{"id":6,"date":"2025-08-04T16:44:00","date_gmt":"2025-08-04T19:44:00","guid":{"rendered":"https:\/\/lvm.ufms.br\/?page_id=6"},"modified":"2026-08-08T08:14:59","modified_gmt":"2026-08-08T12:14:59","slug":"pagina-inicial","status":"publish","type":"page","link":"https:\/\/lvm.ufms.br\/en\/","title":{"rendered":"P\u00e1gina Inicial"},"content":{"rendered":"<p><!-- FAIXA DE ABERTURA (AZUL UFMS) --><\/p>\n<div style=\"background: #0088B7;color: #ffffff;padding: 30px 20px;margin-bottom: 30px\">\n<h1 style=\"margin: 0 0 10px 0;font-size: 2.2em\">\n    Laborat\u00f3rio Virtual de Matem\u00e1tica \u2013 LVM\/CPAQ<br \/>\n  <\/h1>\n<p style=\"margin: 0;font-size: 1.1em;max-width: 850px\">\n    Espa\u00e7o para explorar Matem\u00e1tica com softwares livres, anima\u00e7\u00f5es, experimentos computacionais<br \/>\n    e materiais did\u00e1ticos desenvolvidos no CPAQ\/UFMS.\n  <\/p>\n<\/div>\n<div id=\"metaslider-id-70\" style=\"width: 100%;\" class=\"ml-slider-3-98-0 metaslider metaslider-flex metaslider-70 ml-slider ml-slider-lightbox-1-13-4 lightbox-disabled ms-theme-databold has-dots-nav\" role=\"region\" aria-roledescription=\"Slideshow\" aria-label=\"Curvas Sim\u00e9tricas\" data-width=\"700\">\n    <div id=\"metaslider_container_70\">\n        <div id=\"metaslider_70\">\n            <ul class='slides'>\n                <li style=\"display: block; width: 100%;\" class=\"slide-76 ms-image \" aria-roledescription=\"slide\" aria-label=\"slide-76\" data-date=\"2025-12-11 11:50:28\"><a href=\"https:\/\/youtube.com\/shorts\/j0YP99LZyf0?feature=share\" target=\"_self\" aria-label=\"Padr\u00f5es Sim\u00e9tricos a partir de \u00d3rbitas Modulares (mod 367)\" class=\"metaslider_image_link\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/lvm.ufms.br\/files\/2025\/12\/output_700x300.png\" height=\"300\" width=\"700\" alt=\"\" class=\"slider-70 slide-76\" title=\"output_700x300\" \/><\/a><\/li>\n                <li style=\"display: none; width: 100%;\" class=\"slide-78 ms-image \" aria-roledescription=\"slide\" aria-label=\"slide-78\" data-date=\"2025-12-11 17:48:35\"><a href=\"https:\/\/youtube.com\/shorts\/YvlCpFbSgJc?feature=share\" target=\"_blank\" aria-label=\"Curvas a partir de Pot\u00eancias Modulares: uma visualiza\u00e7\u00e3o computacional\" class=\"metaslider_image_link\"><img decoding=\"async\" src=\"https:\/\/lvm.ufms.br\/files\/2025\/12\/final_700x300_clean.png\" height=\"300\" width=\"700\" alt=\"Curvas a partir de Pot\u00eancias Modulares: uma visualiza\u00e7\u00e3o computacional\" class=\"slider-70 slide-78\" title=\"Curvas a partir de Pot\u00eancias Modulares: uma visualiza\u00e7\u00e3o computacional\" \/><\/a><\/li>\n                <li style=\"display: none; width: 100%;\" class=\"slide-72 ms-image \" aria-roledescription=\"slide\" aria-label=\"slide-72\" data-date=\"2025-12-11 07:23:36\"><a href=\"https:\/\/colab.research.google.com\/drive\/11fHAdtjzXpYSMh0IeclvTx2GJaw7k0lk\" target=\"_blank\" aria-label=\"Curvas Sim\u00e9tricas: visualiza\u00e7\u00e3o geom\u00e9trica e modelos param\u00e9tricos\" class=\"metaslider_image_link\"><img decoding=\"async\" src=\"https:\/\/lvm.ufms.br\/files\/2025\/12\/imagem_700x300_com_bordas.png\" height=\"300\" width=\"700\" alt=\"\" class=\"slider-70 slide-72\" title=\"Curvas Sim\u00e9tricas: visualiza\u00e7\u00e3o geom\u00e9trica e modelos param\u00e9tricos\" \/><\/a><\/li>\n            <\/ul>\n        <\/div>\n        \n    <\/div>\n<\/div>\n<p><!