{"id":20409,"date":"2024-08-25T01:01:37","date_gmt":"2024-08-25T01:01:37","guid":{"rendered":"https:\/\/www.eastrovedica.com\/wordpress\/?p=20409"},"modified":"2024-08-25T01:15:48","modified_gmt":"2024-08-25T01:15:48","slug":"20409","status":"publish","type":"post","link":"https:\/\/www.eastrovedica.com\/wordpress\/?p=20409","title":{"rendered":""},"content":{"rendered":"\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/Geometry.html\">Geometry<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/PlaneGeometry.html\">Plane Geometry<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/Polygons.html\">Polygons<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/HistoryandTerminology.html\">History and Terminology<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/DisciplinaryTerminology.html\">Disciplinary Terminology<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/ReligiousTerminology.html\">Religious Terminology<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/RecreationalMathematics.html\">Recreational Mathematics<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/MathematicsintheArts.html\">Mathematics in the Arts<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/MathematicsinFilms.html\">Mathematics in Films<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/TheReturnofthePinkPanther1977.html\">The Return of the Pink Panther (1977)<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<h1 class=\"wp-block-heading\">Star of Lakshmi<\/h1>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><a href=\"https:\/\/mathworld.wolfram.com\/notebooks\/Polygons\/StarofLakshmi.nb\">Download&nbsp;Wolfram&nbsp;Notebook<\/a><\/p>\n\n\n\n<p><img decoding=\"async\" width=\"161.67\" height=\"158.5\" src=\"https:\/\/mathworld.wolfram.com\/images\/eps-svg\/StarofLakshmi_1000.svg\" alt=\"StarofLakshmi\"><\/p>\n\n\n\n<p>The Star of Lakshmi is the&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/StarFigure.html\">star figure<\/a>&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline1.svg\" width=\"41\" height=\"21\" alt=\"{8\/2}\">, that is used in Hinduism to symbolize&nbsp;<em>Ashtalakshmi<\/em>, the eight forms of wealth. This symbol appears prominently in the Lugash national museum portrayed in the fictional film&nbsp;<em><a href=\"http:\/\/www.amazon.com\/exec\/obidos\/ASIN\/B0009IW8OE\/ref=nosim\/ericstreasuretro\">The Return of the Pink Panther<\/a><\/em>.<img decoding=\"async\" width=\"438.252\" height=\"208.697\" src=\"https:\/\/mathworld.wolfram.com\/images\/eps-svg\/StarofLakshmiArea_1000.svg\" alt=\"StarofLakshmiArea\"><\/p>\n\n\n\n<p>The interior of a Star of Lakshmi with edges of length&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline2.svg\" width=\"9\" height=\"21\" alt=\"a\">&nbsp;is a regular&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/Octagon.html\">octagon<\/a>&nbsp;with side lengths<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/NumberedEquation1.svg\" width=\"114\" height=\"26\" alt=\" a^'=(sqrt(2)-1)a. \"><\/td><td>(1)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The areas of the intersection&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline3.svg\" width=\"19\" height=\"21\" alt=\"A_1\">&nbsp;and union&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline4.svg\" width=\"19\" height=\"21\" alt=\"A_2\">&nbsp;of the two constituent squares are<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline5.svg\" width=\"18\" height=\"20\" alt=\"A_1\"><\/td><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline6.svg\" width=\"10\" height=\"20\" alt=\"=\"><\/td><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline7.svg\" width=\"87\" height=\"26\" alt=\"2(sqrt(2)-1)a\"><\/td><td>(2)<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline8.svg\" width=\"18\" height=\"20\" alt=\"A_2\"><\/td><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline9.svg\" width=\"10\" height=\"20\" alt=\"=\"><\/td><td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/equations\/StarofLakshmi\/Inline10.svg\" width=\"91\" height=\"26\" alt=\"2(2-sqrt(2))a.