
Titan I by Ross Hilbert on Flickr.
A Mobius Pattern IFS fractal formed from a set of Mobius transformations viewed in the context of a hyperbolic tiling.
A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
The method used to produce the Mobius Pattern is based on information in the book “Indra’s Pearls  The Vision of Felix Klein” by David Mumford, Caroline Series, and David Wright. For additional details, see David Wright’s “Indra’s Pearls” site (klein.math.okstate.edu/IndrasPearls/).
1 year ago / 128 notes
 dubg888 reblogged this from oxane
 icepool likes this
 jackbox reblogged this from oxane
 mahndahpanda likes this
 sinfuldelightful reblogged this from hewhowalksal0n3
 hewhowalksal0n3 reblogged this from oxane
 ssregalia likes this
 marsandmare likes this
 grayshaisonlyusingthisforella likes this
 uselessshoelacefacts reblogged this from geometricaesthetic
 ceaulagefiles reblogged this from igotgassed
 igotgassed reblogged this from oxane
 athantir likes this
 f0rmalina reblogged this from urlaresilenzio
 urlaresilenzio reblogged this from geometricaesthetic
 konstanzaangelova likes this
 themoonsugargirl likes this
 uhmeyzingdesigns reblogged this from geometricaesthetic and added:
love
 neutrinoprism likes this
 yeahfractals reblogged this from oxane
 symplistic likes this
 annaliliaperez likes this
 jubsea reblogged this from 35frames
 jubsea likes this
 35frames reblogged this from geometricaesthetic
 captainmitts likes this
 unchartedaether likes this
 forehanddeath11 likes this
 shadybear reblogged this from geometricaesthetic
 shadybear likes this
 puzzleswhat likes this
 titiswhatitis likes this
 ovipositor reblogged this from geometricaesthetic
 solomonroskin reblogged this from geometricaesthetic
 solomonroskin likes this
 marioasis reblogged this from geometricaesthetic
 nbcomix likes this
 nbcomix reblogged this from geometricaesthetic
 geometricloci likes this
 purpl3hello reblogged this from geometricaesthetic
 cawsima reblogged this from geometricaesthetic
 geometricaesthetic reblogged this from oxane
 tllyl reblogged this from oxane
 forgottencontext likes this
 lesangetlereve reblogged this from oxane
 lesangetlereve likes this
 kilse reblogged this from mrfrivolous
 joetrypants reblogged this from oxane
 orangefabricbeyondsunlight reblogged this from oxane
 19529133824938 reblogged this from oxane
 Show more notes