-- BLOCO INTRODUT\u00d3RIO --><\/p>\n<div style=\"margin-bottom: 30px;max-width: 900px\">\n<h2 style=\"color: #2e4453;margin-bottom: 10px\">Sobre o LVM<\/h2>\n<p>\n    O Laborat\u00f3rio Virtual de Matem\u00e1tica (LVM) re\u00fane materiais digitais, anima\u00e7\u00f5es,<br \/>\n    notebooks e ferramentas interativas voltadas ao ensino, pesquisa e extens\u00e3o.<br \/>\n    O objetivo \u00e9 apresentar a Matem\u00e1tica por meio de experimenta\u00e7\u00e3o, visualiza\u00e7\u00e3o e tecnologias abertas.\n  <\/p>\n<\/div>\n<p><!-- TR\u00caS COLUNAS \u2013 ESTILO INSTITUCIONAL --><\/p>\n<div style=\"flex-wrap: wrap;gap: 20px;margin-bottom: 30px;max-width: 900px\">\n<p>  <!-- ENSINO SUPERIOR --><\/p>\n<div style=\"flex: 1 1 260px;background: #F3F6F8;border-left: 4px solid #2E4453;padding: 15px;border-radius: 4px\">\n<h3 style=\"margin-top: 0;color: #2e4453\">Ensino Superior<\/h3>\n<ul style=\"padding-left: 20px;margin: 0\">\n<li>Curvas e superf\u00edcies sim\u00e9tricas;<\/li>\n<li>Visualiza\u00e7\u00e3o de fun\u00e7\u00f5es complexas;<\/li>\n<li>Criptografia com curvas.<\/li>\n<\/ul><\/div>\n<p>  <!-- EDUCA\u00c7\u00c3O B\u00c1SICA --><\/p>\n<div style=\"flex: 1 1 260px;background: #F3F6F8;border-left: 4px solid #2E4453;padding: 15px;border-radius: 4px\">\n<h3 style=\"margin-top: 0;color: #2e4453\">Educa\u00e7\u00e3o B\u00e1sica<\/h3>\n<ul style=\"padding-left: 20px;margin: 0\">\n<li>Atividades da OBMEP;<\/li>\n<li>Desafios de geometria e n\u00fameros;<\/li>\n<li>Sequ\u00eancias did\u00e1ticas com tecnologia;<\/li>\n<li>Materiais para professores.<\/li>\n<\/ul><\/div>\n<p>  <!-- PROJETOS --><\/p>\n<div style=\"flex: 1 1 260px;background: #F3F6F8;border-left: 4px solid #2E4453;padding: 15px;border-radius: 4px\">\n<h3 style=\"margin-top: 0;color: #2e4453\">Projetos e Extens\u00e3o<\/h3>\n<ul style=\"padding-left: 20px;margin: 0\">\n<li>Minicursos e oficinas;<\/li>\n<li>Produ\u00e7\u00f5es audiovisuais e apresenta\u00e7\u00f5es.<\/li>\n<\/ul><\/div>\n<\/div>\n<p><!-- MATERIAIS INTERATIVOS (CARD) --><\/p>\n<div style=\"margin-bottom: 30px;max-width: 900px;background:#F8FBFD;border:1px solid #D9E1E7;padding:20px;border-radius:4px\">\n<h2 style=\"color: #2e4453;margin-bottom: 10px\">Materiais Interativos<\/h2>\n<p style=\"margin-top:0\">\n    Abaixo voc\u00ea encontra exemplos de conte\u00fados digitais que ser\u00e3o incorporados ao laborat\u00f3rio,<br \/>\n    combinando visualiza\u00e7\u00e3o geom\u00e9trica, aritm\u00e9tica modular e experimenta\u00e7\u00e3o computacional.\n  <\/p>\n<p>  <!-- APPLET PROJE\u00c7\u00c3O ESTEREOGR\u00c1FICA --><\/p>\n<h3 style=\"color: #2e4453;margin-top: 20px\">Proje\u00e7\u00e3o Estereogr\u00e1fica da Espiral<\/h3>\n<p style=\"max-width: 850px\">\n    Este applet mostra a proje\u00e7\u00e3o estereogr\u00e1fica de uma curva espiral no espa\u00e7o sobre a esfera.<br \/>\n    As barras deslizantes \u00e0 esquerda permitem:\n  <\/p>\n<ul style=\"max-width: 850px;padding-left: 20px;margin-top: 0\">\n<li><strong>a<\/strong> e <strong>b<\/strong>: ajustam a abertura e a \u201cdensidade\u201d da espiral logar\u00edtmica no plano;<\/li>\n<li><strong>Xc<\/strong> e <strong>Yc<\/strong>: deslocam o ponto inicial da espiral no plano;<\/li>\n<li><strong>s<\/strong>: controla o comprimento da espiral (intervalo de parametriza\u00e7\u00e3o).<\/li>\n<\/ul>\n<p style=\"max-width: 850px\">\n    Experimente mover os deslizadores e observar como a espiral no plano e a curva sobre a esfera<br \/>\n    se modificam simultaneamente.