Xref: utzoo comp.theory:1390 sci.math:14599 alt.fractals:802 Path: utzoo!utgpu!cs.utexas.edu!tut.cis.ohio-state.edu!snorkelwacker.mit.edu!ai-lab!life!burley From: burley@geech.ai.mit.edu (Craig Burley) Newsgroups: comp.theory,sci.math,alt.fractals Subject: Re: High precision Mandelbrot set Message-ID: Date: 9 Jan 91 13:58:10 GMT References: <1991Jan8.142354.1732@pegasus.com> Sender: news@ai.mit.edu Organization: Free Software Foundation 545 Tech Square Cambridge, MA 02139 (617) 253-8568 Lines: 17 In-reply-to: shaw@pegasus.com's message of 8 Jan 91 14:23:54 GMT In article <1991Jan8.142354.1732@pegasus.com> shaw@pegasus.com (Sandy Shaw) writes: When one does a "zoom" on parts of the Mandelbrot set one reaches a point when due to the limitations of precision of the machine(usually 64 bit IEEE floating point) one can gain no further detail from the image. My question is : Is there there a way short of using an extended precision math package to gain further detail upon continuing the zoom? Perhaps some sort of renormalization? Any thoughts on this question or references would be greatly appreciated. Why can't you simply scale up the values (and the math accordingly)? I remember thinking up this approach a few years ago when first playing with the formulas, but now I can't really remember even the formulas, so I can't think through whether this is a stupid idea or not. -- James Craig Burley, Software Craftsperson burley@ai.mit.edu