; Date: Mon, 27 Jun 2005 11:48:39 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-06-05 (Ground-Level Zexpe [7]) ; Id: <1.5.4.16.20050627115029.2c0f2d9a@pop.mindspring.com> ; --------- ; ; FOTD -- June 27, 2005 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is a scene in the Zexpe fractal, which is a simple ; Mandeloid, named by Lee Skinner, with epsilon acting as the ; exponent of Z. To add a bit of interest I chose the fractal as ; it exists at ground level of the hyperspiral, and zoomed in on a ; valley. ; ; In these irregular fractals, it is hard to tell at first glance ; whether a valley is of an 'East' variety, a 'Seahorse' variety, ; or some other variety. The only way is to actually examine the ; inner details of the valley. ; ; The valley I chose in today's parent fractal proved to be of the ; 'East' variety, with abandoned bits and pieces of elephants ; strewn about. I chose today's particular midget because of its ; unusual 2-4-2-4 symmetry. ; ; The name "Ground-Level Zexpe" refers to the location of the ; parent fractal on the hyperspiral. The rating of a 7 reflects ; the surprise I felt on seeing such a symmetrical midget in a ; fractal so far removed from integer value. The render time of 5 ; minutes is within reason, but reason varies, and for the ; convenience of those who find a 5-minute wait unreasonable, the ; image has been or soon will be posted on the FOTD web site at: ; ; ; ; from where it may be conveniently downloaded. ; ; Now I must investigate the new triternion formula. ; ; The high temperature of 88F 31C was barely acceptable to the ; fractal cats here at Fractal Central on Sunday. They spent the ; full afternoon in the holly thicket, but demanded extra tuna ; when they came inside for the night. Today is starting a bit ; cooler and with much more clouds, but it is dry. If it stays ; dry, the duo should have a good day. My day will turn good when ; the work is behind me and the fractal for tomorrow is in the ; bag. Until the next FOTD appears in 24 hours, take care, and ; great things lie just beneath the surface, but where is the ; surface? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Ground-Level_Zexpe { ; time=0:05:17.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.20582645949934450/+0.327273605449370\ 60/2.043985e+007/1/80/-2.42403299516302795e-008 params=2.71828182845905/0/0/0 float=y maxiter=1500 inside=0 logmap=99 periodicity=10 colors=000mQDjRJhSPeTVcU`aVeZWaWXZUYVRZUO_TM_SQ_TT\ _UWZYZZZaYcdYhgYkiZjk_fl`cna_obXqbTrbQtbMu`JtZIrWH\ pRGnNGkIFhDEe8Db5D`9G_DIZGKYKNXNPWPRVSUUUWTXYS_`Rb\ bQedPhgOkiNmkTlgYkdbkaNgY8dV5WO3NISGZoAnh9cb9UW9KQ\ 9AK90JH1JO1JV2Ia2Ih3Io3Iv3Jr6Jo9JlBJiEKeGKbJK_LKXO\ KUQMWTNYWOZZQ`aRacScfUdiVflWgnYiqZjt_lw`myajraglae\ fab`b`VbYPbWJbTDbR7G_aEZ_CZYAZW8ZU7ZTGdYPjbXpgXohX\ oiXnjXnkXmlXmmYllYkkYkjYjiZjhZigZifZheZgd_gc_fb_fa\ _e`_e`_e`jlDiiCigCheChcCh`CgZCgXCfVCfSCfQCeOCeMCeK\ CgIFhGIiEKjCNlAQm8Sn6Vo4Yp2_o7YnCWmGUmLSlQQkUOjZMj\ cKigIhlGhpFioIjnKkmMklPlkRmjTmiWnhYog_ofbpedqdfqci\ rbksamsaopbknbhkcdicafdYddVbdS_eOYeLVfHTfERfBVUYYI\ saFldCeg9Zj7Tk9RkAPkBOkCMlDKlEJlFHlGGZRVLai7kwIrWT\ y4rv3nv4kv4hv4dv4av5Zv5Vv5Sv5Pv6Lw6Ix6Fy6Cz6EzCGzI\ HzOJzULzZMzdOzjQzpRzuPzpOzkNzgLzbKzZJzUHzPGzLFzGEz\ CTzNfzXtzf2zY2zW2zV2zU2zT } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|