\n  <\/p>\n<iframe src='https:\/\/www.geogebra.org\/material\/iframe\/id\/kxmjghvn' width='100%' height='500' style='border:0;' allowfullscreen><\/iframe>\n<p>  <!-- SE\u00c7\u00c3O DO NOTEBOOK INTERATIVO --><\/p>\n<h3 style=\"color:#2e4453;margin-top:30px;margin-bottom:10px\">\n    Notebook interativo: \u00f3rbitas multiplicativas e simetria modular<br \/>\n  <\/h3>\n<p style=\"max-width:850px\">\n    Este notebook no Google Colab permite explorar a \u00f3rbita das pot\u00eancias de um elemento<br \/>\n    m\u00f3dulo <em>p<\/em>, verificar se um n\u00famero \u00e9 raiz primitiva e visualizar a constru\u00e7\u00e3o<br \/>\n    geom\u00e9trica com cordas sobre o pol\u00edgono regular associado.\n  <\/p>\n<p style=\"max-width:850px\">\n    Acesse o notebook em:<br \/>\n    <br \/>\n    <a href=\"https:\/\/colab.research.google.com\/drive\/1oAQU6Z1quy2QNDeqp6yUBtCHz7i44MXv?usp=sharing\" target=\"_blank\" style=\"color:#0088B7;font-weight:600;text-decoration:underline\"><br \/>\n      Abrir notebook no Google Colab<br \/>\n    <\/a><br \/>\n    <span style=\"font-size:0.85em;color:#555\"><br \/>\n      (o link ser\u00e1 aberto em uma nova aba do navegador)<br \/>\n    <\/span>\n  <\/p>\n<\/div>\n<p><!-- M\u00d3DULOS DO LVM --><\/p>\n<div style=\"margin-bottom: 30px;max-width: 900px\">\n<h2 style=\"color: #2e4453;margin-bottom: 10px\">Acesse as Se\u00e7\u00f5es do LVM<\/h2>\n<ul style=\"padding-left: 20px\">\n<li><a style=\"color: #0088B7\" href=\"#\">Curvas e superf\u00edcies sim\u00e9tricas<\/a><\/li>\n<li><a style=\"color: #0088B7\" href=\"#\">Criptografia e aritm\u00e9tica modular<\/a><\/li>\n<li><a style=\"color: #0088B7\" href=\"#\">Fun\u00e7\u00f5es complexas e visualiza\u00e7\u00e3o<\/a><\/li>\n<li><a style=\"color: #0088B7\" href=\"#\">OBMEP e matem\u00e1tica ol\u00edmpica<\/a><\/li>\n<li><a style=\"color: #0088B7\" href=\"#\">Educa\u00e7\u00e3o b\u00e1sica<\/a><\/li>\n<\/ul>\n<\/div>\n<p><!-- RODAP\u00c9 SIMPLES --><\/p>\n<div style=\"margin-top: 20px;padding-top: 10px;border-top: 1px solid #D9E1E7;color: #2e4453;font-size: 0.9em;max-width: 900px\">\n  Laborat\u00f3rio Virtual de Matem\u00e1tica \u2013 LVM\/CPAQ \u2022 Universidade Federal de Mato Grosso do Sul\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Laborat\u00f3rio Virtual de Matem\u00e1tica \u2013 LVM\/CPAQ Espa\u00e7o para explorar Matem\u00e1tica com softwares livres, anima\u00e7\u00f5es, experimentos computacionais e materiais did\u00e1ticos desenvolvidos no CPAQ\/UFMS. Sobre o LVM O Laborat\u00f3rio Virtual de Matem\u00e1tica (LVM) re\u00fane materiais digitais, anima\u00e7\u00f5es, notebooks e ferramentas interativas voltadas ao ensino, pesquisa e extens\u00e3o. O objetivo \u00e9 apresentar a Matem\u00e1tica por meio de experimenta\u00e7\u00e3o, [&hellip;]<\/p>\n","protected":false},"author":38499,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/page-home.php","meta":{"footnotes":""},"coauthors":[4],"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/users\/38499"}],"replies":[{"embeddable":true,"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":18,"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":74,"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/pages\/6\/revisions\/74"}],"wp:attachment":[{"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"author","embeddable":true,"href":"https:\/\/lvm.ufms.br\/en\/wp-json\/wp\/v2\/coauthors?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}