{"id":10889,"date":"2016-07-10T16:03:51","date_gmt":"2016-07-10T08:03:51","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=10889"},"modified":"2022-04-27T06:55:00","modified_gmt":"2022-04-26T22:55:00","slug":"real-story-behind-tesla-map-multiplication-chart","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/mathematics\/real-story-behind-tesla-map-multiplication-chart-10889","title":{"rendered":"The real story behind the Tesla Map to Multiplication chart"},"content":{"rendered":"<p>I recently found this <strong>Map to Multiplication<\/strong> chart and found it fascinating. It's purportedly by the brilliant inventor <a href=\"http:\/\/www.biography.com\/people\/nikola-tesla-9504443\">Nikola Tesla<\/a>.<\/p>\n<p>I developed a <a href=\"https:\/\/www.intmath.com\/numbers\/tesla-multiplication-3d-interactive-applet.php\">3D interactive applet<\/a> which shows more clearly the patterns found in this multiplication chart.<\/p>\n<h2>The \"Map to Multiplication\"<\/h2>\n<p>The chart works as follows. Place the numbers 1 to 144 on a spiral, such that 1 is in the \"1 o'clock\" position, 2 is at \"2 o'clock\", and so on, as follows:<\/p>\n<div class=\"imgCenter\"><a href=\"\/blog\/wp-content\/images\/2016\/06\/tesla-map-to-multiplication.jpg\"><br \/>\n<img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/06\/tesla-map-to-multiplication4.jpg\" alt=\"N. Tesla Map to Multiplication\" width=\"310\" height=\"413\" \/><\/a><br \/>\n(Click to see full-size image)<\/div>\n<p>Around the edge of the spiral the author has indicated the patterns which form by succesively multiplying various numbers.<\/p>\n<p>For example, the multiples of 2 form a hexagon shape as we go around the spiral:<\/p>\n<div class=\"imgCenter\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/06\/2.jpg\" alt=\"Tesla Map to Multiplication 2\" width=\"150\" height=\"237\" \/><\/div>\n<p>This image gives a clearer view of the hexagon resulting from successive multiples of 2:<\/p>\n<div class=\"imgCenter\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/07\/multiples-2.jpg\" alt=\"Multiples of 2\" width=\"150\" height=\"150\" \/><\/div>\n<p>Multiples of 3 give us diamonds:<\/p>\n<div class=\"imgCenter\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/06\/3.jpg\" alt=\"Tesla Map to Multiplication- 3\" width=\"310\" height=\"140\" \/><\/div>\n<p>Here is that diamond on a clock face:<\/p>\n<div class=\"imgCenter\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/07\/multiples-3.jpg\" alt=\"Multiples of 3\" width=\"150\" height=\"150\" \/><\/div>\n<p>Multiples of 5 (when we go all the way out to 144) give us a more complex star shape:<\/p>\n<div class=\"imgCenter\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/06\/5.jpg\" alt=\"Tesla Map to Multiplication - 5\" width=\"150\" height=\"264\" \/><\/div>\n<p>The prime 11 spirals out from the center:<\/p>\n<div class=\"imgCenter\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/06\/11.jpg\" alt=\"Tesla Map to Multiplication - 11\" width=\"200\" height=\"211\" \/><\/div>\n<h2>But it wasn't by Tesla!<\/h2>\n<p>I was initially fooled by the chart. It certainly looks like something Tesla may have produced, and the paper it's printed on (or appears to be printed on) is suitably yellowed.<\/p>\n<p>In reality, math teacher <b>Joey Grether<\/b> originally developed the chart for his children. He tried to promote it via <a href=\"http:\/\/12xspiral.com\/\">12xspiral<\/a> but with little success.<\/p>\n<p>So he cheekily decided to create a hoax, making it look like the chart was by Nikola Tesla. [His post has since been taken down.].<\/p>\n<p>There's an article about Joey (by Maria Droujkova) here: <a href=\"https:\/\/naturalmath.com\/2014\/07\/12x-spiral-factorization-diagram\/\">Exploring the spiral multiplication table<\/a>, where you can see the original <b>Grether's Spiral<\/b> diagram.<\/p>\n<p>Also see <a href=\"https:\/\/www.reddit.com\/r\/WTF\/comments\/3x3tu0\/nicolai_teslas_map_to_multiplication\/\">this Reddit entry<\/a>, which alerted me to the scam.<\/p>\n<h3>Conclusion<\/h3>\n<p>Don't always believe what you read - even though it looks plausible.<\/p>\n<p>Now head on over and <a href=\"https:\/\/www.intmath.com\/numbers\/tesla-multiplication-3d-interactive-applet.php\">check out my 3D animation of the Grether Sprial<\/a>.<\/p>\n<p>(Images credit: Joey Grether)<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.intmath.com\/chat\/index2.html\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" src=\"https:\/\/www.intmath.com\/includes\/images\/tutor_chat_ad_banner.png\" alt=\"24x7 Tutor Chat\" width=\"632\" height=\"135\" \/><\/a><\/p>\n<p class=\"alt\">See the <a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/real-story-behind-tesla-map-multiplication-chart-10889#comments\" id=\"comms\">15 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/real-story-behind-tesla-map-multiplication-chart-10889\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2016\/07\/tesla-multiplicaiton-interactive.jpg\" alt=\"Tesla multiplication applet\" width=\"128\" height=\"100\" class=\"imgRt\" \/><\/a><br \/>\nThe fascinating Map to Multiplication may not be all it seems, notwithstanding its cleverness.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[4],"tags":[134,109],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/10889"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=10889"}],"version-history":[{"count":4,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/10889\/revisions"}],"predecessor-version":[{"id":13067,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/10889\/revisions\/13067"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=10889"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=10889"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=10889"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}