{"version":"1.0","provider_name":"levendulas","provider_url":"https:\/\/levendulas.cafeblog.hu","author_name":"amfortas","author_url":"https:\/\/levendulas.cafeblog.hu\/author\/amfortas-2-2-2\/","title":"Nagyobb, mint az Univerzum !!!!","html":"<p>&nbsp;<span style=\"color: rgb(153, 0, 0);\"><span style=\"font-size: 18px;\"><\/span><span style=\"font-family: Times New Roman; font-size: 18px;\">Tudod-e, mi az a Mandelbrot-halmaz?<\/span><\/span><\/p><link rel=\"File-List\" href=\"file:\/\/\/C:%5CDOCUME%7E1%5CPTER%7E1%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml\"><!--[if gte mso 9]><xml>  <w:WordDocument>   <w:View>Normal<\/w:View>   <w:Zoom>0<\/w:Zoom>   <w:HyphenationZone>21<\/w:HyphenationZone>   <w:PunctuationKerning\/>   <w:ValidateAgainstSchemas\/>   <w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>   <w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>   <w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>   <w:Compatibility>    <w:BreakWrappedTables\/>    <w:SnapToGridInCell\/>    <w:WrapTextWithPunct\/>    <w:UseAsianBreakRules\/>    <w:DontGrowAutofit\/>   <\/w:Compatibility>   <w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>  <\/w:WordDocument> <\/xml><![endif]--><!--[if gte mso 9]><xml>  <w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">  <\/w:LatentStyles> <\/xml><![endif]--><style><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"> <!--  \/* Style Definitions *\/  p.MsoNormal, li.MsoNormal, div.MsoNormal \t{mso-style-parent:\"\"; \tmargin:0cm; \tmargin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:12.0pt; \tfont-family:\"Times New Roman\"; \tmso-fareast-font-family:\"Times New Roman\";} a:link, span.MsoHyperlink \t{color:blue; \ttext-decoration:underline; \ttext-underline:single;} a:visited, span.MsoHyperlinkFollowed \t{color:purple; \ttext-decoration:underline; \ttext-underline:single;} @page Section1 \t{size:612.0pt 792.0pt; \tmargin:70.85pt 70.85pt 70.85pt 70.85pt; \tmso-header-margin:35.4pt; \tmso-footer-margin:35.4pt; \tmso-paper-source:0;} div.Section1 \t{page:Section1;} --> <\/span><\/style><!--[if gte mso 10]> <style>  \/* Style Definitions *\/  table.MsoNormalTable \t{mso-style-name:\"Norm\u00e1l t\u00e1bl\u00e1zat\"; \tmso-tstyle-rowband-size:0; \tmso-tstyle-colband-size:0; \tmso-style-noshow:yes; \tmso-style-parent:\"\"; \tmso-padding-alt:0cm 5.4pt 0cm 5.4pt; \tmso-para-margin:0cm; \tmso-para-margin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:10.0pt; \tfont-family:\"Times New Roman\"; \tmso-ansi-language:#0400; \tmso-fareast-language:#0400; \tmso-bidi-language:#0400;} <\/style> <![endif]--><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">  <\/span><p class=\"MsoNormal\"><a href=\"http:\/\/www.youtube.com\/watch?v=2tRdLD6vh3g&amp;feature=related\"><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"><span style=\"color: rgb(51, 0, 102);\">http:\/\/www.youtube.com\/watch?v=2tRdLD6vh3g&amp;feature=related<\/span><\/span><\/a><\/p><p class=\"MsoNormal\"><br><\/p><p class=\"MsoNormal\"><a href=\"http:\/\/www.youtube.com\/watch?v=2tRdLD6vh3g&amp;feature=related\"><br><\/a><\/p><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"><\/span><link rel=\"File-List\" href=\"file:\/\/\/C:%5CDOCUME%7E1%5CPTER%7E1%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml\"><!