{"id":3094,"date":"2018-03-14T18:22:04","date_gmt":"2018-03-14T23:22:04","guid":{"rendered":"https:\/\/blogs.mathworks.com\/cleve\/?p=3094"},"modified":"2018-03-15T12:46:30","modified_gmt":"2018-03-15T17:46:30","slug":"happy-pi-day","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/cleve\/2018\/03\/14\/happy-pi-day\/","title":{"rendered":"Happy Pi Day"},"content":{"rendered":"<div class=\"content\"><h3>Pi Day<\/h3><p>Happy Pi Day, 3\/14.<\/p><p>Here are 10,000 digits of &#960;. Notice the six consecutive 9's in the sixth row, digits 763 through 768.<\/p><pre class=\"codeinput\">    n = 100;\r\n\r\n    <span class=\"comment\">% Get pi from Symbolic Toolbox.<\/span>\r\n\r\n    p = vpa(pi,n^2);\r\n\r\n    <span class=\"comment\">% Convert digits to characters, then to individual integers.<\/span>\r\n\r\n    p = char(p);\r\n    p(2) = [];  <span class=\"comment\">% Decimal point<\/span>\r\n    p = p - <span class=\"string\">'0'<\/span>;\r\n    p(end+1:n^2) = 0;\r\n\r\n    <span class=\"comment\">% Square array<\/span>\r\n\r\n    P = reshape(p,n,n)';\r\n\r\n    <span class=\"comment\">% Extra row and column to satisfy pcolor.<\/span>\r\n\r\n    P(n+1,n+1) = NaN;\r\n\r\n    <span class=\"comment\">% Plot with pcolor.<\/span>\r\n\r\n    pcolor(P)\r\n    axis <span class=\"string\">square<\/span>\r\n    axis <span class=\"string\">off<\/span>\r\n\r\n    <span class=\"comment\">% Title<\/span>\r\n    title(<span class=\"string\">'\\pi'<\/span>,<span class=\"string\">'fontsize'<\/span>,24)\r\n\r\n    <span class=\"comment\">% Make room for colorbar<\/span>\r\n\r\n    pos = get(gca,<span class=\"string\">'pos'<\/span>) - [.05 0 .0 0];\r\n    set(gca,<span class=\"string\">'ydir'<\/span>,<span class=\"string\">'rev'<\/span>,<span class=\"string\">'pos'<\/span>,pos)\r\n\r\n    <span class=\"comment\">% Custom colorbar.<\/span>\r\n\r\n    a = axes(<span class=\"string\">'pos'<\/span>,[.80 .60 .02 .30]);\r\n    y = (0:9)';\r\n    y(11,2) = NaN;\r\n    pcolor(y)\r\n    set(a,<span class=\"string\">'xtick'<\/span>,[],<span class=\"string\">'ydir'<\/span>,<span class=\"string\">'rev'<\/span>,<span class=\"string\">'ytick'<\/span>,(1.5:1:10.5)', <span class=\"keyword\">...<\/span>\r\n       <span class=\"string\">'yaxislocation'<\/span>,<span class=\"string\">'right'<\/span>, <span class=\"keyword\">...<\/span>\r\n       <span class=\"string\">'yticklabel'<\/span>,{<span class=\"string\">' 0'<\/span>,<span class=\"string\">' 1'<\/span>,<span class=\"string\">' 2'<\/span>,<span class=\"string\">' 3'<\/span>,<span class=\"string\">' 4'<\/span>,<span class=\"string\">' 5'<\/span>,<span class=\"string\">' 6'<\/span>,<span class=\"string\">' 7'<\/span>,<span class=\"string\">' 8'<\/span>,<span class=\"string\">' 9'<\/span>})\r\n<\/pre><img decoding=\"async\" vspace=\"5\" hspace=\"5\" src=\"https:\/\/blogs.mathworks.com\/cleve\/files\/pi_day_blog_01.png\" alt=\"\"> <script language=\"JavaScript\"> <!-- \r\n    function grabCode_8a601f5571a647edb269aa1cab5e3e26() {\r\n        \/\/ Remember the title so we can use it in the new page\r\n        title = document.title;\r\n\r\n        \/\/ Break up these strings so that their presence\r\n        \/\/ in the Javascript doesn't mess up the search for\r\n        \/\/ the MATLAB code.\r\n        t1='8a601f5571a647edb269aa1cab5e3e26 ' + '##### ' + 'SOURCE BEGIN' + ' #####';\r\n        t2='##### ' + 'SOURCE END' + ' #####' + ' 8a601f5571a647edb269aa1cab5e3e26';\r\n    \r\n        b=document.getElementsByTagName('body')[0];\r\n        i1=b.innerHTML.indexOf(t1)+t1.length;\r\n        i2=b.innerHTML.indexOf(t2);\r\n \r\n        code_string = b.innerHTML.substring(i1, i2);\r\n        code_string = code_string.replace(\/REPLACE_WITH_DASH_DASH\/g,'--');\r\n\r\n        \/\/ Use \/x3C\/g instead of the less-than character to avoid errors \r\n        \/\/ in the XML parser.