Hyperbolic geometry | Circle packing | Fractals

Apollonian gasket

In mathematics, an Apollonian gasket or Apollonian net is a fractal generated by starting with a triple of circles, each tangent to the other two, and successively filling in more circles, each tangent to another three. It is named after Greek mathematician Apollonius of Perga. (Wikipedia).

Apollonian gasket
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Apollo 12 on the Ocean of Storms

Ultra high-resolution photos of this historic second manned mission to the moon, including breathtaking photos of the lunar surface. Credit NASA.

From playlist Earth And Its Moon

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Teach Astronomy - Pluto

http://www.teachastronomy.com/ Pluto is the outer sentinel of the solar system. With a size of only 2,300 kilometers, it is half the size of Mercury and two-thirds the size of Earth's moon. Its mean distance from the sun is 39 astronomical units, but it has a highly eccentric orbit with

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Sabyasachi Mukherjee: Interbreeding in conformal dynamics, and its applications near and far

HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM

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Saturn is the crown jewel of the solar system, beautiful and fascinating. It is a gas giant and has a broad set of rings made of ice particles. Moons create gaps in the rings via their gravity. Saturn has dozens of moons, including Titan, which is as big as Mercury and has a thick atmosphe

From playlist Astronomy

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We study the problem of classifying Kleinian groups via the topology of their limit sets. In particular, we are interested in one-ended convex-cocompact Kleinian groups where each piece in the JSJ decomposition is a free group, and we describe interesting examples in this situation. In ce

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

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From playlist ANTIQUE ENGINES

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Studying Apollonian Circle Packings using Group Theory

This video is in response to a colleague who asked for short videos about how we use group theory in our research. One of my interests is Apollonian circle packings. Some links: Wikipedia: https://en.wikipedia.org/wiki/Apollonian_gasket An article in New Scientist by Dana Mackenzie: ht

From playlist Joy of Mathematics

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From playlist Analysis and Beyond

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From playlist Wolfram Demonstrations Project

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From playlist Summer of Math Exposition 2 videos

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From playlist STIRLING HOT AIR ENGINES

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Claim your SPECIAL OFFER for MagellanTV here: https://try.magellantv.com/curiousdroid. Start your free trial TODAY so you can watch The Saturn V Story about the most powerful rocket ever made, and the rest of MagellanTV’s science collection: https://www.magellantv.com/video/saturn-v-story

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Apollonian packings and the quintessential thin group - Elena Fuchs

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From playlist My Collaborators

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The dynamics of Apollonian circle packings by Sneha Chaubey

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From playlist Smooth And Homogeneous Dynamics

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Remembering Apollo

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Related pages

Hereditarily finite set | Apollonian network | Sierpiński triangle | Ford circle | Apollonian sphere packing | Point at infinity | Hyperbolic geometry | Alexander Bogomolny | Pappus chain | Markov number | Descartes' theorem | Kleinian group | Mathematics | Dihedral group | Recurrence relation | Dihedral symmetry in three dimensions | Number theory | Möbius transformation | Hausdorff dimension | Vieta jumping | Curvature | Degeneracy (mathematics) | Apollonius of Perga | Indra's Pearls (book) | Fractal | Self-similarity | Tangent