{"id":1070,"date":"2020-01-24T07:12:39","date_gmt":"2020-01-24T07:12:39","guid":{"rendered":"https:\/\/geometriedidaktik.at\/?page_id=1070"},"modified":"2020-01-24T07:20:36","modified_gmt":"2020-01-24T07:20:36","slug":"kepler-poinsot-stars","status":"publish","type":"page","link":"https:\/\/geometriedidaktik.at\/en\/galleries\/kepler-poinsot-stars\/","title":{"rendered":"Kepler-Poinsot-Polyhedron"},"content":{"rendered":"\n<p>The four Kepler Poinsot Polyhedron: great dodecahedron, great icosahedron, small stellated dodecahedron and great stellated dodecahedron.<br>The Kepler Poinsot Stars are non-convex polyhedra. <\/p>\n\n\n\n<p>Reference: Abhandlungen \u00fcber die regelm\u00e4\u00dfigen Sternk\u00f6rper, Oswald\u2019s  Klassiker der exakten Wissenschaften Nr. 151 , Robert Hau\u00dfner mit  Beitr\u00e4gen von Poinsot (1809), Cauchy (1811), Betrand (1858) und Cayley  (1859) <\/p>\n\n\n\n<div id=\"grid-gallery-4-20854\" data-gg-id=\"4\" data-title=\"Die vier Kepler-Poinsot-Sterne\" data-grid-type=\"2\" data-offset=\"5.3\" data-area-position=\"center\" data-icons=\"\" data-preloader=\"true\" data-width=\"auto\" data-height=\"215\" data-padding=\"0\" data-quicksand=\"disabled\" data-quicksand-duration=\"none\" data-popup-theme=\"theme_6\" data-popup-type=\"pretty-photo\" data-popup-image-text=\"data-description\" data-popup-widthsize=\"auto\" data-popup-heightsize=\"auto\" data-popup-i18n-words=\"{&quot;close&quot;:&quot;close&quot;,&quot;next&quot;:&quot;next&quot;,&quot;previous&quot;:&quot;previous&quot;,&quot;start_slideshow&quot;:&quot;start slideshow&quot;,&quot;stop_slideshow&quot;:&quot;stop slideshow&quot;,&quot;image&quot;:&quot;image&quot;,&quot;of&quot;:&quot;of&quot;,&quot;prev&quot;:&quot;prev&quot;,&quot;cExpand&quot;:&quot;Expand&quot;,&quot;cPrevious&quot;:&quot;Previous&quot;,&quot;cNext&quot;:&quot;Next&quot;,&quot;cExpandStr&quot;:&quot;Expand the image&quot;,&quot;cRotate&quot;:&quot;Rotate&quot;,&quot;cDetails&quot;:&quot;Details&quot;}\" data-popup-slideshow=\"false\" data-popup-slideshow-speed=\"2500\" data-popup-hoverstop=\"true\" data-popup-slideshow-auto=\"false\" data-popup-background=\"\" data-popup-transparency=\"30\" data-popup-disable-history=\"\" data-popup-disable-changed-url=\"\" data-popup-border-type=\"solid\" data-popup-border-color=\"\" data-popup-border-width=\"\" data-popup-border-enable=\"\" data-fullscreen=\"false\" data-hide-tooltip=\"false\" data-caption-font-family=\"Default\" data-caption-text-size=\"140\" data-is-mobile=\"0\" data-caption-mobile=\"false\" data-hide-long-tltp-title=\"0\" data-caption-disabled-on-mobile=\"false\" data-popup-placement-type=\"0\" data-social-sharing=\"{&quot;enabled&quot;:&quot;&quot;,&quot;gallerySharing&quot;:{&quot;enabled&quot;:null,&quot;position&quot;:null},&quot;imageSharing&quot;:{&quot;enabled&quot;:null,&quot;wrapperClass&quot;:&quot; vertical &quot;},&quot;popupSharing&quot;:{&quot;enabled&quot;:null,&quot;wrapperClass&quot;:&quot; vertical &quot;}}\" class=\"grid-gallery grid-gallery-fixed \" style=\" width:100%; height:auto; margin-left:auto; margin-right:auto;position:relative;\"> <div class=\"gallery-loading\"> <div class=\"blocks\"> <div class=\"block\"><\/div> <div class=\"block\"><\/div> <div class=\"block\"><\/div> <div class=\"block\"><\/div> <\/div> <\/div> <div class=\"gallery-sharing-top\" style=\"display:none;\"> <\/div> <div id=\"photos-4\" class=\"grid-gallery-photos\"><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"0\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/alle-vier-eher-von-vorne-15hell-scaled-618x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"alle-vier-eher-von-vorne-15hell\" title=\"alle-vier-eher-von-vorne-15hell\" data-description=\"alle-vier-eher-von-vorne-15hell\" data-caption=\"alle-vier-eher-von-vorne-15hell\" data-title=\"alle-vier-eher-von-vorne-15hell\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"1\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/alle-vier-eher-von-vorne-15hell-etched-2-scaled-618x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"alle-vier-eher-von-vorne-15hell-etched-2\" title=\"alle-vier-eher-von-vorne-15hell-etched-2\" data-description=\"alle-vier-eher-von-vorne-15hell-etched-2\" data-caption=\"alle-vier-eher-von-vorne-15hell-etched-2\" data-title=\"alle-vier-eher-von-vorne-15hell-etched-2\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