--[if gte mso 9]><xml>  <w:WordDocument>   <w:View>Normal<\/w:View>   <w:Zoom>0<\/w:Zoom>   <w:HyphenationZone>21<\/w:HyphenationZone>   <w:PunctuationKerning\/>   <w:ValidateAgainstSchemas\/>   <w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>   <w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>   <w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>   <w:Compatibility>    <w:BreakWrappedTables\/>    <w:SnapToGridInCell\/>    <w:WrapTextWithPunct\/>    <w:UseAsianBreakRules\/>    <w:DontGrowAutofit\/>   <\/w:Compatibility>   <w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>  <\/w:WordDocument> <\/xml><![endif]--><!--[if gte mso 9]><xml>  <w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">  <\/w:LatentStyles> <\/xml><![endif]--><style><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"> <!--  \/* Style Definitions *\/  p.MsoNormal, li.MsoNormal, div.MsoNormal \t{mso-style-parent:\"\"; \tmargin:0cm; \tmargin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:12.0pt; \tfont-family:\"Times New Roman\"; \tmso-fareast-font-family:\"Times New Roman\";} @page Section1 \t{size:612.0pt 792.0pt; \tmargin:70.85pt 70.85pt 70.85pt 70.85pt; \tmso-header-margin:35.4pt; \tmso-footer-margin:35.4pt; \tmso-paper-source:0;} div.Section1 \t{page:Section<\/span><\/style><span style=\"font-size: 12pt; font-family: &quot;Times New Roman&quot;;\"><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">B\u00e1rmeddig nagy\u00edthatjuk, sosem \u00e9r\u00fcnk el egy maxim\u00e1lis nagy\u00edt\u00e1st!<\/span><br><br><\/span><img style=\"width: 507px; height: 490px;\" src=\"https:\/\/levendulas.cafeblog.hu\/files\/pow16small.jpg\" class=\"blogkep\"><br><br><link rel=\"File-List\" href=\"file:\/\/\/C:%5CDOCUME%7E1%5CPTER%7E1%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml\"><link rel=\"Edit-Time-Data\" href=\"file:\/\/\/C:%5CDOCUME%7E1%5CPTER%7E1%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_editdata.mso\"><!--[if !mso]> <style> v:* {behavior:url(#default#VML);} o:* {behavior:url(#default#VML);} w:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} <\/style> <![endif]--><!--[if gte mso 9]><xml>  <w:WordDocument>   <w:View>Normal<\/w:View>   <w:Zoom>0<\/w:Zoom>   <w:HyphenationZone>21<\/w:HyphenationZone>   <w:PunctuationKerning\/>   <w:ValidateAgainstSchemas\/>   <w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>   <w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>   <w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>   <w:Compatibility>    <w:BreakWrappedTables\/>    <w:SnapToGridInCell\/>    <w:WrapTextWithPunct\/>    <w:UseAsianBreakRules\/>    <w:DontGrowAutofit\/>   <\/w:Compatibility>   <w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>  <\/w:WordDocument> <\/xml><![endif]--><!--[if gte mso 9]><xml>  <w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">  <\/w:LatentStyles> <\/xml><![endif]--><style><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"> <!