Original file (500 × 2,000 pixels, file size: 185 KB, MIME type: image/jpeg )
Summary
Source code
ExponentialMap {
; Ultra Fractal transform code
; Vertical exponential transform .
; Make narrow high window ( say 100 X800 ), zoom , put point of interest at bottom .
; Turn on . Tweak with the 2 controls , and select appropriate width ( depends on image ,
; narrower for deeper zooms ).
; author : gerrit
: https : //fractalforums.org/share-a-fractal/22/the-mandelbrot-set-inside-out-or-unfurled-and-laid-flat/3303/new#new
global :
if ( 4 * # height < 3 * # width )
pixeldim = 3 / # magn / # height
else
pixeldim = 4 / # magn / # width
endif
w = # width * pixeldim
h = # height * pixeldim
cc = # center
c0 = cc - 1 i / 2 * h + 0 i * w / 2 - w / 4 * @ sh
b = w / h * log ( # magn ) * @ b
a = 1 i * w / b
transform :
if @ ison
c = # pixel
dc = a * ( exp ( -1 i * b / w * ( c - c0 )))
#pixel = c0+dc
endif
default :
title = "Exponential map"
param ison
caption = "On"
default = false
endparam
float param b
caption = "vert. control"
default = 1.2
endparam
float param sh
caption = "hor. shift"
default = 0
endparam
}
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attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original. https://creativecommons.org/licenses/by-sa/4.0 CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 true true English And this is what that M(3,1) Misiurewicz point looks like at 1E10 magnification (bottom) use the exponential map.
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Date/Time Thumbnail Dimensions User Comment
current 14:34, 5 February 2020 500 × 2,000 (185 KB) Soul windsurfer User created page with UploadWizard
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