{"id":5412,"date":"2024-11-22T14:35:49","date_gmt":"2024-11-22T20:35:49","guid":{"rendered":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/?page_id=5412"},"modified":"2024-11-22T14:35:49","modified_gmt":"2024-11-22T20:35:49","slug":"lecm24","status":"publish","type":"page","link":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/l-m\/lecm24\/","title":{"rendered":"lecm24 Gr\u00e1ficos 3D"},"content":{"rendered":"\n<p><strong>Gr\u00e1ficos tridimensionales<\/strong><\/p>\n\n\n\n<h2 class=\"has-medium-pink-color has-text-color\">Gr\u00e1ficos de l\u00ednea. <\/h2>\n\n\n\n<p>Se utiliza plot3(x, y, z, \u2019tipo linea\u2019, \u2018propiedades\u2019,\u2019valores\u2019). Por ejemplo: <\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">t=0:.1:10;\nx=sin(t);\ny=cos(t);\nz=0.5*t; \nplot3(x,y,z)<\/pre>\n\n\n\n<p>La figura resultante es<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"433\" height=\"292\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-58.png\" alt=\"\" class=\"wp-image-5499\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-58.png 433w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-58-300x202.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/figure><\/div>\n\n\n<h2 class=\"has-medium-pink-color has-text-color\">Gr\u00e1ficos de malla y de superficie. <\/h2>\n\n\n\n<p>Tienen la forma z = f(x,y), se crea a partir de la rejilla [X,Y] = meshgrid(x,y) donde x y y son vectores x=-1:3, y=1:5. <\/p>\n\n\n\n<p>La grafica de malla se obtiene con el comando mesh(x,y,z) donde z es la funci\u00f3n. Por ejemplo <\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">clear;clc;\nx=-5:5;\ny=-5:5;\n[x,y]=meshgrid(x,y);\nz=x.^2+y.^2-5;\nmesh(x,y,z)<\/pre>\n\n\n\n<p>El resultado es<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"588\" height=\"440\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-59.png\" alt=\"\" class=\"wp-image-5500\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-59.png 588w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-59-300x224.png 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><figcaption class=\"wp-element-caption\">malla  mesh(x,y,z)<\/figcaption><\/figure><\/div>\n\n\n<p>Para la superficie se utiliza surf(x,y,z). <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"549\" height=\"398\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-60.png\" alt=\"\" class=\"wp-image-5501\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-60.png 549w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-60-300x217.png 300w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><figcaption class=\"wp-element-caption\">superficie   surf(x,y,z)<\/figcaption><\/figure><\/div>\n\n\n<p>Otras gr\u00e1ficas:<\/p>\n\n\n\n<p>meshz(x,y,z)&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp; Malla con cortina alrededor de la malla.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"554\" height=\"392\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-61.png\" alt=\"\" class=\"wp-image-5502\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-61.png 554w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-61-300x212.png 300w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/figure>\n\n\n\n<p>meshc(x,y,z)&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Malla con contorno<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"548\" height=\"402\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-62.png\" alt=\"\" class=\"wp-image-5503\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-62.png 548w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-62-300x220.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><\/figure>\n\n\n\n<p>surfc(x,y,z)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Superficie con contorno<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"556\" height=\"403\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-63.png\" alt=\"\" class=\"wp-image-5504\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-63.png 556w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-63-300x217.png 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/figure>\n\n\n\n<p>surfl(x,y,z)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Superficie con alumbrado<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"550\" height=\"404\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-64.png\" alt=\"\" class=\"wp-image-5505\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-64.png 550w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-64-300x220.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/figure>\n\n\n\n<p>waterfall(x,y,z)&nbsp; &nbsp; &nbsp; Gr\u00e1fico de cascada<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"555\" height=\"394\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-65.png\" alt=\"\" class=\"wp-image-5506\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-65.png 555w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-65-300x213.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/figure><\/div>\n\n\n<p>contour3(x,y,z,10)&nbsp; contorno 3-D con niveles<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"577\" height=\"416\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-66.png\" alt=\"\" class=\"wp-image-5507\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-66.png 577w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-66-300x216.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/figure><\/div>\n\n\n<p>contour(x,y,z)&nbsp; &nbsp;&nbsp;&nbsp; contorno 2-D<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"529\" height=\"423\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-67.png\" alt=\"\" class=\"wp-image-5508\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-67.png 529w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/imagen-67-300x240.