Title: 2d Mandelbrot in Mandelbulb?
Post by: avvie on February 12, 2010, 08:07:25 PM
I found something by accident which seems quite interesting .. a little to the left from the center is what looks like very similar to the 2d mandelbrot fractal .. If I play a little with it i am sure I will find the exact shape .. but anyway.. the I mage I have is a bit large for this site so heres a direct link to the image
http://i46.tinypic.com/zjgftd.jpg
Title: Re: 2d Mandelbrot in Mandelbulb?
Post by: Timeroot on February 12, 2010, 08:18:32 PM
Hmm, that does look interesting. What program are you using? Can you provide some type of parameter files or (just the parameters) so that others can find it? I would like to point out that it might be a "Perpendicular Mandelbrot", the slice down the second order Mandelbulb. More would need to be sliced off in order to tell... Cool find! (And welcome to the forums! ;D)
Title: Re: 2d Mandelbrot in Mandelbulb?
Post by: avvie on February 13, 2010, 04:08:14 AM
Thanks man! I think its a crossection of plains not perceivable due to detail .. but bad coloring sometimes does help :D I am using Ultra fractal 5.... Mbulb1 { ::bUOtsgn2Ni12OOuNS03Hg5fww5lEMTLLSRKJnBEIX6ZBC2ZSmN9DBYxitBtEltyQdJSyub3f 9bVkUSUyNCW9ErikHeYxiVxSFdysBp+7f7b2sZocQrEb/8hz6DktbeqMf4kgESZbOpKPeaQk EnuRLvq66FEcCZdq8yhexW5lLlqPQ3Ri2RDJhf4e5ly8NfW+1y6PQ2RStazC+naVZ9pzl9za /PIQfQ21rqVza3+23YWIDvyktDlN1itfCVtBoWTrMrc4KQuwNVqhTN5iqz6hyWZf/mhOZdfr sTVPIuq6f7bqkttl1HtYBaVdiwgwoUKLiFnw3dHIFGmyC5Ee6mK5xaR0bfTRTHgp0MrK5zl4 0ohbaVdZnUZfV0UUspoUrqlVoR7z/jnKbjuP4cR12Nwi0dVs9P+lvEdPfLiQ7jn7VDdlHF1N gwgqHs222XA7Ju9IBA6P2fq5py6iGbfVNXATc/ASYLMF2DshrtKxnl15KNechdcO/oyBibQ/ E0j4POBUf3veVjDubBIR3DEHPk2Ed/mX+v03ltF6sVfuHW9FjkBj8fdWC2gagqzjtvRXmLu/ j7+FoLJeKZnGcG06OY2+lmy6B8UpdrrnX6KFh7CHl+zv6ka6OUOYM0xWYGt7sQs7DySdz5Bj Lp1WNI7GmwyIZxyObrC00BCZN194YxDb+uwg0RdwMAd0deDDnDxiRbzT45uZBqafqTgzLvEO zAjdqZKwB79fUs9fv5iUfW1jbSZW2ZwwdVwc7jyazpIRdH3K2nJ1jnWm2StG9WxJfeoBHdv1 71N/+BVrg/x7YORlE8DF0AnKwPYQC4RnGSfvKfGBgkHKrdrAIgLiTys81g3uU7IEu6y8/8My 4pDCDBs93pK0qshZX5+2TqO1ssdzGQdbf4UsH8geBbWfUrg2WbdTXurt8ZFOktP/+rv/l3/E aELrxD7RHRcD8V3tHoRmG8KoJpk9wNXjn0zXhTtY8oNGtxDv8kw5HkJrGvDdzHB3uNa9V8Kv ZwdNDit89BpJ7TIgrGNhzIk4UOLivjx/hv5OSc4DPEl4Nk9TDBGhJi2P8NEGhRf4h/OkoRQQ H7lCYRD3NdJHidB3VFfBiM0CGawdDtHtiIzl7MN006uew0mQRiDtITmLjURXDEDkadsRFHkQ grZZq1caaqVFmhOPdanJo/8wjmHe0hhKRgx6ZEHaaFeTlYCP9jHgwDnHUjKxTodTc5lxLmog b/7hQTXJGAfeCs5Vn9awzswPDBzfFYuVYSUmXCh5m3cZNVwFEA16cHENQwmOIvBk3BNEQrNv