{"id":303,"date":"2023-05-18T11:23:21","date_gmt":"2023-05-18T09:23:21","guid":{"rendered":"https:\/\/www.jankafialka.sk\/?page_id=303"},"modified":"2023-06-30T10:18:51","modified_gmt":"2023-06-30T08:18:51","slug":"strom","status":"publish","type":"page","link":"https:\/\/www.jankafialka.sk\/?page_id=303","title":{"rendered":"Strom n\u00e1hody"},"content":{"rendered":"\n<p>Ak\u00fd je rozdiel medzi geometriou a v\u00fdtvarn\u00fdm umen\u00edm? Zd\u00e1 sa, \u017ee ide o \u00faplne rozdielne svety, ale nie je to celkom pravda. V oboch pr\u00edpadoch tvor\u00edme obr\u00e1zky \/ obrazy. V \u0161kolskej geometrii pou\u017e\u00edvame presn\u00e9 postupy, pod\u013ea ktor\u00fdch dost\u00e1vame v\u017edy rovnak\u00e9 kon\u0161trukcie. Umelec m\u00e1 \u010dasto iba pribli\u017ene ur\u010den\u00e9, ako m\u00e1 v\u00fdsledn\u00fd obraz vyzera\u0165. Tu sa, naopak, predpoklad\u00e1, \u017ee ka\u017ed\u00fd umelec vytvor\u00ed origin\u00e1lne dielo. V tomto po\u0148at\u00ed je pr\u00edroda sk\u00f4r umeleck\u00e9 dielo. Ka\u017ed\u00fd strom, oblak, \u010dlovek je nie\u010d\u00edm v\u00fdnimo\u010dn\u00fd, neopakovate\u013en\u00fd. Ako by sme mohli nie\u010do tak\u00e9ho vytvori\u0165 len pomocou matematiky? Odpove\u010f je jednoduch\u00e1 &#8211; n\u00e1hoda. Mus\u00edme do postupu vlo\u017ei\u0165 prvok n\u00e1hody.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Strom a jeho geometria<\/h3>\n\n\n\n<p>V nasleduj\u00facej anim\u00e1cii vytv\u00e1rame strom pod\u013ea presn\u00e9ho n\u00e1vodu. Za\u010d\u00edname kme\u0148om, ktor\u00fd je v\u017edy ten ist\u00fd. Tento (a aj \u010fal\u0161ie kon\u00e1re) sa v\u017edy rozvetvuje na tri nov\u00e9 kon\u00e1re. Jeden hned\u00fd stredov\u00fd a dva zelen\u00e9 bo\u010dn\u00e9 &#8211; jeden z\u013eava a jeden sprava od stredov\u00e9ho. M\u00e1me tu tri premenn\u00e9. <\/p>\n\n\n\n<p>1. Odklon stredov\u00e9ho kon\u00e1ra od p\u00f4vodn\u00e9ho smeru. Odklon m\u00f4\u017ee \u00eds\u0165 v smere aj proti smeru hodinov\u00fdch ru\u010di\u010diek. Nulov\u00fd znamen\u00e1, \u017ee p\u00f4jde presne v smere kon\u00e1ra, z ktor\u00e9ho vych\u00e1dza, 180\u00b0 by znamenalo, \u017ee ide presne opa\u010dne. V\u00e4\u010d\u0161ie hodnoty nem\u00e1 zmysel zad\u00e1va\u0165, preto\u017ee to u\u017e sa bude opakova\u0165. (Napr. 200\u00b0 v smere hodinov\u00fdch ru\u010di\u010diek d\u00e1 ten ist\u00fd v\u00fdsledok ako 160\u00b0 proti smeru.) <\/p>\n\n\n\n<p>2. Odklon bo\u010dn\u00fdch vetiev funguje rovnako. Odklon sa po\u010d\u00edta od stredov\u00e9ho kon\u00e1ra. Jedna vetva ide v smere a druh\u00e1 proti smeru hodinov\u00fdch ru\u010di\u010diek. <\/p>\n\n\n\n<p>3. Poslednou premennou je miera skr\u00e1tenia nasleduj\u00facich kon\u00e1rov. T\u00fa