On Wed, Dec 1, 2021 at 8:43 PM Harold Lane <hallane@earthlink.net> wrote:
Possible to make a Collatz fractal in Fractint? Just wondering. https://en.m.wikipedia.org/wiki/Collatz_conjecture -David W. Jones It might be possible. It would also depend on which view of the Collatz Conjecture's properties you want to display.
You can enter it as a regular escape fractal and that should work just fine. Since it is a one dimensional fractal it will be boring. The code below is my cut at it translated from Fracton into FractInt language. The image looks like a bunch of vertical stripes since as a one dimensional fractal it only changes in x. Fracton's histogram looked similar to the Wikipedia article except for a more pronounced dip that is barely noticeable in the Wikipedia pages. To get the histogram in FractInt, change the color map to a grayscale map and export the fractal image. Make a histogram of the image in Photoshop or some other image processing program. Collatz { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20211202_1223 passes=1 float=y center-mag=3.5/0/0.3809523857142857/1/0/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=300 inside=1 proximity=0 colors=000SNCTNCUODVPEWQFXRGYSHZTH`UIaVJbWKcXLdYMe\ ZMf_Ng`OiaPjbQkcRldRmeSnfTogUphVriWsjWtkXulYvmZwn_\ xo`zpaypaxo`wn_vm_ulZtkYsjXriXqhWpgVogUnfUmeTldSkc\ RibRhaQg`Pf_OeZOdZNcYMbXLaWL`VK_UJZTIYSIXRHWQGUPF0\ 00111333555666888AAABBBDDDFFFHHHIIIKKKMMMNNNPPPRRR\ TTTUUUWWWYYYZZZ```bbbdddeeegggiiijjjlllnnnpppooomm\ mllljjjhhhgggeeecccbbb```ZZZYYYWWWUUUTTTRRRPPPOOOM\ MMKKKJJJHHHFFFEEECCCAAA999777555444222000PFFQFFRGF\ SHFTIFVJFWKFXLFYMF_NF`OFaOEbPEcQEeREfSEgTEhUEjVEkW\ ElXEmXDnYDpZDq_Dr`DsaDubDvcDwdDxeDzfCyfCxeCwdCvcCu\ bCsaCr`Cq_Cp_CoZCmYDlXDkWDjVDiUDgTDfTDeSDdRDcQDbPD\ `OE_NEZMEYMEXLEVKEUJETIESHERGEPFF00K00L11M11N22O22\ P33Q33S44T44U55V66W66X77Z77_88`88a99b99cAAeAAfBBgC\ ChCCiDDjDDlEEmEEnFFoFFpGGqHHsHHrGGqGGpFFoFFnEEmEEl\ DDjDDiCChCCgBBfBBeAAdAAc99a88`88_77Z77Y66X66W55V55\ T44S44R33Q33P22O22N11M00K } frm:F_20211202_1223 { ; Enter a fractal formula here. z=floor(100*real(pixel)): if(z%2),z=3*z+1,else,z=z/2,endif, z>1 } -- Mike Frazier www.fracton.org