bzUcutm515WCMK10Va781G3bxVDUVtgr97Kg15b7/ruhv9KEAFCi+df32NFP+SRtoMH2t2Ji +q6mMxnayMrECw5hZ68zmWojwPVJ2WVVEAh5/eIB0j/oeA05y3AtCu84RItaXZmJT5oOYKQC kiDVjZLAtVN5QWs7LvshE7BQvCCiQoRMesTDm731EzNA7/kwkRNVySIdY7YUDUlECVKhYl/q JAjTZpJJ8nA7t0tRCyLzUTInfuq66oDlledtnsOAoo652pxeUWVJn7qCyHFGwnnqu5JMuF3J eCOLxbPxTfJjDUdRp7Fpe7eIXM84h+Z0L0yjhu4mjmgwl2gu+wF7/q2wJuCR/CFheYRWhFxh 18876JzTvql4jFRQpTbMEO6cA/REprZH1HOqPcgAmAxb+AkRrYY0a8i8xLaxWvGmdUUQiPFZ rwjtGP2KrHznigQMEP1HQ+KA5viJk7zRuPgcR0+goFAGfrRMeNJj9BM2HwYBNNgs2KmsikJr BMxHwkVWxEBPIm6zx0V4luGvUBdhVEHAfGxUBZfQ8SD5+VYu/VMk7F0ZM3vEz9io4A+SeSCv 1YSu5CDoxDWT/e4CypBM4MapJlczdHyN4SEMPcx+9PYQshrQ8gIySSTXjM91uWSXAO1AuHyw tJ4VqrMHRvi54mbUgmUPkx+Jr5NcxKMY/SHXy67WE2rxb8OkH84Y8oJCODyLmuymwfFmzvh5 w1J/TSupQrbIPHe6WAx69hp2mSjCCjpNdJRdZeF/MUlVn8d/2A8Qz39wJZezT9j9DZYmTvkB hwDnfGzF8YBX6mjwYqV2m2kpALSZkwEghW1Y6IIb3UpWNHLQFJ2skNHtpasJNbh6/c+pmyWM MZxL2taMFaAPf2KZnrs6wcrx9O084MzBpDzdoNRHyLhlE3M4jCdAoxaSohTtJiEHCH04j9cv ZCTKbaqtvSJMw8UyuRJ0T+4kgDA/Oh3Qb3B/uqqx+mLATsyOhtWMQEqvCBe6R3gcnjmWpjLk O4JhbopFu+sdtsv0w0kIsVRCVLX2XeQrIOjjmgrKZudn3LwIerpR4wkAWcq43KKgiyNywjHv js7OqR4FxdRzggvckx3FZnIwW3tMd/JiJZuhh0ZLjji05TTN1jlUP7iR4ovwEFpeUcElpXQr pWOaa6IYsVaBBpeWDklR3wyoRDZkHFj8pY0IFd4E5zyoVGyoZKGNTxoJKOixCWGNiGSR2NUk NSRmjiOQY+sk5bIZ+UktiiLKUQzmZJbhhktgiMfKydU0Chjl8RWy9MkcfKy9pIfkiOewXxS+ shkPTR+CKydU0BR/JuPLjvxQGPSxYPKGv6STsPLj9NkxroY8MFjXclJeBLjXYIjtLVZdPUyj 93Oi/vuCIGu2WPw8PV7hBZdusLP4cme6nqdvqQeWPAFp0ce4/DQgqdYLAAqUid4uxa6uvsDq w2Vyz0vibq+vma9V3viz+7smS0M93IcxqmTP2M+bKKl9jx4aG/3KF1ZiszHUdDjR0d/EIXMd 3f7owliyG/euU0ZTCUz3owjPU10Mca7qCXvp8P/ew2GIhuel5h1HD2L/RtYIT/Xs1zd6n0BP DG6cEIzhUvhmGfhy6c1zwDoMLggT2zSphOtESoTfaK0OK1pnySM/CXTXsEeCLx1TUSqT9eKh Fzg3b4+Fx+rLYLtDPc6HIT5wQ/fAE58MNB== }
Title: Re: 2d Mandelbrot in Mandelbulb?
Post by: bib on February 14, 2010, 06:27:24 PM
I seriously doubt you could get a 2D zē+c M set from a cut in a 8+ order Mbulb...
Title: Re: 2d Mandelbrot in Mandelbulb?
Post by: Timeroot on February 14, 2010, 08:45:43 PM
bib, did you look at the picture? It certainly looks like one... or perhaps more like the slice perpendicular to it in the seconds order Mbulb... but it still looks a lot like both!
Title: Re: 2d Mandelbrot in Mandelbulb?
Post by: bib on February 15, 2010, 09:57:08 AM
Yes I looked at the picture. It looks similar to the 2D Mset simply because the 2D z^8+c looks like the z^2+c.
Anyway, if you manage to find a cut of the 8th order Mandelbulb that shows exactly the 2D M Set I would be very curious to see it.
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