{"id":398,"date":"2016-09-20T17:36:11","date_gmt":"2016-09-20T21:36:11","guid":{"rendered":"http:\/\/s1090897154.onlinehome.us\/orijikan\/?p=398"},"modified":"2016-09-20T17:40:40","modified_gmt":"2016-09-20T21:40:40","slug":"the-triadic-networks-periodicity-for-the-21st-century","status":"publish","type":"post","link":"https:\/\/www.orijikan.com\/?p=398","title":{"rendered":"The Triadic Networks: periodicity for the 21st century."},"content":{"rendered":"<p>This is a great<a href=\"http:\/\/www.chem.ucla.edu\/dept\/Faculty\/scerri\/pdf\/New%20PT%20paper.pdf\"> summary paper by Dr. Eric Scerri<\/a> on the role of triads in evolution of the periodic table.<\/p>\n<p>This is t<a href=\"http:\/\/www.meta-synthesis.com\/webbook\/35_pt\/Zambon_periodic_table_based_on_triads.pdf\">he paper by Dr. Alfio Zambon<\/a>\u00a0which inspired this work.<\/p>\n<p>Here then is my contribution to chemistry: the Triadic Networks (TN), which is a general mathematical design, and the Triadic Elemental Networks (TEN), which apply that design to chemical elements.<\/p>\n<p>I will be filling in more as need be but for now I&#8217;m putting up the diagrams that are necessary and sufficient to understand the concept.<\/p>\n<p><strong>I look forward to discussing this further with you and everyone else!!<\/strong><\/p>\n<p><a href=\"http:\/\/s1090897154.onlinehome.us\/orijikan\/wp-content\/uploads\/2016\/09\/Tnet-3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-401\" src=\"http:\/\/s1090897154.onlinehome.us\/orijikan\/wp-content\/uploads\/2016\/09\/Tnet-3.jpg\" alt=\"The Triadic Network\" width=\"2884\" height=\"1177\" srcset=\"https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-3.jpg 2884w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-3-300x122.jpg 300w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-3-768x313.jpg 768w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-3-1024x418.jpg 1024w\" sizes=\"auto, (max-width: 2884px) 100vw, 2884px\" \/><\/a><\/p>\n<p>FIGURE 1: THE TRIADIC NETWORKS.<br \/>\nThis is a general math relationship based on the triadic average, where the middle numer of a link is the average of the outer two numbers. \u00a0There are many ways to do this in a set of numbers; here we see one such design inspired by Zambon&#8217;s Periodicity Tree 0 (Figure 3 in his paper).<\/p>\n<p><a href=\"http:\/\/s1090897154.onlinehome.us\/orijikan\/wp-content\/uploads\/2016\/09\/Tent-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-400\" src=\"http:\/\/s1090897154.onlinehome.us\/orijikan\/wp-content\/uploads\/2016\/09\/Tent-2.jpg\" alt=\"The Hydrogen Hexanet\" width=\"2620\" height=\"1091\" srcset=\"https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tent-2.jpg 2620w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tent-2-300x125.jpg 300w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tent-2-768x320.jpg 768w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tent-2-1024x426.jpg 1024w\" sizes=\"auto, (max-width: 2620px) 100vw, 2620px\" \/><\/a><\/p>\n<p>FIGURE 2: THE HYDROGEN HEXANET.<br \/>\nAs the figure itself says, this draws attention to the fact that a 6-element collection of linked numbers (or elements) which we call a hexanet is responsible for half the elements that occur naturally on earth and, based on predictions, in the universe.<\/p>\n<p><a href=\"http:\/\/s1090897154.onlinehome.us\/orijikan\/wp-content\/uploads\/2016\/09\/Tnet-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-399\" src=\"http:\/\/s1090897154.onlinehome.us\/orijikan\/wp-content\/uploads\/2016\/09\/Tnet-1.jpg\" alt=\"The Triadic Elemental Networks\" width=\"3404\" height=\"3040\" srcset=\"https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-1.jpg 3404w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-1-300x268.jpg 300w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-1-768x686.jpg 768w, https:\/\/www.orijikan.com\/wp-content\/uploads\/2016\/09\/Tnet-1-1024x915.jpg 1024w\" sizes=\"auto, (max-width: 3404px) 100vw, 3404px\" \/><\/a><\/p>\n<p>FIGURE 3: THE TRIADIC ELEMENTAL NETWORKS.<br \/>\nFully expanding figure 4 and linking redundancies generates this new version of the periodic table. \u00a0Here we see four layers of even and odd numbers connected by triads. \u00a0As the legend indicates, the layers are inter-connected by two linear triadic networks, 1234, and 5678, and layers 2, 3, and 4 are more strongly connected to each other than layer 1.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a great summary paper by Dr. Eric Scerri on the role of triads in evolution of the periodic table. This is the paper by Dr. Alfio Zambon\u00a0which inspired this work. Here then is my contribution to chemistry: the Triadic Networks (TN), which is a general mathematical design, and the Triadic Elemental Networks (TEN), &hellip; <a href=\"https:\/\/www.orijikan.com\/?p=398\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">The Triadic Networks: periodicity for the 21st century.<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[],"class_list":["post-398","post","type-post","status-publish","format-standard","hentry","category-orijikan"],"_links":{"self":[{"href":"https:\/\/www.orijikan.com\/index.php?rest_route=\/wp\/v2\/posts\/398","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.orijikan.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.orijikan.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.orijikan.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.orijikan.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=398"}],"version-history":[{"count":2,"href":"https:\/\/www.orijikan.com\/index.php?rest_route=\/wp\/v2\/posts\/398\/revisions"}],"predecessor-version":[{"id":403,"href":"https:\/\/www.orijikan.com\/index.php?rest_route=\/wp\/v2\/posts\/398\/revisions\/403"}],"wp:attachment":[{"href":"https:\/\/www.orijikan.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=398"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.orijikan.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=398"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.orijikan.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}