############################################################ Jim Muth's October 10, 2004 FOTD, 'Twinship' "...splits along [the Mandelbrot set's] negative real axis." "How does the set behave where the split 'begins'?" was the question that immediately came to mind. So I did some zooms into his FOTD where that seemed to occur. Here is the result of that exploration. The color map has been rotated to bring out both the linear and the curved tendril shapes in the image. Where the split in the the Mandelbrot set's negative real axis happens is shown pretty clearly. There happen to be no substantial miniature Mandelbrot sets at this particular magnification, but that allows the other elements of the fractal to be the central features of the image. In an effort to entice you into creating this quickly- drawn fractal I will give a rough description. The overall figure is somewhat dark and bloody, with malevolent medusa-like tendrils dominating the image. This effect is somewhat relieved by the delicate grass-green filigree spine 'supporting' the bloody medusa. - Hal Lane ######################### # hallane@earthlink.net # ######################### START PARAMETER FILE====================================== Twinship2 { ; Hal Lane Oct 10,'04 3:17 P400 1024x768 ; Zoom into Jim Muth's Oct 10, '04 ; FOTD. Color map rotated to bring out ; both linear and curved tendril shapes. reset=2003 type=cmplxmarksmand passes=1 center-mag=-1.05228911985626800/-0.00000000000000001\ /1241177/1/-90/3.88578058618804789e-016 params=0/0/1.0955/0 float=y maxiter=4500 bailout=1000 inside=0 logmap=34 periodicity=10 colors=000hvx<4>mvnnvlovj<3>swrtwtuxvvyv<3>zzlzzizzf\ <2>zzZzzdzzXzzPzzC<3>zzX<7>zzgzzizzj<2>zznzzpzzo<5>z\ zozzozzo<3>zzo<3>zzbzz_zzX<2>zzO<2>zzb<6>zzlzznzzo<2\

zztzzuzzy<3>zzmzzjzzgzzdzze<3>zz_zzYzzX<3>zzRYvl<3>\ SobRm_PkYOiVKjM<3>WbkZ`mdYm<3>WbmTdmRemPdoAcpHcnNciU\ ccYcY_ZZaU_bR`<3>iadjdelgfmjgomhpnipoiok`ojXohS<2>iV\ VoTX<3>`QTXPSSMQ<4>XSRYURZVR<2>aYRaZR``Q<3>XfPWhOVjO\ UkNTmNLpDPqISnNVjSZeXaaabIQcQYdYehakgdmedl<3>HdT8cN<\ 7>QjRSkSUlS<3>apUdqS<3>apZ`o``oa_occraatc_odYme<3>Qm\ iOmjMmkKmlImm<3>PmjRmiTmh<2>Ymfcmi<3>UmcSmaPm`<3>GmV\ EqUWuc_xscvz<3>gvz }

END PARAMETER FILE========================================= Jim's original fractal: START PARAMETER FILE======================================= Twinship { ; time=0:03:00.92--SF5 on a P200 reset=2003 type=cmplxmarksmand passes=1 center-mag=-1.05052918274505500/0/378.5591/1/-90/\ 3.88578058618804789e-016 params=0/0/1.0955/0 float=y maxiter=4500 bailout=1000 inside=0 logmap=34 periodicity=10 colors=000YvlWtjVrgUqeSobRm_PkYOiVKjMNhTQfZTdeWbkZ\ `mdYma_m_`mYamWbmTdmRemPdoAcpHcnNciUccYcY_ZZaU_bR`\ dUaeXbgZciadjdelgfmjgomhpnipoiok`ojXohSmcTk_UiVVoT\ XkSWgRVdRU`QTXPSSMQTORUPRVQRWRRXSRYURZVR_WR`XRaYRa\ ZR``Q_bQZcPYePXfPWhOVjOUkNTmNLpDPqISnNVjSZeXaaabIQ\ cQYdYehakgdmedl_dgTdbNdYHdT8cNBdODeOFfPHgPJhQLiQNj\ RQjRSkSUlSWmTYnT_oUapUdqScpUbpWbpXapZ`o``oa_occraa\ tc_odYmeWmfUmgSmhQmiOmjMmkKmlImmKmlMmkOmjPmjRmiTmh\ UmhWmgYmfcmi`mgZmfWmdUmcSmaPm`NmZLmYImWGmVEqUWuc_x\ scvzdvzevzfvzgvzhvxivvjvtkvrlvpmvnnvlovjpvlqvnrvps\ wrtwtuxvvyvwztxzqyznzzlzzizzfzzdzzazzZzzdzzXzzPzzC\ zzIzzNzzSzzXzzZzz_zzazzbzzczzezzfzzgzzizzjzzkzzmzz\ nzzpzzozzozzozzozzozzozzozzozzozzozzozzozzozzkzzhz\ zezzbzz_zzXzzUzzRzzOzzTzzYzzbzzdzzezzgzzhzzjzzkzzl\ zznzzozzqzzrzztzzuzzyzzvzzszzpzzmzzjzzgzzdzzezzczz\ bzz`zz_zzYzzXzzVzzUzzSzzR } END PARAMETER FILE========================================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com). Version: 6.0.771 / Virus Database: 518 - Release Date: 9/28/04