"A Composition Of Geometric Planes"
by West_coaster07
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Description
"A Composition Of Geometric Planes" Please Zoom
For some people it just wouldn't be the same if they couldn't analyse the numbers and how to's, such as:
where
p is the period,
c is the point to be estimated,
Pc(z) is the complex quadratic polynomial Pc(z) = z2 + c
is the p-fold iteration of , starting with
z0 is any of the p points that make the attractor of the iterations of starting with ; z0 satisfies ,
, , and are various derivatives of , evaluated at z0.
Analogous to the exterior case, once b is found, we know that all points within the distance of b/4 from c are inside the Mandelbrot set.
There are two practical problems with the interior distance estimate: first, we need to find z0 precisely, and second, we need to find p precisely. The problem with z0 is that the convergence to z0 by iterating Pc(z) requires, theoretically, an infinite number of operations. etc
"OR"
For myself and a few others I'm sure, we just punch in different numbers and sometimes we get something we like!!!!
Started with the Param from Refa 1 (Colors) and I just started changing and adding.
MB3D
Mandelbulb3Dv17{
T......1...q5...ET...2A....znA76lRJ0.Do73ZiymV/Ed95TqkFWVu1dYzXLtgalycawKjike0/k
................................ZxwTcKs7.12........Y./..................y.2.....
................/M/1/....6kf/...79....E0.....2EWJ.xtAObD/.UrbNID...m/xa21g1.OaNa
zE....cD/2../2.........../................................U0.....y1...sD...../..
.wXaNadD.QXV8dhwfu1..........8GOkuJEZPRjVbZ1KdMk0o9.rMcGO9zey6ui2nJEZPRjQj9lQ3It
KrnKd/fL/JipxIP/iUYqmjeD.....y1C.5............kD/2....sD0.kz....................
...........wzA6U.i1...sD....zUJRU7.yp/a.MO5M0UnRU7.qr/a.sV5M0UFSU7..............
................lzzztwzzz9UW.s5.7....61...UN....m.LK6c3..V.2....J....g14..EiJniX
...U.ydelyjeYFnzTeOgzf8No...nc..zzzz.MQizccZWGyD7EdGkxmWcz1...........k.8.kXWF1.
QvM93P58iz9GMmnWK2zwz0........../MU0...../.skndRjg/pzaHbG7eFT5uj..........E7KwU.
.0sz.MxuvBTuCfujKjySnbiney9..........oF6D6.U..2...........Um3yuedc8tz42Ra9hwxv.k
3Ql3w12../...........oklrlkCx9yjW9wTJHz2Vz1...uBZ.U7Eg..zzFoTu2.oQm2.szDnueM.YXB
b.EzTt6Ul/k6Uk/.Qs5crI0.a.l0..bTUSH7.M029..ly/uBZ.U7Eg..Mw5crI0.a.l0.kqTUSH7.M02
9..kz/uBZ.U7Eg.....crI0.zzFoTu2.yzngi84.xzZX.45..I2J7pWJZ7LOo3qQL/Z9e/rN........
E6E..M....E.....I....c....kHXFLMcJ4NmxaP7NoI....m.........................U/4MU/
4M.................../........zD................................................
..............................................zD................................
.....................2.....3....3....w3IjlKS4x4PYZaPb/..........................
.............................E1E................................................
................................................................................
................................E....E....k...../pKMuZaPb/WEjV5.m/..............
............5g..........................kz1........oz........M/E................
................................................................................
.........................................../....I....c....EHZtqNZ7rA.I5PV/.IjR5.
..........................U/4MU/4M................././.........E..........2.....
...../.......k/k........Q.A........5.1..........................................
.....................................................2.....3..../....wZFjl4NdtqN
m.UQ............................6..............................E........kz1.....
...wz.........yD........cz9.....................b210gmVKIzXyyd4joB7ezoAnAnAnAnyD
........kz1...................................................../....E/...U/....
TVqPk34Ph31.............................................................kzXaNaNa
NaNqz0........zDOaNaNaNatyXaNaNaNaNizcNaNaNaNawD................................
............................................................................}
Comments (30)
Faemike55
Very cool work and description both are excellent
jocko500
wonderful looking work
Glendaw
Excellent outcome and description. Awesome shape,colors and lighting. Zoom is a must to catch all the details. Fantastic work.
greyone
Marvelous serpinski work. The worlds of triangles can present fascinating images.
miztere
nice fractal
vaggabondd
looks like a lot of math went into this cool picture lol. nice job
peedy
I am one of the punching kind, ;-P Beautiful fractal. Corrie
jayfar
I quite like this.
Lenord
Thanks to the Programmers of the various Applications like MB3D, Mandelbulber, Incendia etc. us normal people don't need to be fluent in Fractal Math to Create. We can just Plug and Play, although a good understanding of the X,Y,Z's of Geometry is a Plus. Super Octahedron/Menger Hybrid Peace
tofi
An excellent presentation! The designs here are wonderful and composed with care and precision! Wonderful symmetry! Love the 3D look to this!
fallen21
Awesome work.
Jean_C
Splendid virtual architecture!
MrsRatbag
It's all way over my head. I just like the wonderful shapes and colours, the intricate details, and the fact that it looks like a 3D object...well done!
densa
beautiful shapes
dochtersions
Very nice, with lovely colors also on the background. Zoom is a must.
pat40
Very Interesting.
drifterlee
Very cool work!!!!!
flavia49
wonderful
kbrog
Very cool geometric fractal, great work! :)
gunsan
Wonderful geometric fractal!
kepp
superb image nice 3d effect excellent work
bakr
wonderful work
moochagoo
Very good fractal work.
clbsmiley
Sierpinski Sieve Pyramid. Click fearlessly!!
JuliSonne
like an optical illusion .... very good
npauling
What a great shape you have created with all these numbers. An excellent fractal.
jeroni
beautiful, love the colors and lighting excellent work
Richardphotos
outstanding MB art.I never was one to excel in higher mathematics, and I paid for it while in college.I certainly enjoy fractals however
Badsue
You can list me under the "or" section, lol! If I wouldn't prefer punching, I'd never produce anything worth to see I fear. Cool work!
sandra46
SUPERLATIVE WORK !