ur\u010d\u00edme percentom z d\u013a\u017eky kon\u00e1ra, z ktor\u00e9ho vetvy vych\u00e1dzaj\u00fa. 0% znamen\u00e1, \u017ee vetvy s\u00fa v\u017edy rovnako dlh\u00e9 &#8211; strom n\u00e1m bude r\u00e1s\u0165 donekone\u010dna. 100% zasa znamen\u00e1, \u017ee vetva sa skr\u00e1ti na nulu, teda zanikne. <\/p>\n\n\n\n<p>Z\u00e1kladn\u00fd pr\u00edklad bude &#8211; stredov\u00e1 vetva : 0\u00b0 odklon, bo\u010dn\u00e9 : 45\u00b0 a skr\u00e1tenie o 50%.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.jankafialka.sk\/wp-content\/uploads\/2023\/05\/Screenshot_20230523_103820_Chrome.jpg\" alt=\"Strom bez prvku n\u00e1hody\" class=\"wp-image-425\" width=\"174\" height=\"185\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Strom a n\u00e1hoda<\/h3>\n\n\n\n<p>U\u017e tak\u00fdto jednoduch\u00fd postup n\u00e1m zabezpe\u010d\u00ed vytvorenie pozoruhodn\u00e9ho v\u00fdsledku. Tento v\u00fdsledok je v\u0161ak \u00faplne predv\u00eddate\u013en\u00fd. Ktoko\u013evek a kedyko\u013evek zad\u00e1 rovnak\u00e9 hodnoty premenn\u00fdch, v\u017edy dostane rovnak\u00fd strom. To je trochu nudn\u00e9 a na pr\u00edrodn\u00e9 stromy nepodobn\u00e9. Prid\u00e1me preto do postupu \u0161tipku n\u00e1hody. Ak\u00fa ve\u013ek\u00fa? To je u\u017e vec poh\u013eadu. Ako sa komu p\u00e1\u010di. N\u00e1hodu m\u00f4\u017eeme vlo\u017ei\u0165 do v\u0161etk\u00fdch troch premenn\u00fdch. Stredov\u00fd kon\u00e1r sa m\u00f4\u017ee odkl\u00e1\u0148a\u0165 od p\u00f4vodn\u00e9ho smeru o n\u00e1hodn\u00fd uhol. Bo\u010dn\u00e9 vetvy takisto a aj skr\u00e1tenie m\u00f4\u017ee by\u0165 ur\u010den\u00e9 n\u00e1hodne. A to pre ka\u017ed\u00fa vetvu zvl\u00e1\u0161\u0165. Ak nastav\u00edme maxim\u00e1lnu vo\u013enos\u0165 dostaneme da\u010do, \u010do sa na strom pravdepodobne ve\u013emi podoba\u0165 nebude. <\/p>\n\n\n\n<p>Najlep\u0161ie bude teda n\u00e1hodnos\u0165 nejako rozumne a citlivo nastavi\u0165 &#8211; nie ve\u013ea, nie m\u00e1lo. A to u\u017e nech\u00e1vam na v\u00e1s. Pohrajte sa, sk\u00fa\u0161ajte a v\u00fdsledok, ktor\u00fd sa v\u00e1m bude p\u00e1\u010di\u0165, ulo\u017ete. Strom sa vykresl\u00ed v\u017edy po kliknut\u00ed na plochu obr\u00e1zka. Sta\u010d\u00ed teda zmeni\u0165 \u00fadaje ni\u017e\u0161ie a potom klikn\u00fa\u0165 na obr\u00e1zok. Vysk\u00fa\u0161ajte v\u017edy viacero stromov. Ak pou\u017eijete prvok n\u00e1hody, ka\u017ed\u00fd strom bude jedine\u010dn\u00fd. <\/p>\n\n\n\n<canvas id=\"platnoStrom\"><\/canvas>\n\n<form method=\"post\" class=\"ram\">\nMaxim\u00e1lny odklon stredov\u00e9ho kon\u00e1ra (hned\u00e9ho) plus\/m\u00ednus\n<input type=\"number\" style=\"width: 3em;\" value=\"10\" id=\"stredovy\" name=\"stredovy\"> stup\u0148ov.