK: gumb določa število želv, ki so uporabljene za generiranje različnih ploskev. OBLIKA-VELIKOST: gumb določa celotno velikost ploskve. Ponavadi je velikost polmera ali robne dolžine. ZASUK-HITROST: gumb določa hitrost s katero se želve vrtijo. (Vrtenje želv v procesu vrtenja želv se odvija preprosto z naraščanjem spremenljivke thete vsake želve s hitrostjo theta! Vrtenje želv (na njenih z oseh) je preprosto v sfernih koordinatah. Želve pa je lažje premestiti v piramidnih koordinatah. OBVESTILO ---------- Opaziti je, da so želve, ki so blizu (pozitivne) x osi, videti svetlejše v senci. Želve, ki so bolj oddaljene (negativne) y osi, so v senci videti temnejše. POSKUSITI ---------- Poskusi prilagoditi drsnik theta-vel ali render-color, ko se model vrti. To ti bo dalo pravo povratno informacijo nastavitve. RAZŠIRITI MODEL ---------------- Prilagodi nastavitveni-kvadratni proces in generiraj pravokotnik. Ustvari proces za premestitev koordinat želv. Upoštevaj, da je želve lažje premikati v piramidnih koordinatah. Ustvari proces za generiranje novih prostorskih ploskev. Poskusi animirati spremenljivko phi. Zakaj to nima smisla? Ustvari proces za vrtenje teh prostorskih ploskev na drugi osi. Ustvari proces za pogled prostorskih ploskev pod kateremukoli kotu, ne le sedanjih treh. ZNAČILNOSTI NETLOGA -------------------- Opaziš lahko, da se barve uporabljajo za nakazovanje globine želv in tako se simulira prostorski vtis. ZAHVALE IN REFERENCE ---------------------- Če želite več informacij o tem modelu, uporabite: Wilensky, U. (1998). NetLogo 3D Solids model. http://ccl.northwestern.edu/netlogo/models/3DSolids. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. Copyright 1998 Uri Wilensky. All rights reserved. See http://ccl.northwestern.edu/netlogo/models/3DSolids for terms of use. @#$#@#$#@ default true 0 Polygon -7500403 true true 150 5 40 250 150 205 260 250 link true 0 Line -7500403 true 150 0 150 300 link direction true 0 Line -7500403 true 150 150 30 225 Line -7500403 true 150 150 270 225 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 false 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 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 false 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 false 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 3.1.2 @#$#@#$#@ setup-sphere @#$#@#$#@ @#$#@#$#@ @#$#@#$#@