{"id":1557,"date":"2020-07-17T04:58:54","date_gmt":"2020-07-17T02:58:54","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=1557"},"modified":"2024-07-28T17:34:17","modified_gmt":"2024-07-28T15:34:17","slug":"prisma-prismen","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=1557","title":{"rendered":"Prisma &#8211; Prismen"},"content":{"rendered":"\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Ein gerades&nbsp;<strong>Prisma<\/strong>&nbsp;ist ein K\u00f6rper mit mindestens zwei zueinander parallelen, kongruenten Vielecken als Grund- und Deckfl\u00e4che. Die Mantelfl\u00e4che besteht aus Rechtecken. Das bedeutet, auch der Quader und der W\u00fcrfel&nbsp;sind Prismen.<\/p>\n\n\n\n        <div class=\"modelViewerBlock\" data-attributes='{&quot;align&quot;:&quot;center&quot;,&quot;uniqueId&quot;:&quot;model8787&quot;,&quot;currentViewer&quot;:&quot;O3DViewer&quot;,&quot;multiple&quot;:false,&quot;O3DVSettings&quot;:{&quot;isFullscreen&quot;:true,&quot;isPagination&quot;:false,&quot;isNavigation&quot;:false,&quot;camera&quot;:null,&quot;mouseControl&quot;:true},&quot;environmentImage&quot;:null,&quot;lazyLoad&quot;:false,&quot;loading&quot;:&quot;auto&quot;,&quot;autoplay&quot;:false,&quot;shadow&quot;:&quot;1&quot;,&quot;autoRotate&quot;:false,&quot;zoomLevel&quot;:null,&quot;zoom&quot;:true,&quot;isPagination&quot;:false,&quot;isNavigation&quot;:false,&quot;hotspotStyle&quot;:&quot;style-1&quot;,&quot;preload&quot;:&quot;auto&quot;,&quot;rotationPerSecond&quot;:&quot;30&quot;,&quot;mouseControl&quot;:true,&quot;lockXAxisRotation&quot;:false,&quot;lockYAxisRotation&quot;:false,&quot;fullscreen&quot;:true,&quot;zoomInOutBtn&quot;:false,&quot;cameraBtn&quot;:false,&quot;variant&quot;:false,&quot;loadingPercentage&quot;:false,&quot;progressBar&quot;:true,&quot;rotate&quot;:false,&quot;rotateDelay&quot;:3000,&quot;rotateAlongX&quot;:&quot;0&quot;,&quot;rotateAlongY&quot;:&quot;75&quot;,&quot;exposure&quot;:&quot;1&quot;,&quot;stylesheet&quot;:null,&quot;additional&quot;:{&quot;ID&quot;:&quot;&quot;,&quot;Class&quot;:&quot;&quot;,&quot;CSS&quot;:null},&quot;animation&quot;:false,&quot;woo&quot;:false,&quot;selectedAnimation&quot;:&quot;&quot;,&quot;placement&quot;:&quot;shortcode&quot;,&quot;styles&quot;:{&quot;width&quot;:&quot;100%&quot;,&quot;height&quot;:&quot;320px&quot;,&quot;bgColor&quot;:&quot;#7c7c7c&quot;,&quot;progressBarColor&quot;:null},&quot;model&quot;:{&quot;modelUrl&quot;:&quot;https:\\\/\\\/mathe-lernen.net\\\/wp-content\\\/uploads\\\/2024\\\/07\\\/prismen.glb&quot;,&quot;poster&quot;:&quot;&quot;},&quot;models&quot;:[]}'>\n            <div class=\"bp3d_backup_view\" style=\"display: none;height:350px;\">\n                    <model-viewer camera-controls src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/07\/prismen.glb\" style=\"height: 350px;\"><\/model-viewer>\n            <\/div>\n            <script>\n                setTimeout(() => {\n                    let backupModels = document.querySelectorAll('.bp3d_backup_view');\n                    if(backupModels.length > 0){\n                        backupModels.forEach(element => {\n                            if(element){\n                                element.style.display = 'block';\n                                setTimeout(() => {\n                                    let adminMessages = document.querySelectorAll('.bp3d_admin_message');\n                                    if(adminMessages.length > 0){\n                                        adminMessages.forEach(adminMessage => {\n                                            if(adminMessage){\n                                                adminMessage.style.display = 'block';\n                                            }\n                                        });\n                                    }\n                                }, 5000);\n                            }\n                        });\n                    }\n                }, 5000);\n            <\/script>\n        <\/div>\n\n\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Prismen - Eigenschaften vom Prisma | Mathe einfach erkl\u00e4rt\" width=\"860\" height=\"645\" src=\"https:\/\/www.youtube.com\/embed\/cu6iAHVjGXw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<pre