"2\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-scaled-573x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" title=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" data-description=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" data-caption=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" data-title=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"3\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-und-verbindungen-scaled-573x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-und-verbindungen\" title=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-und-verbindungen\" data-description=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-und-verbindungen\" data-caption=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-und-verbindungen\" data-title=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-und-verbindungen\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"4\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/dodekaederstern-12hell-orange-scaled-208x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"dodekaederstern-12hell-orange\" title=\"dodekaederstern-12hell-orange\" data-description=\"dodekaederstern-12hell-orange\" data-caption=\"dodekaederstern-12hell-orange\" data-title=\"dodekaederstern-12hell-orange\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"5\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/dodekaederstern-15hell-mit-bsp-polygon-scaled-207x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"dodekaederstern-15hell-mit-bsp-polygon\" title=\"dodekaederstern-15hell-mit-bsp-polygon\" data-description=\"dodekaederstern-15hell-mit-bsp-polygon\" data-caption=\"dodekaederstern-15hell-mit-bsp-polygon\" data-title=\"dodekaederstern-15hell-mit-bsp-polygon\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"6\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/dodekaederstern-20hell-mit-bsp-polygon-mit-rand-scaled-207x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"dodekaederstern-20hell-mit-bsp-polygon-mit-rand\" title=\"dodekaederstern-20hell-mit-bsp-polygon-mit-rand\" data-description=\"dodekaederstern-20hell-mit-bsp-polygon-mit-rand\" data-caption=\"dodekaederstern-20hell-mit-bsp-polygon-mit-rand\" data-title=\"dodekaederstern-20hell-mit-bsp-polygon-mit-rand\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"7\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/dodekaederstern-nur-stern-undurchsichtig-scaled-228x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"dodekaederstern-nur-stern-undurchsichtig\" title=\"dodekaederstern-nur-stern-undurchsichtig\" data-description=\"dodekaederstern-nur-stern-undurchsichtig\" data-caption=\"dodekaederstern-nur-stern-undurchsichtig\" data-title=\"dodekaederstern-nur-stern-undurchsichtig\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"8\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/dodekaederstern-v3-10helligkeit-undurchsichtig-scaled-228x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"dodekaederstern-v3-10helligkeit-undurchsichtig\" title=\"dodekaederstern-v3-10helligkeit-undurchsichtig\" data-description=\"dodekaederstern-v3-10helligkeit-undurchsichtig\" data-caption=\"dodekaederstern-v3-10helligkeit-undurchsichtig\" data-title=\"dodekaederstern-v3-10helligkeit-undurchsichtig\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"9\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-ikosaederstern-1-orange-scaled-200x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-ikosaederstern-1-orange\" title=\"grosser-ikosaederstern-1-orange\" data-description=\"grosser-ikosaederstern-1-orange\" data-caption=\"grosser-ikosaederstern-1-orange\" data-title=\"grosser-ikosaederstern-1-orange\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"10\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-ikosaederstern-1-weiss-15hell-scaled-200x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-ikosaederstern-1-weiss-15hell\" title=\"grosser-ikosaederstern-1-weiss-15hell\" data-description=\"grosser-ikosaederstern-1-weiss-15hell\" data-caption=\"grosser-ikosaederstern-1-weiss-15hell\" data-title=\"grosser-ikosaederstern-1-weiss-15hell\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"11\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-ikosaederstern-1-weiss-mit-rand-15hell-mit-boden-scaled-209x