Hexnet Hexagonal Tag Feed: pythagorean A feed of tagged nodes. https://hexnet.org/blog The Chaldean Oracles <p> Here we see a selection of illustrations relating, I am told, to the so-called <a class="ex" href="http://en.wikipedia.org/wiki/Chaldean_Oracles">Chaldean Oracles</a> of "Zoroaster"&mdash;which are, of course, neither Chaldean, nor Zoroastrian, nor oracles. </p> <p> I've been unable to ascertain the origin or IP status of these images. But they are pretty amazing, so I'm posting them anyway, pending receipt of further information on the matter. They certainly look like olden-style woodcuts, or at least hand-drawn illustrations, but could just as easily be modern, and for all I know computer-generated. As always, if you have any information on the source of these images, please do not hesitate to <a href="http://hexnet.org/contact">contact</a> us. Thank you. </p> Thu, 16 Dec 2010 00:57:46 +0000 https://hexnet.org/content/chaldean-oracles https://hexnet.org/content/chaldean-oracles The Double Triangle, Hexagon, Hexad, or the Number Six <p><i> The following is a transcript of Chapter VI of </i><a class='ex' href="http://www.amazon.com/gp/product/1103956566/ref=as_li_tf_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1103956566&linkCode=as2&tag=hexnet08-20">The Pythagorean Triangle: Or, the Science of Numbers</a><i> by the Rev. Dr. George Oliver, a noted 19th century English Freemason. I have compiled this from several sources, including the <a class="ex" href="http://www.archive.org/details/pythagoreantria01olivgoog">Internet Archive</a>, <a class="ex" href="http://books.google.com">Google Books</a>, and my own copy of the work. I slightly reworked the layout where necessary, including sort of rejiggering the chapter opening here. I've made several minor typographic modifications as well, such as removing the spaces before semicolons (a form of punctuation the good Doctor seems to have had a particular fondness for). </i></p> <p><i> The rest of the book consists of similar musings on the other natural numbers, up to ten. I do not necessarily agree with Dr. Oliver's views, either on the hexad in particular, or on Christian numerology in general. I certainly don't agree with his cryptodecimalist ontology. But it is nonetheless an interesting treatment of the subject, and I offer it here as a noteworthy historical artifact of antiquarian hexagonal thought. </i></p> <p><i> A PDF version of the full book can be downloaded from our <a href='http://hexnet.org/library'>Hexagonal Library</a>. </i></p> Mon, 30 Aug 2010 03:50:00 +0000 https://hexnet.org/content/double-triangle-hexagon-hexad-number-six https://hexnet.org/content/double-triangle-hexagon-hexad-number-six Decad as vesica piscis <p> Here we see another form of the Pythagorean decad, highlighting its hexagonal nature. </p> <p> Geometries such as this have been used by people throughout history&mdash;Pythagoreans, Freemasons, &amp;c.&mdash;to justify decimalism. This is a false understanding of the decad. In both this diagram, as well as in the <a href="http://hexnet.org/content/tetractys">Tetractys</a>, it is clear that the fundamental organizational principle is hexagonal, not decadian. The concept of ten emanates from the underlying reality of the hexagon&mdash;not the other way around. </p> Fri, 27 Aug 2010 17:10:47 +0000 https://hexnet.org/content/decad-vesica-piscis https://hexnet.org/content/decad-vesica-piscis Tetractys <p> The Tetractys is a triangular figure of ten points arranged in four rows, equivalent to the fourth triangular number. It was considered sacred by the ancient Pythagoreans of yore. </p> Sun, 20 Jun 2010 02:14:14 +0000 https://hexnet.org/content/tetractys https://hexnet.org/content/tetractys