--  \/* Style Definitions *\/  p.MsoNormal, li.MsoNormal, div.MsoNormal \t{mso-style-parent:\"\"; \tmargin:0cm; \tmargin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:12.0pt; \tfont-family:\"Times New Roman\"; \tmso-fareast-font-family:\"Times New Roman\";} a:link, span.MsoHyperlink \t{color:blue; \ttext-decoration:underline; \ttext-underline:single;} a:visited, span.MsoHyperlinkFollowed \t{color:purple; \ttext-decoration:underline; \ttext-underline:single;} p \t{mso-margin-top-alt:auto; \tmargin-right:0cm; \tmso-margin-bottom-alt:auto; \tmargin-left:0cm; \tmso-pagination:widow-orphan; \tfont-size:12.0pt; \tfont-family:\"Times New Roman\"; \tmso-fareast-font-family:\"Times New Roman\";} span.printanchor \t{mso-style-name:print_anchor;} @page Section1 \t{size:595.3pt 841.9pt; \tmargin:70.85pt 70.85pt 70.85pt 70.85pt; \tmso-header-margin:35.4pt; \tmso-footer-margin:35.4pt; \tmso-paper-source:0;} div.Section1 \t{page:Section1;} --> <\/span><\/style><!--[if gte mso 10]> <style>  \/* Style Definitions *\/  table.MsoNormalTable \t{mso-style-name:\"Norm\u00e1l t\u00e1bl\u00e1zat\"; \tmso-tstyle-rowband-size:0; \tmso-tstyle-colband-size:0; \tmso-style-noshow:yes; \tmso-style-parent:\"\"; \tmso-padding-alt:0cm 5.4pt 0cm 5.4pt; \tmso-para-margin:0cm; \tmso-para-margin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:10.0pt; \tfont-family:\"Times New Roman\"; \tmso-ansi-language:#0400; \tmso-fareast-language:#0400; \tmso-bidi-language:#0400;} <\/style> <![endif]--><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">  <\/span><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">  <\/span><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">  <\/span><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">  <\/span><p><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">Eddig csak k\u00e9t dimenzi\u00f3ban voltak csod\u00e1lhat\u00f3k frakt\u00e1lok, de most elk\u00e9sz\u00fclt a v\u00e9gtelen\u00edtett k\u00e9pek t\u00e9rhat\u00e1s\u00fa verzi\u00f3ja. <\/span><o:p><\/o:p><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\">Benoit Mandelbrot legh\u00edresebb kutat\u00e1si eredm\u00e9ny\u00e9t, a Mandelbrot-halmazt azok is ismerhetik, akik nem tudnak a L\u00e9vy-eloszl\u00e1sr\u00f3l vagy az Olbers-paradoxonr\u00f3l, viszont szeretnek sz\u00ednes k\u00e9peket n\u00e9zegetni. A francia-amerikai matematikus \u00e1ltal kital\u00e1lt frakt\u00e1lok l\u00e1tv\u00e1nyos vil\u00e1ga \u00f3r\u00e1kra mag\u00e1ba szippantja az embert, de eddig csak k\u00e9t dimenzi\u00f3ban lehetett elmer\u00fclni a sz\u00ednes k\u00e9pekben.<\/span><o:p><\/o:p><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"> A t\u00e9rhat\u00e1s\u00fa objektumokban \u2013 amiket Mandelbulbnak neveztek el \u2013 t\u00edzmilli\u00f3szoros nagy\u00edt\u00e1sig zoomoltak.