<br>\nOdklon bo\u010dn\u00fdch kon\u00e1rov v rozp\u00e4t\u00ed od <input type=\"number\" style=\"width: 3em;\" value=\"0\" id=\"bocnyOd\" name=\"bocnyOd\"> do\n<input type=\"number\" style=\"width: 3em;\" value=\"45\" id=\"bocnyDo\" name=\"bocnyDo\"> stup\u0148ov.<br>\nSkr\u00e1tenie nov\u00fdch kon\u00e1rov od <input type=\"number\" id= \"skratenieOd\" name=\"skratenieOd\" style=\"width: 3em;\" value=\"20\">% do <input type=\"number\" id= \"skratenieDo\" name=\"skratenieDo\" style=\"width: 3em;\" value=\"60\">%.<br>\nAk sa ti p\u00e1\u010di tvoje nastavenie, m\u00f4\u017ee\u0161 ho ulo\u017ei\u0165 a prida\u0165 pozn\u00e1mku: <textarea name=\"poznamka\"><\/textarea>. <br>Aktu\u00e1lne zobrazen\u00fd strom sa ulo\u017e\u00ed do tvojho zariadenia.\n<input type=\"submit\" id=\"saveButton2\" name= \"saveButton2\" value=\"Ulo\u017e nastavenie a obr\u00e1zok stromu\">\n<\/form>\n\n\n\n<script>\n{const canvas= document.getElementById(\"platnoStrom\");\n\n\/\/nastavenie rozmerov tak, aby pomer stran bol vzdy rovnaky a cele platno sa zmestilo na obrazovku, ci je na sirku alebo dlzku\nif(document.documentElement.clientWidth < document.documentElement.clientHeight){\ncanvas.width=0.9*document.documentElement.clientWidth;\ncanvas.height=canvas.width*1.3;}\nelse {canvas.height= document.documentElement.clientHeight;\ncanvas.width = canvas.height\/1.3;}\n\nconst ctx=canvas.getContext(\"2d\");\nconst w= canvas.width;\nconst h= canvas.height;\n\nfunction kresliStrom(){\n\/\/nacitam hodnoty uhlov a premenim na radiany\nlet stredovy=document.getElementById(\"stredovy\").value;\nstredovy= stredovy*Math.PI\/180;\nlet bocnyOd=document.getElementById (\"bocnyOd\").value;\nbocnyOd= bocnyOd*Math.PI\/180;\nlet\nbocnyDo=document.getElementById (\"bocnyDo\").value;\nbocnyDo= bocnyDo*Math.PI\/180;\n\nlet skratenieOd= document.getElementById (\"skratenieOd\").value;\nskratenieOd= skratenieOd\/100;\nlet skratenieDo=document.getElementById (\"skratenieDo\").value;\nskratenieDo= skratenieDo\/100;\n\nctx.fillStyle=\"white\";\nctx.fillRect(0,0,w,h);\nctx.strokeStyle=\"black\";\nctx.strokeRect(0,0,w,h);\n\n\/\/pole obsahuje usecky - konare x,y zaciatocneho a x,y koncoveho bodu, prvy je kmen\nlet Pole=[];\nPole[0]=[w\/2,h-20,w\/2, h-20-0.25*h];\nctx.strokeStyle=\"brown\";\nctx.beginPath();\nctx.moveTo(Pole[0][0],Pole[0][1]);\nctx.lineTo(Pole[0][2],Pole[0][3]);\nctx.stroke();\n\n\/\/ nastavenia, aby sa krokovalo zobrazenie 1krok za pol sekundy, konci po 10 krokoch\nconst start1=new Date();\nconst start=start1.getTime();\nlet cas=start;\n\nfunction request(){\nlet now1=new Date();\nlet now=now1.getTime();\nif (now-start<5000){\nif (now-cas>500){\ncas=now;\n\n\/\/pole.length a potom for - aby sa pridavane konare zohladnili az v dalsom kroku\nlet