\"><\/td><td>(3)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">SEE ALSO<\/h2>\n\n\n\n<p><a href=\"https:\/\/mathworld.wolfram.com\/Dissection.html\">Dissection<\/a>,&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/Hexagram.html\">Hexagram<\/a>,&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/Pentagram.html\">Pentagram<\/a>,&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/Polygram.html\">Polygram<\/a>,&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/StarFigure.html\">Star Figure<\/a>,&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/StarPolygon.html\">Star Polygon<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">EXPLORE WITH WOLFRAM|ALPHA<\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/mathworld.wolfram.com\/images\/wolframalpha\/WA-logo.png\" alt=\"WolframAlpha\" title=\"WolframAlpha\"\/><\/figure>\n\n\n\n<p>More things to try:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a target=\"_blank\" href=\"http:\/\/www.wolframalpha.com\/entities\/lamina\/star_of_lakshmi\/w3\/nb\/r4\/\" rel=\"noreferrer noopener\">&nbsp;star of lakshmi<\/a><\/li>\n\n\n\n<li><a target=\"_blank\" href=\"https:\/\/www.wolframalpha.com\/input\/?i=%7B%7B2%2C-1%2C1%7D%2C%7B0%2C-2%2C1%7D%2C%7B1%2C-2%2C0%7D%7D.%7Bx%2Cy%2Cz%7D\" rel=\"noreferrer noopener\">{{2,-1,1},{0,-2,1},{1,-2,0}}.{x,y,z}<\/a><\/li>\n\n\n\n<li><a target=\"_blank\" href=\"https:\/\/www.wolframalpha.com\/input\/?i=FT+sinc+t\" rel=\"noreferrer noopener\">FT sinc t<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">REFERENCES<\/h2>\n\n\n\n<p>Savio, D.&nbsp;Y. and Suryanaroyan, E.&nbsp;R. &#8220;Chebyshev Polynomials and Regular Polygons.&#8221;&nbsp;<em>Amer. Math. Monthly<\/em><strong>100<\/strong>, 657-661, 1993.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">CITE THIS AS:<\/h2>\n\n\n\n<p><a href=\"https:\/\/mathworld.wolfram.com\/about\/author.html\">Weisstein, Eric W.<\/a>&nbsp;&#8220;Star of Lakshmi.&#8221; From&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/\"><em>MathWorld<\/em><\/a>&#8211;A Wolfram Web Resource.&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/StarofLakshmi.html\">https:\/\/mathworld.wolfram.com\/StarofLakshmi.html<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">SUBJECT CLASSIFICATIONS<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/Geometry.html\">Geometry<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/PlaneGeometry.html\">Plane Geometry<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/Polygons.html\">Polygons<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/HistoryandTerminology.html\">History and Terminology<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/DisciplinaryTerminology.html\">Disciplinary Terminology<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/ReligiousTerminology.html\">Religious Terminology<\/a>&nbsp;<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/RecreationalMathematics.html\">Recreational Mathematics<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/MathematicsintheArts.html\">Mathematics in the Arts<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/MathematicsinFilms.html\">Mathematics in Films<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/mathworld.wolfram.com\/topics\/TheReturnofthePinkPanther1977.html\">The Return of the Pink Panther (1977)<\/a>&nbsp;<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Star of Lakshmi Download&nbsp;Wolfram&nbsp;Notebook The Star of Lakshmi is the&nbsp;star figure&nbsp;, that is used in Hinduism to symbolize&nbsp;Ashtalakshmi, the eight forms of wealth. This symbol appears prominently in the Lugash national museum portrayed in the fictional film&nbsp;The Return of the Pink Panther. The interior of a Star of Lakshmi with edges of length&nbsp;&nbsp;is a regular&nbsp;octagon&nbsp;with &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.eastrovedica.com\/wordpress\/?p=20409\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-20409","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/20409","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=20409"}],"version-history":[{"count":2,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/20409\/revisions"}],"predecessor-version":[{"id":20421,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/20409\/revisions\/20421"}],"wp:attachment":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=20409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=20409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=20409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}