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-ikosaederstern-1-weiss-mit-rand-15hell-mit-boden\" title=\"grosser-ikosaederstern-1-weiss-mit-rand-15hell-mit-boden\" data-description=\"grosser-ikosaederstern-1-weiss-mit-rand-15hell-mit-boden\" data-caption=\"grosser-ikosaederstern-1-weiss-mit-rand-15hell-mit-boden\" data-title=\"grosser-ikosaederstern-1-weiss-mit-rand-15hell-mit-boden\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"12\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-scaled-196x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon\" title=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon\" data-description=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon\" data-caption=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon\" data-title=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"13\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-mit-rand-scaled-196x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-mit-rand\" title=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-mit-rand\" data-description=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-mit-rand\" data-caption=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-mit-rand\" data-title=\"grosser-ikosaederstern-weiss-15hell-mit-bsp-polygon-mit-rand\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"14\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-oktaeder-1-15hell-glass-mit-rand-scaled-210x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-oktaeder-1-15hell-glass-mit-rand\" title=\"grosser-oktaeder-1-15hell-glass-mit-rand\" data-description=\"grosser-oktaeder-1-15hell-glass-mit-rand\" data-caption=\"grosser-oktaeder-1-15hell-glass-mit-rand\" data-title=\"grosser-oktaeder-1-15hell-glass-mit-rand\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"15\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-oktaeder-1-orange-15hell-scaled-210x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-oktaeder-1-orange-15hell\" title=\"grosser-oktaeder-1-orange-15hell\" data-description=\"grosser-oktaeder-1-orange-15hell\" data-caption=\"grosser-oktaeder-1-orange-15hell\" data-title=\"grosser-oktaeder-1-orange-15hell\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"16\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-oktaeder-15hell-mit-rand-bsp-polygon-scaled-204x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-oktaeder-15hell-mit-rand-bsp-polygon\" title=\"grosser-oktaeder-15hell-mit-rand-bsp-polygon\" data-description=\"grosser-oktaeder-15hell-mit-rand-bsp-polygon\" data-caption=\"grosser-oktaeder-15hell-mit-rand-bsp-polygon\" data-title=\"grosser-oktaeder-15hell-mit-rand-bsp-polygon\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"17\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/grosser-oktaeder-15hell-ohne-rand-bsp-polygon-scaled-204x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"grosser-oktaeder-15hell-ohne-rand-bsp-polygon\" title=\"grosser-oktaeder-15hell-ohne-rand-bsp-polygon\" data-description=\"grosser-oktaeder-15hell-ohne-rand-bsp-polygon\" data-caption=\"grosser-oktaeder-15hell-ohne-rand-bsp-polygon\" data-title=\"grosser-oktaeder-15hell-ohne-rand-bsp-polygon\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"18\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/ikosaederstern-15-hell-160undurchsichtig-effizienz-scaled-211x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"ikosaederstern-15-hell-160undurchsichtig-effizienz\" title=\"ikosaederstern-15-hell-160undurchsichtig-effizienz\" data-description=\"ikosaederstern-15-hell-160undurchsichtig-effizienz\" data-caption=\"ikosaederstern-15-hell-160undurchsichtig-effizienz\" data-title=\"ikosaederstern-15-hell-160undurchsichtig-effizienz\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"19\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/ikosaederstern-15hell-mit-bsp-polygon-scaled-225x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"ikosaederstern-15hell-mit-bsp-polygon\" title=\"ikosaederstern-15hell-mit-bsp-polygon\" data-description=\"ikosaederstern-15hell-mit-bsp-polygon\" data-caption=\"ikosaederstern-15hell-mit-bsp-polygon\" data-title=\"ikosaederstern-15hell-mit-bsp-polygon\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"20\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/ikosaederstern-15hell-mit-bsp-polygon-mit-rand-scaled-225x