How to create a Pseudo Kleinian only with Amazing Surf

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Offline taurus

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« on: June 14, 2020, 04:29:42 PM »
Here a new concept for Mandelbulber to define a pseudo Kleinian exclusively with AmazingSurf. In M3d the concept does not work, probably because the different order of the rotations together with the special role of the z-axis in AmazingSurf prevent a transfer. However, some other differences in the implementation of AmazingSurf in the two programs are conceivable too. In Fragmentarium this should work as well, although the proof is beyond my motivation.
Core of the concept is AmazingSurf in the first slot with a scale of 1 and a 90° rotation on x or y axis (z does not work). AmazingSurf in the second slot can be configured relatively free, where only fold values of 2 and higher are necessary for a crack-free surface. Scale and rotation can be used as usual and show AmazingSurf-like shapes on the pseudo Kleinian. Since a simple pseudo Kleinian is created with Julia values of 0,0,0, the Julia values can also be used to influence the shape within wide limits. Last but not least this concept works with almost any box-like fractal in the second slot.
have fun!
Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
bailout 1024;
camera 0,9601012213102063 -2,808750026033185 0,2606772287732498;
camera_distance_to_target 2,979735505292989;
camera_rotation 18,87171513575827 -5,018842188440837 2,449411327752177;
camera_top 0,01216927273925618 0,09652844253813442 0,995255830720001;
detail_level 4;
dont_add_c_constant_1 true;
formula_1 73;
formula_2 73;
formula_iterations_1 20;
formula_iterations_2 100;
hybrid_fractal_enable true;
image_height 520;
image_proportion 3;
image_width 780;
julia_mode true;
mat1_is_defined true;
mat1_metallic false;
mat1_specular 1;
mat1_specular_width 1;
use_default_bailout false;
view_distance_max 9,99;
[fractal_1]
mandelbox_folding_min_radius 0;
mandelbox_scale 1;
transf_addition_constant_111 0,985 0,985 1;
transf_minimum_radius_05 0;
transf_rotation 0 90 0;
[fractal_2]
mandelbox_folding_min_radius 0;
mandelbox_folding_value 4;
transf_addition_constant_111 4 4 1;
transf_minimum_radius_05 0;


Linkback: https://fractalforums.org/mandelbulber/14/how-to-create-a-pseudo-kleinian-only-with-amazing-surf/3580/
when life offers you a lemon, get some salt and tequila.

Offline Tas_mania

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« Reply #1 on: June 18, 2020, 12:42:11 AM »
Thanks for sharing that's interesting. I will try it.

BTW. Latest MDBB 2.22 is very good. Things like materials have been re-done and improved.  :thumbs:

Offline batjorge

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« Reply #2 on: June 20, 2020, 02:43:52 AM »
Thanks for the explanation and formulas! I read your post on FB, but hard to grip anything there due to saturation of posts.
Will take an insight on it...  >:D