dlzkaPola=Pole.length;\nfor(i=0;i<dlzkaPola;i++){\n\/\/skratenie o %\nlet skrA=(skratenieDo-skratenieOd)*Math.random()+ skratenieOd;\nskrB=(skratenieDo-skratenieOd)*Math.random()+ skratenieOd;\nskrC=(skratenieDo-skratenieOd)*Math.random()+ skratenieOd;\n\n\/\/nahodny uhlol\nlet gamma=stredovy*2*Math.random()+Math.PI-stredovy;\nlet alpha=gamma-bocnyOd- (bocnyDo-bocnyOd)*Math.random();\nlet beta=gamma+bocnyOd+ (bocnyDo-bocnyOd)*Math.random();\n\n\n\/\/prva vetva prepise udaje v poli, najprv skratim, potom otocim\nlet xA1= skrA*Pole[i][2]+(1-skrA)*Pole[i][0]-Pole[i][2];\nlet yA1= skrA*Pole[i][3]+(1-skrA)*Pole[i][1]-Pole[i][3];\n\nlet xA=xA1*Math.cos(alpha)-yA1*Math.sin(alpha)+Pole[i][2];\nlet yA=xA1*Math.sin(alpha)+yA1*Math.cos(alpha)+Pole[i][3];\n\nlet xB1= skrB*Pole[i][2]+(1-skrB)*Pole[i][0]-Pole[i][2];\nlet yB1= skrB*Pole[i][3]+(1-skrB)*Pole[i][1]-Pole[i][3];\n\nlet xB=xB1*Math.cos(beta)-yB1*Math.sin(beta)+Pole[i][2];\nlet yB=xB1*Math.sin(beta)+yB1*Math.cos(beta)+Pole[i][3];\n\nlet xC1= skrC*Pole[i][2]+(1-skrC)*Pole[i][0]-Pole[i][2];\nlet yC1= skrC*Pole[i][3]+(1-skrC)*Pole[i][1]-Pole[i][3];\n\nlet xC=xC1*Math.cos(gamma)-yC1*Math.sin(gamma)+Pole[i][2];\nlet yC=xC1*Math.sin(gamma)+ yC1*Math.cos(gamma)+Pole[i][3];\n\n\/\/ koncovy bod povodnej vetvy bude zaciatkom novej\nPole[i][0]=Pole[i][2];\nPole[i][1]=Pole[i][3];\nPole[i][2]=xA;\nPole[i][3]=yA;\n\nctx.strokeStyle=\"green\";\nctx.beginPath();\nctx.moveTo(Pole[i][0],Pole[i][1]);\nctx.lineTo(Pole[i][2],Pole[i][3]);\nctx.stroke();\n\n\/\/druha a tretia vetva prida novy prvok na koniec pola\nPole.push([Pole[i][0],Pole[i][1],xB,yB]);\nPole.push([Pole[i][0],Pole[i][1],xC,yC]);\n\nctx.strokeStyle=\"green\";\nctx.beginPath();\nctx.moveTo(Pole[i][0],Pole[i][1]);\nctx.lineTo(xB,yB);\nctx.stroke();\nctx.strokeStyle=\"brown\";\nctx.beginPath();\nctx.moveTo(Pole[i][0],Pole[i][1]);\nctx.lineTo(xC,yC);\nctx.stroke();\n}}\nrequestAnimationFrame(request);\n}}\nrequestAnimationFrame(request);\n}\nkresliStrom();\ncanvas.addEventListener(\"click\",kresliStrom);}\n<\/script>\n\n\n\n<script>\n{const canvas = document.getElementById(\"platnoStrom\");\nconst saveButton = document.getElementById('saveButton2');\n\n\/\/ Zaregistruj udalos\u0165 kliknutia na tla\u010didlo\nsaveButton.addEventListener('click', () => {\n  \/\/ Z\u00edskaj URL reprezent\u00e1ciu aktu\u00e1lneho obr\u00e1zka z canvas\n  const dataURL = canvas.toDataURL();\n\n  \/\/ Vytvor odkaz na s\u0165ahovanie s n\u00e1zvom \"canvas-obrazok.png\"\n  const link = document.createElement('a');\n  link.href = dataURL;\n  link.download = 'canvas-obrazok.png';\n\n  \/\/ Kliknut\u00edm na odkaz automaticky stiahne\u0161 obr\u00e1zok\n  link.click();\n});}\n<\/script>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\">Nastavenia, ktor\u00e9 ulo\u017eili n\u00e1v\u0161tevn\u00edci str\u00e1nky<\/h2>\n\n\n\n<p>Sem sa ulo\u017e\u00ed aj tvoje nastavenie, ak klikne\u0161 na tla\u010didlo vy\u0161\u0161ie.