Logo by mauxuam - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Check out the originating "3d Mandelbulb" thread here
 
*
Welcome, Guest. Please login or register. March 19, 2024, 03:27:56 AM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!



 
  Search  

  Slideshow  
rope 5e-900Mandelbrot set for f(z)=z²+c
rope 5e-900
Next Image
Description: Continuous iteration count coloured with "pseudo-distance-estimate" (based on gradient of iteration count).

Perturbation references calculated using MPFR for arbitrary precision floating point, with Newton's method to find new references to rebase glitched pixels when glitches are detected.  Deltas from the reference use extended precision long double to avoid exponent underflow.

Most of the code is C99 with OpenMP parallelization pragmas generated by a program written in Haskell, pthreads also distribute the work to multiple threads in a queue prioritised by the number of pixels needing each reference point.  The main program uses GLFW3 for the user interface, requiring OpenGL 2.1.

Series approximation uses 24 coefficients, cached for each exponent as long as the primary reference point is valid (close to the viewport) - zooming deeper only needs to calculate the extra iterations for the series.

Zoom technique: find an embedded Julia set, morph it into a tree, then an S, and then stripe of Ss.  The exponent at each manual morph decision point was roughly 1.5 times larger than the previous one.

Render time from scratch (no cached series approximation coefficients): 2h25m CPU time, spread over 4 cores.

Coordinates (also present in the PNG comment of the image):
Code:
real=-1.9999999991382701187664867263777990802315521777725699896559744332163282809190635876338689862252325486275625176234228599345356271638886256134858501887192790542028024935049951885407761891767298885150806301222775248925838511719275938509741075480277121921782935196497935309735482091452620516406034458393098999647940401559938022277208796123426942890238548831242642214390832843663278956233050479434756210424758074063274012884699785015713030693196664115930787808873909835082875486167322692191083088951521662394670382361640378899078207636966502200823315829897334623853239814830789027165894348552076936531680735018255850564942605475860412736727968473542239467786774761949850136542501097226763334458574697769205393465539695021109807324946639132668217325174136197587426527792772488452306526998495228499255820559468584627950009868491445852416867477767407138072890406102328444390308998869827191574700401134779144435335084576208608e+00
imag=5.4737655329230406244271237478004609407066488694580295427082121408648049051968347457532505196983460439747136933981356733123108522845595812535279088637906242300707715181703346635608401442786224018063857573459378429940709218143100603065686995530121072747340660182011443571732142526400428501016008337666314885447794156074780085580855962001303264064438172268797637297148218624160052530221780539761474767504612768556791208553163830221520758230484827443972845481581643582599593218102983020711688648349114250987759017516818299106792776958539806226515640144132951537057032176096824936409811037266760614805078065187070352947835163348804509613578525292574005998946394238930178306443929221654818682601799458479995018433479582270955818971685110188454320364119024820370323482104975364360877373269389038265094020494024196483674915643479481590748408113211854384934420560040206494997345159079315914533591630770590420769600290109583975e-20
radius=5e-900


Stats:
Total Favorities: 0 View Who Favorited
Filesize: 721.45kB
Height: 720 Width: 1280
Keywords: mandelbrot minimal rope 
Posted by: claude June 11, 2015, 03:17:09 AM

Rating: **** by 1 members.

Image Linking Codes
BB Code
Direct Link
Html Link
0 Members and 1 Guest are viewing this picture.
  Slideshow  

Comments (0) rss

Return to Gallery

Powered by SMF Gallery Pro

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.135 seconds with 26 queries. (Pretty URLs adds 0.005s, 1q)