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/figure><\/div>\n\n\n<h2 class=\"has-medium-pink-color has-text-color\">Gr\u00e1ficos especiales.<\/h2>\n\n\n\n<p>sphere(n)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;n n\u00famero de secciones<\/p>\n\n\n\n<p>cylinder(r )&nbsp; &nbsp; &nbsp; &nbsp;cilindro<\/p>\n\n\n\n<p>bar3(y)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;barras<\/p>\n\n\n\n<p>stem3(x,y,z)&nbsp;&nbsp;&nbsp;&nbsp; tallo<\/p>\n\n\n\n<p>scater3(x,y,z)&nbsp; dispersi\u00f3n<\/p>\n\n\n\n<p>pie3(x,explode)&nbsp; pastel 3D,&nbsp; explode 1 indica separaci\u00f3n y 0 junto.<\/p>\n\n\n\n<figure class=\"is-layout-flex wp-block-gallery-1 wp-block-gallery has-nested-images columns-default is-cropped\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"567\" height=\"403\" data-id=\"5511\"  src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp1.png\" alt=\"\" class=\"wp-image-5511\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp1.png 567w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp1-300x213.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><figcaption class=\"wp-element-caption\">esfera<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"574\" height=\"393\" data-id=\"5513\"  src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp2.png\" alt=\"\" class=\"wp-image-5513\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp2.png 574w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp2-300x205.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><figcaption class=\"wp-element-caption\">cilindro<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"368\" height=\"390\" data-id=\"5514\"  src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp3.png\" alt=\"\" class=\"wp-image-5514\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp3.png 368w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp3-283x300.png 283w\" sizes=\"(max-width: 368px) 100vw, 368px\" \/><figcaption class=\"wp-element-caption\">barra 3D<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"555\" height=\"407\" data-id=\"5515\"  src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp4.png\" alt=\"\" class=\"wp-image-5515\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp4.png 555w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp4-300x220.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><figcaption class=\"wp-element-caption\">Tallo<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"563\" height=\"408\" data-id=\"5516\"  src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp5.png\" alt=\"\" class=\"wp-image-5516\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp5.png 563w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp5-300x217.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><figcaption class=\"wp-element-caption\">Dispersi\u00f3n<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"490\" height=\"287\" data-id=\"5517\"  src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp6.png\" alt=\"\" class=\"wp-image-5517\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp6.png 490w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/08\/gsp6-300x176.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><figcaption class=\"wp-element-caption\">pastel<\/figcaption><\/figure>\n<\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Comando&nbsp;<strong>view<\/strong>. Controla la direcci\u00f3n desde donde se ver\u00e1 el gr\u00e1fico generado. view(az,el) o view([az, el]) donde az es un \u00e1ngulo en grados y marca azimut, y el da la elevaci\u00f3n de visi\u00f3n. Por defecto son az=-37.5\u00b0 y el = 30\u00b0. Escogiendo el azimut y la elevaci\u00f3n apropiados se dibujan varios planos.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Plano de proyecci\u00f3n<\/td><td>valor az<\/td><td>valor el<\/td><\/tr><tr><td>x-y vista a\u00e9rea<\/td><td>0<\/td><td>90<\/td><\/tr><tr><td>x-z vista lateral<\/td><td>0<\/td><td>0<\/td><\/tr><tr><td>y-z vista lateral<\/td><td>90<\/td><td>0&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"is-content-justification-center is-layout-flex wp-container-3 wp-block-buttons\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/l-m\/\">Lecciones<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-yellow-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/lecm25\/\">siguiente lecci\u00f3n<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Gr\u00e1ficos tridimensionales Gr\u00e1ficos de l\u00ednea. Se utiliza plot3(x, y, z, \u2019tipo linea\u2019, \u2018propiedades\u2019,\u2019valores\u2019). Por ejemplo: t=0:.1:10; x=sin(t); y=cos(t); z=0.5*t; plot3(x,y,z) La figura resultante es Gr\u00e1ficos de malla y de superficie. Tienen la forma z = f(x,y), se crea a partir de la rejilla [X,Y] = meshgrid(x,y) donde x y y son vectores x=-1:3, y=1:5. La &hellip; <a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/l-m\/lecm24\/\" class=\"more-link\">Contin\u00faa leyendo <span class=\"screen-reader-text\">lecm24 Gr\u00e1ficos 3D<\/span><\/a><\/p>\n","protected":false},"author":123458,"featured_media":0,"parent":5258,"menu_order":24,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"_links":{"self":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5412"}],"collection":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/users\/123458"}],"replies":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/comments?post=5412"}],"version-history":[{"count":6,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5412\/revisions"}],"predecessor-version":[{"id":5566,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5412\/revisions\/5566"}],"up":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/5258"}],"wp:attachment":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/media?parent=5412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}