Fractal visionaries and enthusiasts:  

Today's image shows a scene deep inside a hyperminibrot located on the north shore of East Valley of the HyperMandelbrot set.

The image rates a 7 both for its art and its math interest.  Since the scene lies inside a minibrot and minibrots are supposed to be empty inside, the math might have rated as much as a 9 if I had not used this trick several times before.

The name "In a HyperMinibrot" simply gives the location of the scene.

The calculation time of 1-1/2 minutes is already pretty fast, but even more time may be saved by visiting the web sites.

Under a brilliant sun, the temperature rose from a morning low here at Fractal Central of -2F -19C to a balmy afternoon high of 14F -10C, which kept the fractal cats near the heat radiators and the fractal humans near the hot coffee.

The next FOTD will be posted before too long.  Until whenever, take care, and why don't we end poverty once and for all by giving the poor people enough money to raise them to the middle class?

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

In_a_HyperMinibrot { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 float=y maxiter=4200
  center-mag=+0.2689640429736178/+0.0054866527972909\
  /8.939192e+011/1/105/0 params=0/0/0/0/1/0/1e-100/0
  inside=0 logmap=711 periodicity=0 mathtolerance=/1
  colors=00000H00I00K00M00O00Q00S00UZCz_Ev`Gs`Ip`Mm`\
  Qj`Ug`Zeccdhhcmmcqrhtvmzzz0065CAAJDKUGPcJYqNhzQozT\
  wzW`csadrbdqcdpceocencemcflcflcfkmg0rg0zm0zq0zz0zz\
  0giefideicdjbcjabj`ak_`kZZLh_Og_Qf_Te_Vd_Yc`_b`ba`\
  d``g_`iZaV9`_G`cM`gTopVloWjnXhmXfmYdlYbkZT6QU8RUAR\
  UCSVDSVFSVHTWITWKTWMUXNUXPUXRVYSVYUWYWWZXWZZXZ`X_a\
  X_cY_eY`fY`hZ`jZyX5xY6wY7vZ8uZ9u_At_Bs`Cr`DqaEqaFp\
  bGobHncIncJmdKldKkdLjeMjeNifOhfPggQggRfhSehTdiUciV\
  cjWbjXakY`kZMyuNxsOwrPvqQvpQunRtmSslTskUrjUqhVpgWp\
  fXoeYndYmbZma_l``k_Ir`Kq_Lq_Np_Op_Po_Ro_Sn_TnZVmZW\
  mZXlZZlZ_kZN3HO6JP9KQCLRFMSINTLPUOQVRRWUSXXTY_VZbW\
  _eX`hY71n94mB7lDAkFDjGFiIIhKLgMOfNQePTdRWcTZbU`aWc\
  `Yf__iZDYpFZoG_nH_mI`lJakKak`8_e9ci9fhFdhKcgPagU`f\
  Z_fcYehXemWdlXdlXclX_kZclXclYblYblYbkYakYakZakZ`kZ\
  `kZ64_76Z87Z99ZAAZBBZCDZDEZEFZFHZGIZHKZILZJMZKOZLP\
  ZMQZNSZOTZPVZQWZRXZSZZT_Z }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

END PARAMETER FILE=========================================