\r\n        \/\/ Use '\\x26#60;' instead of '<' so that the XML parser\r\n        \/\/ doesn't go ahead and substitute the less-than character. \r\n        code_string = code_string.replace(\/\\x3C\/g, '\\x26#60;');\r\n\r\n        copyright = 'Copyright 2018 The MathWorks, Inc.';\r\n\r\n        w = window.open();\r\n        d = w.document;\r\n        d.write('<pre>\\n');\r\n        d.write(code_string);\r\n\r\n        \/\/ Add copyright line at the bottom if specified.\r\n        if (copyright.length > 0) {\r\n            d.writeln('');\r\n            d.writeln('%%');\r\n            if (copyright.length > 0) {\r\n                d.writeln('% _' + copyright + '_');\r\n            }\r\n        }\r\n\r\n        d.write('<\/pre>\\n');\r\n\r\n        d.title = title + ' (MATLAB code)';\r\n        d.close();\r\n    }   \r\n     --> <\/script><p style=\"text-align: right; font-size: xx-small; font-weight:lighter;   font-style: italic; color: gray\"><br><a href=\"javascript:grabCode_8a601f5571a647edb269aa1cab5e3e26()\"><span style=\"font-size: x-small;        font-style: italic;\">Get \r\n      the MATLAB code <noscript>(requires JavaScript)<\/noscript><\/span><\/a><br><br>\r\n      Published with MATLAB&reg; R2018a<br><\/p><\/div><!--\r\n8a601f5571a647edb269aa1cab5e3e26 ##### SOURCE BEGIN #####\r\n%% Pi Day\r\n% Happy Pi Day, 3\/14.\r\n%\r\n% Here are 10,000 digits of $\\pi$.\r\n% Notice the six consecutive 9's in the sixth row, \r\n% digits 763 through 768.\r\n    \r\n    n = 100;\r\n    \r\n    % Get pi from Symbolic Toolbox.\r\n\r\n    p = vpa(pi,n^2);\r\n    \r\n    % Convert digits to characters, then to individual integers.\r\n\r\n    p = char(p);\r\n    p(2) = [];  % Decimal point\r\n    p = p - '0';\r\n    p(end+1:n^2) = 0;\r\n    \r\n    % Square array\r\n    \r\n    P = reshape(p,n,n)';\r\n    \r\n    % Extra row and column to satisfy pcolor.\r\n\r\n    P(n+1,n+1) = NaN;\r\n    \r\n    % Plot with pcolor.\r\n\r\n    pcolor(P)\r\n    axis square\r\n    axis off\r\n    \r\n    % Title\r\n    title('\\pi','fontsize',24)\r\n    \r\n    % Make room for colorbar\r\n    \r\n    pos = get(gca,'pos') - [.05 0 .0 0];\r\n    set(gca,'ydir','rev','pos',pos)\r\n\r\n    % Custom colorbar.\r\n    \r\n    a = axes('pos',[.80 .60 .02 .30]);\r\n    y = (0:9)';\r\n    y(11,2) = NaN;\r\n    pcolor(y)\r\n    set(a,'xtick',[],'ydir','rev','ytick',(1.5:1:10.5)', ...\r\n       'yaxislocation','right', ...\r\n       'yticklabel',{' 0',' 1',' 2',' 3',' 4',' 5',' 6',' 7',' 8',' 9'})\r\n\r\n##### SOURCE END ##### 8a601f5571a647edb269aa1cab5e3e26\r\n-->","protected":false},"excerpt":{"rendered":"<div class=\"overview-image\"><img decoding=\"async\"  class=\"img-responsive\" src=\"https:\/\/blogs.mathworks.com\/cleve\/files\/pi_day_blog_01.png\" onError=\"this.style.display ='none';\" \/><\/div><p>Pi DayHappy Pi Day, 3\/14.Here are 10,000 digits of &#960;. Notice the six consecutive 9's in the sixth row, digits 763 through 768.    n = 100;\r\n\r\n    % Get pi from Symbolic Toolbox.\r\n\r\n    p =... <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/cleve\/2018\/03\/14\/happy-pi-day\/\">read more >><\/a><\/p>","protected":false},"author":78,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[5,23,20],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/posts\/3094"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/users\/78"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/comments?post=3094"}],"version-history":[{"count":3,"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/posts\/3094\/revisions"}],"predecessor-version":[{"id":3104,"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/posts\/3094\/revisions\/3104"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/media?parent=3094"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/categories?post=3094"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/cleve\/wp-json\/wp\/v2\/tags?post=3094"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}