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Jazz FM – Now PlayingGolden Ratio - Cosmic Journey <a href="https://mastodon.social/tags/JazzFM" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#JazzFM</a> <a href="https://mastodon.social/tags/Jazz" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Jazz</a> <a href="https://mastodon.social/tags/NowPlaying" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#NowPlaying</a> <a href="https://mastodon.social/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GoldenRatio</a>

Dani Laura (they/she/he)I have found an interesting geometric fact: suppose you have a hexagon of side 1 and duplicate and enlarge it by the golden ratio 𝜑; the distance from one vertex of the unit hexagon to a vertex of the bigger hexagon 60° apart is √2. Furthermore, if another hexagon reduced by 𝜑 is drawn inside, the distance from one vertex of the unit hexagon to a vertex of the smaller hexagon 120° apart is also √2 [first figure]. This boils down to the fact that a triangle of sides 1, √2, and 𝜑 has an angle of 60° opposite to side √2. That triangle is very remarkable as it contains the three more relevant algebraic geometric constants: √2, √3/2 (altitude to the bigger side) and 𝜑 [second figure]. Of course this can be also used to construct 𝜑 from a square and a triangle (I bet this is known). In the follow-up some artistic designs exploiting those facts. <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#geometry</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mathstodon.xyz/tags/triangle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#triangle</a> <a href="https://mathstodon.xyz/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GoldenRatio</a>

IT NewsThe Helicone: Toy or Mathematical Oddity? - We always enjoy videos from the [Mathologer], but we especially liked the recent v... - <a href="https://hackaday.com/2025/01/07/the-helicone-toy-or-mathematical-oddity/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://hackaday.com/2025/01/07/the-helicone-toy-or-mathematical-oddity/</a> <a href="https://schleuss.online/tags/goldenratio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#goldenratio</a> <a href="https://schleuss.online/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://schleuss.online/tags/toyhacks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#toyhacks</a> <a href="https://schleuss.online/tags/helicone" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#helicone</a>

Ele Willoughby, PhDToday is Fibonacci Day. November 23 if written in MM/DD format recalls the <a href="https://spore.social/tags/mathematician" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematician</a> Leonardo Bonaccio of Pisa (c. 1170 - c. 1240 or 50) aka Fibonacci’s sequence (1,1,2,3…) where each number is the sum of the previous two. He used it to describe rabbit populations, but the sequence is commonly observed in nature,<a href="https://spore.social/tags/linocut" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#linocut</a> <a href="https://spore.social/tags/printmaking" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#printmaking</a> <a href="https://spore.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://spore.social/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathart</a> <a href="https://spore.social/tags/sciart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#sciart</a> <a href="https://spore.social/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GoldenRatio</a> <a href="https://spore.social/tags/GoldenRectangle" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GoldenRectangle</a> <a href="https://spore.social/tags/GoldenSpiral" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GoldenSpiral</a> <a href="https://spore.social/tags/Fibonacci" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Fibonacci</a> <a href="https://spore.social/tags/FibonacciSequence" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FibonacciSequence</a> <a href="https://spore.social/tags/fibonacciday2024" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fibonacciday2024</a> <a href="https://spore.social/tags/FibonacciDay" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FibonacciDay</a>

Flipboard Culture DeskIn this article, also for <a href="https://newsie.social/@TheConversationUS" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@TheConversationUS</a>, math professor Manil Suri makes the case for other math holidays. "For January, I nominate the Golden Ratio, phi," he says. "Phi equals 1.618…, and since there’s no Jan. 61, we could celebrate it on Jan. 6." He'd like to see shindigs for Euler's number (Feb. 7), and Feigenbaum’s constant delta (April 6 — or maybe 7, if we're rounding up). Read more here. <a href="https://flip.it/oPmOKr" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://flip.it/oPmOKr</a><a href="https://flipboard.social/tags/PiDay" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PiDay</a> <a href="https://flipboard.social/tags/PiDay2024" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PiDay2024</a> <a href="https://flipboard.social/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://flipboard.social/tags/Food" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Food</a> <a href="https://flipboard.social/tags/Pie" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Pie</a> <a href="https://flipboard.social/tags/Culture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Culture</a> <a href="https://flipboard.social/tags/GoldenRatio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#GoldenRatio</a> <a href="https://flipboard.social/tags/PhiDay" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PhiDay</a>

Kid Mania📐 ☠️ <a href="https://mastodon.social/tags/goldenmean" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#goldenmean</a> <a href="https://mastodon.social/tags/goldenratio" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#goldenratio</a> <a href="https://mastodon.social/tags/phi" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#phi</a> <a href="https://mastodon.social/tags/oswald" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#oswald</a> <a href="https://mastodon.social/tags/jackruby" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#jackruby</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mastodon.social/tags/jfk" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#jfk</a>

Al Jazeera (unofficial)Have you ever noticed similarities between the movement of stars, specks of dust and flocks of birds? Do you pause to consider how mosaics in mosques are sim... <a href="https://www.youtube.com/watch?v=RHWHSx5IgQs" rel="nofollow noopener noreferrer" target="_blank">Can the universe be explained by the golden ratio? | Decoded</a>

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