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"ikosaederstern-15hell-mit-bsp-polygon-mit-rand\" title=\"ikosaederstern-15hell-mit-bsp-polygon-mit-rand\" data-description=\"ikosaederstern-15hell-mit-bsp-polygon-mit-rand\" data-caption=\"ikosaederstern-15hell-mit-bsp-polygon-mit-rand\" data-title=\"ikosaederstern-15hell-mit-bsp-polygon-mit-rand\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"21\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/ikosaederstern-15hell-orange-scaled-227x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"ikosaederstern-15hell-orange\" title=\"ikosaederstern-15hell-orange\" data-description=\"ikosaederstern-15hell-orange\" data-caption=\"ikosaederstern-15hell-orange\" data-title=\"ikosaederstern-15hell-orange\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"22\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2019\/11\/alle-vier-eher-von-vorne-15hell-scaled-618x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"alle-vier-eher-von-vorne-15hell\" title=\"alle-vier-eher-von-vorne-15hell\" data-description=\"alle-vier-eher-von-vorne-15hell\" data-caption=\"alle-vier-eher-von-vorne-15hell\" data-title=\"alle-vier-eher-von-vorne-15hell\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"23\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2019\/12\/alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen-scaled-573x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" title=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" data-description=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" data-caption=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" data-title=\"alle-vier-eher-von-vorne-20hell-mit-Bsp-Polygonen\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE><FIGURE class=\"grid-gallery-caption\" data-grid-gallery-type=\"quarter-two-step\" data-index=\"24\" style=\"display:none;border-radius:200;; margin:2.65px; height:2150; width:auto;\" ><div class=\"crop\" style=\"\"><img decoding=\"async\" src=\"https:\/\/geometriedidaktik.at\/wp-content\/uploads\/2020\/01\/ikosaederstern-v2-hell-15-scaled-200x215.jpg\" class=\"ggImg ggNotInitImg\" alt=\"ikosaederstern-v2-hell-15\" title=\"ikosaederstern-v2-hell-15\" data-description=\"ikosaederstern-v2-hell-15\" data-caption=\"ikosaederstern-v2-hell-15\" data-title=\"ikosaederstern-v2-hell-15\" style=\" height:215px; width:auto;\" \/><\/div><FIGCAPTION class=\"\" data-alpha=\"5\" style=\"color:#ffffff; background-color:#0c0000; font-size:140; text-align:left; font-family:Default;\" ><div class=\"grid-gallery-figcaption-wrap\" style=\"\"><\/div><\/FIGCAPTION><\/FIGURE> <div class=\"grid-gallery-clearfix\"><\/div> <\/div> <div class=\"gallery-sharing-bottom\" style=\"display:none;\"> <\/div> <div class=\"gallery-sharing-image\" style=\"display:none;\"> <\/div> <div class=\"gallery-sharing-popup\" style=\"display:none;\"> <\/div> <div class=\"grid-gallery-clearfix\"><\/div> <\/div> <!-- Gallery by Supsystic plugin1.16.1 --><a title=\"WordPress Gallery Plugin\" style=\"display:none;\" href=\"https:\/\/supsystic.com\/plugins\/photo-gallery\/?utm_medium=love_link\" target=\"_blank\">WordPress Gallery Plugin<\/a>\n","protected":false},"excerpt":{"rendered":"<p>The four Kepler Poinsot Polyhedron: great dodecahedron, great icosahedron, small stellated dodecahedron and great stellated dodecahedron.The Kepler Poinsot Stars are non-convex polyhedra. Reference: Abhandlungen \u00fcber die regelm\u00e4\u00dfigen Sternk\u00f6rper, Oswald\u2019s Klassiker der exakten Wissenschaften Nr. 151 , Robert Hau\u00dfner mit Beitr\u00e4gen von Poinsot (1809), Cauchy (1811), Betrand (1858) und Cayley (1859)<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1051,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1070","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/pages\/1070","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/comments?post=1070"}],"version-history":[{"count":6,"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/pages\/1070\/revisions"}],"predecessor-version":[{"id":1077,"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/pages\/1070\/revisions\/1077"}],"up":[{"embeddable":true,"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/pages\/1051"}],"wp:attachment":[{"href":"https:\/\/geometriedidaktik.at\/en\/wp-json\/wp\/v2\/media?parent=1070"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}