Offline taurus

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« Reply #3 on: June 21, 2020, 07:15:23 PM »
Thanks a lot people. Glad you like it.
@Jorge
Maybe the difficulties to find something useful, relies on a difference in starting out (I am only assuming). I do not take J-Sets as starting point, I am using the M-set. I know very few do so. The M-sets of box-like Fractals (mandlbox, asurf etc.) are - like in 2d Mandelbrot - some sort of "map" of possible J-sets. I am searching for interesting morphology within the M-set, grab a point for the Julia values and then I start to refine the structure in J-Set, if I find it useful. Still not easy, but I find that workflow more targeted than flipping sliders in J-set.
So as a little goodie my starting parameters. The animation dock is data storage here. Key0 is the top view of the center in large zoom, key1 is a pov, where you can test Julia values (I use copy/paste vector to do so). Key 2 is a closeup on M-set with possible values to grab. I hope, that makes things a bit clearer.
Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
ambient_occlusion_quality 10;
background_3_colors_enable false;
background_brightness 2,5;
background_color_1 0000 0000 0000;
bailout 1024;
brightness 1,3;
camera -0,004019171538349199 -0,03176601393090615 3,188255710831213;
camera_distance_to_target 3,188696723098059;
camera_rotation 5,282591736365244 -89,42788511120629 5,253255742333931;
camera_top -0,0005074391115852117 0,9999504365870608 0,009943182332344704;
contrast 1,4;
DE_factor 0,5432270371357985;
delta_DE_function 1;
detail_level 3;
dont_add_c_constant_1 true;
fog_color_1 1300 1d00 2a00;
fog_color_2 2d00 3600 4200;
fog_color_3 4e00 5800 5e00;
formula_1 73;
formula_2 73;
formula_iterations_1 20;
formula_iterations_2 100;
fov 64,13;
frames_per_keyframe 5;
hdr true;
hybrid_fractal_enable true;
image_height 768;
image_proportion 3;
image_width 1152;
limit_max 5 2,863834496811344 0,3125;
limit_min -5 -2,863834496811344 -5;
limits_enabled true;
main_light_alpha -21,41;
main_light_beta 5,62;
main_light_intensity 0,9;
mat1_coloring_palette_offset 0,145;
mat1_coloring_speed 0,7;
mat1_fractal_coloring_algorithm 2;
mat1_fractal_coloring_i_start_value 10;
mat1_fractal_coloring_iter_add_scale 0,5;
mat1_fractal_coloring_iter_add_scale_enabled_true false;
mat1_fractal_coloring_iter_group_enabled_false true;
mat1_fractal_coloring_iter_scale 0,11;
mat1_fractal_coloring_iter_scale_enabled_false true;
mat1_fractal_coloring_orbit_trap_weight 1,2;
mat1_fractal_coloring_rad_weight 0,003907;
mat1_fractal_coloring_sphere_radius 0,5;
mat1_is_defined true;
mat1_specular 1;
mat1_specular_metallic 1;
mat1_specular_metallic_width 2;
mat1_specular_plastic_enable false;
mat1_specular_width 0,1;
mat1_surface_color_gradient 0 860000 908 c91600 1817 cf5213 2727 e7f38f 3635 94ffe5 4899 2e4b3d 5144 2e4b3d 6363 94ffe5 7271 e8f28f 8181 cf5213 9090 c91600;
penetrating_lights false;
reflections_max 3;
target -0,0069505747818385 -6,171776167448822e-05 -0,000282047511274211;
use_default_bailout false;
view_distance_max 9,99835492540835;
view_distance_min 1e-08;
volumetric_fog_colour_1_distance 0,06469546479035856;
volumetric_fog_colour_2_distance 0,1293909295807171;
volumetric_fog_density 0,6087130871056242;
volumetric_fog_distance_factor 0,1293909295807172;
volumetric_fog_enabled true;
[fractal_1]
mandelbox_folding_min_radius 0;
mandelbox_scale 1;
transf_addition_constant_111 0,985 0,985 1;
transf_minimum_radius_05 0;
transf_rotation 0 90 0;
[fractal_2]
mandelbox_folding_min_radius 0;
mandelbox_folding_value 4;
mandelbox_scale 1,2;
transf_addition_constant_111 2 2 1;
transf_minimum_radius_05 0;
transf_rotation -1 5 -14;
[keyframes]
frame;main_camera_x;main_camera_y;main_camera_z;main_target_x;main_target_y;main_target_z;main_camera_top_x;main_camera_top_y;main_camera_top_z;main_julia_c_x;main_julia_c_y;main_julia_c_z
0;-0,004019171538349199;-0,03176601393090615;3,188255710831213;-0,0069505747818385;-6,171776167448822e-05;-0,000282047511274211;-0,0005074391115852117;0,9999504365870608;0,009943182332344704;0;0;0
1;0,3914775212798687;0,9574962094675701;0,3666067702707901;-0,007028570456923331;0,3221271692743281;0,096448016745936;-0,2231509225347116;-0,2595536487866997;0,9395932998768226;0;0;0
2;0,05736747117883115;0,1514754906034557;0,4188845940554856;0,08540044607123803;0,2217784940220549;0,252248920970902;-0,06250398152527548;0,9232781505986374;0,3790128083860071;0;0;0
interpolation;morphAkima;morphAkima;morphAkima;morphAkima

Offline Tas_mania

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« Reply #4 on: June 22, 2020, 09:46:44 AM »
Thanx Taurus, that last one is very nice.
Suggest a name for these, Psuedo-PseudoKleinian  :))

Offline taurus

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« Reply #5 on: June 22, 2020, 11:12:15 PM »
I think, I keep it simple. Asurf Pseudo sounds good to me.  ;D


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