Thats a nice fractal Jim, thanks for posting it. The coloring is excellent as well.

For such a deep fractal the number of arms stays reasonable until the end. I zoomed in all the way to the minibrot at a magnification of 1.1e+107. The minibrot is hard to display in a small image. To give a fair representation of the deepest zoom it would have to be rendered at a huge size with lots of anti-aliasing. At maximum depth it draws about 3 times slower than the original. Here is an image of the minibrot:

mag = 1.1e+107 http://dl.dropbox.com/u/33642054/image/cf107_640_2.jpg

Here are a few interesting shallower zooms:

mag = 1.3e+100 http://dl.dropbox.com/u/33642054/image/cf100b_640_2.jpg

mag = 2.1e+101 http://dl.dropbox.com/u/33642054/image/cf101_640_2.jpg

There was also interesting stuff at mag = 7.7e+97, 3.1e+98, 2.7e+99, and 8.9e+104.

Here is the par file for the deepest zoom. It has an accurate center positon that will work for the other magnifications. I had to increase the max iterations but nothing else should be changed.

CF_Minibrot { ; Exported from Fracton.

 ; Zoom to minibrot of FOTD for July 5, 2011

 ; Challenger_Fractal by Jim Muth

 reset=2004 type=mandel passes=1 float=y

 center-mag=-0.174987976372330362505315412880856608\

 73308706813150940739022160997776415279220633903858\

 03553270431371319773948602672872984595e1/0.3711275\

 39002336553806013690039327923739521658716180513365\

 11210925452164368469415613812000217407767078194902\

 51153806663796675e-14/1.137777792e+107/1/-112.5/0

 params=0/0/0/0/0/0/0/0/0/0 maxiter=250000

 inside=0 bailout=25

 colors=000QDXPCWOBWNAVNAVM9UL8UK7TJ7SJ6SI5RH5RG4QF\

 3PF2PE2OD1OC0NC0NE1PF1RH1TI1VJ1XL1YM1_N1aP2cQ2eR2g\

 T2hU2jV2lX2nY2p_1rZ2qZ3pY4oY5nX6mX7lW8kW8jV9iVAhVB\

 gUCfUDeTEdTEcSFbSGaRH`RI_QJZQKYQKXPLWPMVONUOOTNPSN\

 QRMRQMRPMSOLTNLUMKVLKWKJXJJXIIYHIZGH_FH`EHaDGbCGbB\

 FcAFd9Ee8Ef7Dg6Dh5Dh4Ei5Fi6Gi7Hj8Ij9JjAKkBLkCMlDNl\

 EOmFPmGPmHQmIRmJSmKTmLUmMVm`Um_TmZSmZRmYRmYIzPKzPM\

 zONzOSzNXzNazNfzNkzMpzMuzMzzMvzNrzOnzPjzQfQRcSS_UT\

 WWUSYVO_WLaXHcYDeZ9g_5i`2k`3gX3dU4`R4YN5UK5RH6ND6K\

 A7G77D4CGAGJFKLKOOQSRVXT_`WddZjh`olctoeymeykfxifxg\

 gwegwchvahuZitYjsWjrViqVfpVcoV`mVYkVViVSgVPeVMdVJb\

 VG`VDZVAXV7VV5UW6TX6SY6SZ6R_7R_7Q`7Qa7Pb8Pc8Oc8Od8\

 Ne8Mf9Mg9Lh9Lh9KiAKjAJkAJlAIlAIlcCi_EfXGcTH`QJYMLV\

 JMSFOPCQM8RJ5TG2UF6TE9TDDTCGTCKTBNTART9US8YS8`S7dS\

 6gS5kS5nSBmUHmWNlYTl_Zkadkcjjepjgvjhplgjmgdof_pfUr\

 eOsegYTgZUh_WiaYjb_kc`leb }