<\/span><o:p><\/o:p><\/p><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"><\/span><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"><\/span><font color=\"#800080\" face=\"Comic Sans MS\" size=\"2\"><a title=\"http:\/\/www.skytopia.com\/project\/fractal\/mandelbulb.html A hivatkoz\u00e1s k\u00f6vet\u00e9s\u00e9hez a CTRL billenty\u0171 lenyom\u00e1sa k\u00f6zben kattintson a hivatkoz\u00e1sra\" href=\"http:\/\/www.skytopia.com\/project\/fractal\/mandelbulb.html\"><span style=\"color: rgb(153, 0, 0); font-family: Times New Roman; font-size: 18px;\"><span style=\"color: rgb(51, 51, 153);\">http:\/\/www.skytopia.com\/project\/fractal\/mandelbulb.html<\/span><\/span><\/a><br><br><\/font><font color=\"#800080\" face=\"Comic Sans MS\" size=\"2\"><a title=\"http:\/\/www.skytopia.com\/project\/fractal\/2mandelbulb.html A hivatkoz\u00e1s k\u00f6vet\u00e9s\u00e9hez a CTRL billenty\u0171 lenyom\u00e1sa k\u00f6zben kattintson a hivatkoz\u00e1sra\" href=\"http:\/\/www.skytopia.com\/project\/fractal\/2mandelbulb.html\"><span style=\"color: rgb(51, 51, 153); font-family: Times New Roman; font-size: 18px;\">http:\/\/www.skytopia.com\/project\/fractal\/2mandelbulb.html<\/span><\/a><\/font><br><br>&nbsp;\/Nautilus: term\u00e9szetes frakt\u00e1l\/ <img style=\"width: 171px; height: 169px;\" src=\"https:\/\/levendulas.cafeblog.hu\/files\/nautilus.jpg\" class=\"blogkep\"><br><link rel=\"File-List\" href=\"file:\/\/\/C:%5CDOCUME%7E1%5CPTER%7E1%5CLOCALS%7E1%5CTemp%5Cmsohtml1%5C01%5Cclip_filelist.xml\"><!--[if gte mso 9]><xml>  <w:WordDocument>   <w:View>Normal<\/w:View>   <w:Zoom>0<\/w:Zoom>   <w:HyphenationZone>21<\/w:HyphenationZone>   <w:PunctuationKerning\/>   <w:ValidateAgainstSchemas\/>   <w:SaveIfXMLInvalid>false<\/w:SaveIfXMLInvalid>   <w:IgnoreMixedContent>false<\/w:IgnoreMixedContent>   <w:AlwaysShowPlaceholderText>false<\/w:AlwaysShowPlaceholderText>   <w:Compatibility>    <w:BreakWrappedTables\/>    <w:SnapToGridInCell\/>    <w:WrapTextWithPunct\/>    <w:UseAsianBreakRules\/>    <w:DontGrowAutofit\/>   <\/w:Compatibility>   <w:BrowserLevel>MicrosoftInternetExplorer4<\/w:BrowserLevel>  <\/w:WordDocument> <\/xml><![endif]--><!--[if gte mso 9]><xml>  <w:LatentStyles DefLockedState=\"false\" LatentStyleCount=\"156\">  <\/w:LatentStyles> <\/xml><![endif]--><style><span style=\"color: rgb(51, 51, 153); font-family: Times New Roman; font-size: 18px;\"> <!--  \/* Style Definitions *\/  p.MsoNormal, li.MsoNormal, div.MsoNormal \t{mso-style-parent:\"\"; \tmargin:0cm; \tmargin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:12.0pt; \tfont-family:\"Times New Roman\"; \tmso-fareast-font-family:\"Times New Roman\";} @page Section1 \t{size:612.0pt 792.0pt; \tmargin:70.85pt 70.85pt 70.85pt 70.85pt; \tmso-header-margin:35.4pt; \tmso-footer-margin:35.4pt; \tmso-paper-source:0;} div.Section1 \t{page:Section1;} --> <\/span><\/style><!--[if gte mso 10]> <style>  \/* Style Definitions *\/  table.MsoNormalTable \t{mso-style-name:\"Norm\u00e1l t\u00e1bl\u00e1zat\"; \tmso-tstyle-rowband-size:0; \tmso-tstyle-colband-size:0; \tmso-style-noshow:yes; \tmso-style-parent:\"\"; \tmso-padding-alt:0cm 5.4pt 0cm 5.4pt; \tmso-para-margin:0cm; \tmso-para-margin-bottom:.0001pt; \tmso-pagination:widow-orphan; \tfont-size:10.0pt; \tfont-family:\"Times New Roman\"; \tmso-ansi-language:#0400; \tmso-fareast-language:#0400; \tmso-bidi-language:#0400;} <\/style> <![endif]--><span style=\"font-size: 12pt; font-family: &quot;Times New Roman&quot;;\"><\/span><br><span style=\"font-size: 12pt; font-family: &quot;Times New Roman&quot;;\"><br><\/span><span style=\"color: rgb(51, 51, 153);\"><\/span>","type":"rich"}