class=\"wp-block-preformatted\"><iframe loading=\"lazy\" scrolling=\"no\" title=\"Bewegliche Prismen mit unterschiedlichen Grundfl\u00e4chen\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/bJAhTQWy\/width\/1175\/height\/520\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"1175px\" height=\"350px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\nAutor:\n<a href=\"https:\/\/www.geogebra.org\/u\/melli.ortner\">Melanie C. Ortner<\/a><\/pre>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Die Prismen werden nach der Anzahl der Seiten ihrer Grundfl\u00e4chen benannt. <br>So hei\u00dfen sie also Dreiseitiges Prisma, 4-seitiges Prisma, 6-seitiges Prisma und so weiter. <\/p>\n\n\n\n<iframe loading=\"lazy\" scrolling=\"no\" title=\"Prisma_Netz\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/bgt6uwcg\/width\/800\/height\/900\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"800px\" height=\"900px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n\n\n\n<p class=\"has-white-color has-dark-gray-background-color has-text-color has-background\"><strong>Auch Namen, wie Seckseckprisma oder 6-eck-S\u00e4ule sind \u00fcblich.<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><iframe loading=\"lazy\" scrolling=\"no\" title=\"Von der Grundfl\u00e4che zum ganzen Prisma (V)\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/tH3BUNRK\/width\/1366\/height\/556\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"1066px\" height=\"356px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\nAutor:\n<a href=\"https:\/\/www.geogebra.org\/u\/melli.ortner\">Melanie C. Ortner<\/a><\/pre>\n\n\n\n<p class=\"has-background\" style=\"background-color:#dbf4ff\">Klick in die Zeichenfl\u00e4che!<br>Zeichne  mit dem Dreiecksymbol <img loading=\"lazy\" decoding=\"async\" width=\"55\" height=\"51\" class=\"wp-image-1558\" style=\"width: 55px;\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/07\/dreieck_geogebra1.jpg\" alt=\"\">eine beliebige Grundfl\u00e4che und erhebe (extrudiere) <img loading=\"lazy\" decoding=\"async\" width=\"55\" height=\"51\" class=\"wp-image-1559\" style=\"width: 55px;\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/07\/extrudieren_geogebra1.jpg\" alt=\"\">sie zum Prisma. <\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><iframe loading=\"lazy\" scrolling=\"no\" title=\"Kopie von Prismen zeichnen und Schr\u00e4gansicht\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/NeRhFQ8T\/width\/1031\/height\/551\/border\/888888\/sfsb\/true\/smb\/false\/stb\/true\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"1031px\" height=\"551px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\nAutor:\n<a href=\"https:\/\/www.geogebra.org\/u\/melli.ortner\">Melanie C. Ortner<\/a><\/code><\/pre>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_1557\" class=\"pvc_stats all  \" data-element-id=\"1557\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>Ein gerades&nbsp;Prisma&nbsp;ist ein K\u00f6rper mit mindestens zwei zueinander parallelen, kongruenten Vielecken als Grund- und Deckfl\u00e4che. Die Mantelfl\u00e4che besteht aus Rechtecken. Das bedeutet, auch der Quader und der W\u00fcrfel&nbsp;sind Prismen. Autor: Melanie C. Ortner Die Prismen werden nach der Anzahl der Seiten ihrer Grundfl\u00e4chen benannt. So hei\u00dfen sie also Dreiseitiges Prisma, 4-seitiges Prisma, 6-seitiges Prisma und so weiter. Auch Namen, wie<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_1557\" class=\"pvc_stats all  \" data-element-id=\"1557\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[138,959,991,999,43],"tags":[294,301],"class_list":["post-1557","post","type-post","status-publish","format-standard","hentry","category-geogebra","category-koerper","category-prisma","category-sonstige-prisma","category-prismen","tag-prisma","tag-arten"],"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1557"}],"version-history":[{"count":1,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1557\/revisions"}],"predecessor-version":[{"id":8792,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1557\/revisions\/8792"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}