FOTD -- January 20, 2013 (Rating ?) Fractal visionaries and enthusiasts: Fractal trees are nothing new in the FOTD series, but I have never posted a tree with such simplicity as is seen in today's image. The scene is a Julia set of the (-Z)^(1.618034)+C Julibrot. The corresponding Mandelbrot point lies where the X-axis meets the western edge of the main bud of the Mandeloid. The full Julia set resembles an 'infinity' symbol, a figure eight lying on its side, with an infinity of fractal trees along its edge. The tree in today's image is the largest one, which lies on the X-axis on the east edge of the figure eight. The simplicity was created by lowering the maxiter to 112. This cuts off the finer tree branches, leaving only the most basic tree shape. The name "Fire Tree" refers to the color of the tree. The calculation time of 15 seconds is due to the unusually small maxiter. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition renderings are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> A sunny day with a temperature of 46F +8C was spoiled by a blustery wind here at Fractal Central today. The fractal cat spent most of the time basking in the sun on his shelf, watching things blowing by in the wind. The humans took it easy most of the day. The next FOTD will be posted in a reasonable time. Until then, take care, and don't wait for a second coming. It isn't coming. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Fire_Tree { ; time=0:00:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=0.2398/0/15/\ 0.922/90/0 params=90/0/90/0/-1.15/0/0/0/1.618034/0 float=y maxiter=112 inside=255 logmap=69 periodicity=6 colors=0000mzqNIqMFpMDpLAkK7lK5mzwnyvoxupwtqvsrurs\ tqtspsrirqbpqVopOnoHmlAki9jd8i_7hV6gQ5eK4dF3cA2b51\ a01`13_25Z37Y39X4BW5DW5FV6HU7JT8LS8NR9PQARQATYCPdD\ LkEHiiEkkFllFnnFooGqpGrrGtsHuuHwvHxwHwuLwtOvsRvrUu\ qXup_uoctnftmisllskosjrofnkbjg_gcWc_S_XPXUVYR_ZOd_\ Mi`JnaGsbExbJrdNmeRgfVbgZXhbSifNjdMgcLebKcaJ``IZZH\ XYGVXFSWEQVDOUDMXEK_EJbEIeEGhEFkEEgFGcFH`FIXGJTGKQ\ GLMHNJHOFHPBIQ8IR4IS1IT7ORCTQHZPMcORhNWnM`sLexK`rY\ WmjRhwPemOccNaULZKKXAJV1S`8`eFhkMqpTyuZtt`ptalsbhs\ cdrd_rfWqgSqhOpiKpjLkdLf_LaVLYQMTLMOGMJBMF6VR5cb4k\ m4ik8hiBggFfeIecMdaPc`TaZW`X__VbZTfYRiXPmWOpaNqfMq\ kMqpLruKrzKrwMltOfqQ`nSVlTPiVJfXDcZ7a_1bZ3cY5dY6eX\ 8eW9fWBgVChVEhUFiTHjTIkSKkSLgRNdROaRPZQRWQSTQTQPUM\ PWJPXGOYDOZAO`7Na4Nb1Nc3S_5WW7`S9dPBiLDmHFrDGvAIr9\ Kn9Mj8Og8Pc8R_7TW7VT6XP6YL6_H5aE5cA4e64f34d53c73b9\ 3aB3`D3_E3YG2XI2WK2VM20mz } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================