{"version":"1.0","provider_name":"SOUL OF MATHEMATICS","provider_url":"https:\/\/soulofmathematics.com","author_name":"Rajarshi Dey","author_url":"https:\/\/soulofmathematics.com\/index.php\/author\/rajarshidey1729gmail-com\/","title":"FERMAT'S SPIRAL MANDALAS - SOUL OF MATHEMATICS","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"2T2mBkCDyP\"><a href=\"https:\/\/soulofmathematics.com\/index.php\/fermats-spiral-mandalas\/\">FERMAT&#8217;S SPIRAL MANDALAS<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/soulofmathematics.com\/index.php\/fermats-spiral-mandalas\/embed\/#?secret=2T2mBkCDyP\" width=\"600\" height=\"338\" title=\"&#8220;FERMAT&#8217;S SPIRAL MANDALAS&#8221; &#8212; SOUL OF MATHEMATICS\" data-secret=\"2T2mBkCDyP\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script type=\"text\/javascript\">\n\/* <![CDATA[ *\/\n\/*! This file is auto-generated *\/\n!function(d,l){\"use strict\";l.querySelector&&d.addEventListener&&\"undefined\"!=typeof URL&&(d.wp=d.wp||{},d.wp.receiveEmbedMessage||(d.wp.receiveEmbedMessage=function(e){var t=e.data;if((t||t.secret||t.message||t.value)&&!\/[^a-zA-Z0-9]\/.test(t.secret)){for(var s,r,n,a=l.querySelectorAll('iframe[data-secret=\"'+t.secret+'\"]'),o=l.querySelectorAll('blockquote[data-secret=\"'+t.secret+'\"]'),c=new RegExp(\"^https?:$\",\"i\"),i=0;i<o.length;i++)o[i].style.display=\"none\";for(i=0;i<a.length;i++)s=a[i],e.source===s.contentWindow&&(s.removeAttribute(\"style\"),\"height\"===t.message?(1e3<(r=parseInt(t.value,10))?r=1e3:~~r<200&&(r=200),s.height=r):\"link\"===t.message&&(r=new URL(s.getAttribute(\"src\")),n=new URL(t.value),c.test(n.protocol))&&n.host===r.host&&l.activeElement===s&&(d.top.location.href=t.value))}},d.addEventListener(\"message\",d.wp.receiveEmbedMessage,!1),l.addEventListener(\"DOMContentLoaded\",function(){for(var e,t,s=l.querySelectorAll(\"iframe.wp-embedded-content\"),r=0;r<s.length;r++)(t=(e=s[r]).getAttribute(\"data-secret\"))||(t=Math.random().toString(36).substring(2,12),e.src+=\"#?secret=\"+t,e.setAttribute(\"data-secret\",t)),e.contentWindow.postMessage({message:\"ready\",secret:t},\"*\")},!1)))}(window,document);\n\/* ]]> *\/\n<\/script>\n","thumbnail_url":"https:\/\/i0.wp.com\/soulofmathematics.com\/wp-content\/uploads\/2020\/10\/c1645e287fdd06195de639d6894e83b3.gif?fit=600%2C600&ssl=1","thumbnail_width":600,"thumbnail_height":600,"description":"Fermat&#8217;s spiral is similar to the&nbsp;Archimedean spiral. But an Archimedean spiral has always the same distance between neighboring arcs, which is not true for Fermat&#8217;s spiral. Like other spirals Fermat&#8217;s spiral is used for curvature continuous blending of curves. A&nbsp;Fermat&#8217;s spiral&nbsp;or&nbsp;parabolic spiral&nbsp;is a&nbsp;plane curve&nbsp;named after&nbsp;Pierre de Fermat. Its polar coordinate representation is given by A mandala is a geometric configuration of symbols. In various spiritual traditions, mandalas may be employed for focusing attention of practitioners and adepts, as a spiritual guidance tool, for establishing a sacred space and as an aid to meditation and trance induction. Now lets explore Fermat&#8217;s Spiral as a method to create circular point figures and finally, a procedure of combining a series of spirals is proposed to form a mandala. KUDOS TO: Robert J. KrawczykCollege of Architecture, Illinois Institute of Technology"}