<\/p>\n\n\n<table><tr><th>stred<\/th><th colspan=\"2\">odklon bo\u010dn\u00fdch od-do<\/th><th colspan=\"2\">skr\u00e1tenie  v % od-do<\/th><th>pozn\u00e1mka<\/th><\/tr><tr><td>10.00<\/td><td>0.00<\/td><td>45.00<\/td><td>20.00<\/td><td>60.00<\/td><td>Prednastaven\u00e9 hodnoty - ve\u013ek\u00e1 r\u00f4znorodos\u0165 stromov.<\/td><\/tr><tr><td>0.00<\/td><td>45.00<\/td><td>45.00<\/td><td>40.00<\/td><td>40.00<\/td><td>Nulov\u00e1 variabilita.<\/td><\/tr><tr><td>180.00<\/td><td>0.00<\/td><td>180.00<\/td><td>0.00<\/td><td>100.00<\/td><td>Maxim\u00e1lna variabilita. Nepodob\u00e1 sa na strom.<\/td><\/tr><tr><td>10.00<\/td><td>0.00<\/td><td>45.00<\/td><td>40.00<\/td><td>41.00<\/td><td>Brokolica<\/td><\/tr><tr><td>18.00<\/td><td>18.00<\/td><td>25.00<\/td><td>18.00<\/td><td>25.00<\/td><td>Area 51<\/td><\/tr><tr><td>5.00<\/td><td>65.00<\/td><td>115.00<\/td><td>25.00<\/td><td>5.00<\/td><td>Chaos<\/td><\/tr><tr><td>0.00<\/td><td>0.00<\/td><td>0.00<\/td><td>0.00<\/td><td>0.00<\/td><td>\u010ciara<\/td><\/tr><tr><td>15.00<\/td><td>10.00<\/td><td>40.00<\/td><td>15.00<\/td><td>50.00<\/td><td>majka<\/td><\/tr><tr><td>20.00<\/td><td>20.00<\/td><td>60.00<\/td><td>10.00<\/td><td>30.00<\/td><td>majka2<\/td><\/tr><tr><td>50.00<\/td><td>10.00<\/td><td>90.00<\/td><td>10.00<\/td><td>70.00<\/td><td>majka3<\/td><\/tr><tr><td>10.00<\/td><td>0.00<\/td><td>10.00<\/td><td>40.00<\/td><td>20.00<\/td><td>Trs\u0165<\/td><\/tr><\/table>\n","protected":false},"excerpt":{"rendered":"<p>Ak\u00fd je rozdiel medzi geometriou a v\u00fdtvarn\u00fdm umen\u00edm? Zd\u00e1 sa, \u017ee ide o \u00faplne rozdielne svety, ale nie je to celkom pravda. V oboch pr\u00edpadoch tvor\u00edme obr\u00e1zky \/ obrazy. V \u0161kolskej geometrii pou\u017e\u00edvame presn\u00e9 postupy, pod\u013ea ktor\u00fdch dost\u00e1vame v\u017edy rovnak\u00e9 kon\u0161trukcie. Umelec m\u00e1 \u010dasto iba pribli\u017ene ur\u010den\u00e9, ako m\u00e1 v\u00fdsledn\u00fd obraz vyzera\u0165. Tu sa, naopak, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-303","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Strom n\u00e1hody - jankafialka<\/title>\n<meta name=\"description\" content=\"Strom n\u00e1hody je webov\u00e1 aplik\u00e1cia, na ktorej u\u017e\u00edvate\u013e zad\u00e1 parametre, na z\u00e1klade ktor\u00fdch sa vykresl\u00ed strom s prvkom n\u00e1hody.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.jankafialka.sk\/?page_id=303\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Strom n\u00e1hody - 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