Asurf Pseudo with other box-like fractals

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Offline taurus

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« on: June 29, 2020, 11:13:15 PM »
Just to prove the thesis that the Asurf Pseudo can be combined with other box-like fractals.
The first fractal can logically only be the simple Mandelbox and in fact it works in both unrotated and as a negscale rotbox.


some sort of standard pseudo with unrotated Mandelbox
Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
ambient_occlusion_quality 8;
bailout 256;
camera -3,319011453577651 -0,09938254804397899 3,629718409360805;
camera_distance_to_target 3,106981182657433;
camera_rotation -89,83519943035886 -5,871176614537371 0,05687060413734064;
camera_top 0,1022945070743757 -0,000698351446871708 0,9947539123459969;
contrast 1,2;
DE_factor 0,5130603487311813;
detail_level 4,8;
dont_add_c_constant_1 true;
fog_color_1 1600 2300 3200;
fog_color_2 3100 3b00 4800;
fog_color_3 5600 6100 6800;
formula_1 73;
formula_2 8;
formula_iterations_1 20;
formula_iterations_2 100;
fov 64,13;
hdr true;
hybrid_fractal_enable true;
image_height 960;
image_proportion 3;
image_width 1440;
julia_c 0 0 4,5;
julia_mode true;
limit_max 20 20 20;
limit_min -0,2135555555555556 -20 -20;
limits_enabled true;
main_light_alpha 14,41;
main_light_beta 11,31;
penetrating_lights false;
reflections_max 3;
target -0,2283410289232532 -0,09049278939996531 3,31189869986305;
use_default_bailout false;
view_distance_max 19,73395965903087;
view_distance_min 1e-08;
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_limit 2;
mandelbox_folding_min_radius 0,4;
mandelbox_folding_value 4;
mandelbox_scale -1,5;
transf_addition_constant_111 2,5 2,5 1;
transf_function_enabled_false true;
transf_minimum_radius_05 0;



a not very elaborated, but recognizable negscale rotbox
Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
ambient_occlusion_quality 8;
bailout 256;
camera 1,940938393489432 -2,063450680165567 4,486298533505257;
camera_distance_to_target 0,350181417616894;
camera_rotation 40,99371069651807 -83,56632040997202 -140,297067014837;
camera_top 0,01934801385733308 -0,9960891046851836 -0,08620991756895238;
contrast 1,2;
DE_factor 0,5130603487311813;
detail_level 4,8;
dont_add_c_constant_1 true;
flight_last_to_render 0;
fog_color_1 1600 2300 3200;
fog_color_2 3100 3b00 4800;
fog_color_3 5600 6100 6800;
formula_1 73;
formula_2 8;
formula_iterations_1 20;
formula_iterations_2 100;
fov 64,13;
hdr true;
hybrid_fractal_enable true;
image_height 960;
image_proportion 3;
image_width 1440;
julia_c 2,830355197579657 -2,201673854888596 2,859597237578917;
julia_mode true;
keyframe_last_to_render 0;
limit_max 20 20 4,27;
limit_min -0,2135555555555556 -20 -20;
limits_enabled true;
main_light_alpha 14,41;
main_light_beta 11,31;
mat1_is_defined true;
penetrating_lights false;
reflections_max 3;
target 1,915198607965007 -2,033833878800522 4,138322480073074;
use_default_bailout false;
view_distance_max 19,73395965903087;
view_distance_min 1e-08;
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_limit 1,5;
mandelbox_folding_min_radius 0,4;
mandelbox_folding_value 3;
mandelbox_main_rotation_enabled true;
mandelbox_rotation_main -3 5 13;
mandelbox_scale -1,3;
transf_addition_constant_111 2,5 2,5 1;
transf_function_enabled_false true;
transf_minimum_radius_05 0;

I am quite excited about how flexible the system is. In the second slot, practically all parameters are freely selectable and almost always result in useful shapes (M-set shows possible Julia configurations). For example, I had great difficulty reproducing the first image after not saving the parameter properly. This bases obviously on a very special principle.
have fun!

Linkback: https://fractalforums.org/mandelbulber/14/asurf-pseudo-with-other-box-like-fractals/3628/
when life offers you a lemon, get some salt and tequila.

Offline taurus

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« Reply #1 on: July 01, 2020, 12:10:58 AM »
two more shots on Asurf Pseudo with Mandelbox in second slot.
rotbox m-set
rotbox j-set





Offline buddhi

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« Reply #2 on: July 01, 2020, 09:23:49 PM »
I used similar to render Pseudo Kleinian fractal many years ago (it was very slow). It is a nice alternative, because you cam compose interesting hybrids. One example is hybrid with menger sponge:

Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
brightness 1,2;
camera 2,54490044525494 -5,24566195068808 2,61586471644878;
camera_distance_to_target 1,51173966888666;
camera_rotation 24,8942054739696 -20,8005384402062 1,63458449814708;
camera_top -0,123548387469123 0,333997089669632 0,934441940436106;
constant_DE_threshold true;
DE_thresh 0,000380537076015474;
flight_last_to_render 0;
formula_1 8;
formula_2 7;
formula_iterations_1 19;
formula_iterations_2 17;
fov 43,6;
gamma 0,4;
hybrid_fractal_enable true;
image_height 1024;
image_proportion 1;
image_width 1024;
julia_c 0 0 -1,98575564812913;
julia_mode true;
keyframe_last_to_render 0;
mat1_is_defined true;
mat1_surface_color_gradient 0 fd6029 999 698403 1999 fff59b 2999 f5bd22 3999 0b5e87 5000 c68876 5999 a51c64 7000 3b9fee 7999 d4ffd4 9000 aba53c;
N 500;
saturation 0,7;
target 1,95001890008108 -3,96375991199991 2,07902215395563;
view_distance_max 20;
[fractal_1]
mandelbox_folding_min_radius 0;
mandelbox_folding_value 1,954592;
mandelbox_scale 1;

Offline mclarekin

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« Reply #3 on: July 02, 2020, 02:22:21 AM »
here is the basic setup made out of transforms:

 Start with box fold xyz and sphere fold (minR = 0) for some iters,  then boxfold xy and scale.
 Boxbulbs start the same way.

Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
camera 2.54490044525494 -5.24566195068808 2.61586471644878;
camera_distance_to_target 1.52580941396006;
camera_rotation 11.3512606737152 -4.33288906545519 -1.90355101866788;
camera_top -0.0474293815280273 0.0674944795335775 0.996591666130296;
constant_DE_threshold true;
DE_factor 0.5;
DE_thresh 0.000380537076015474;
flight_last_to_render 0;
formula_1 1025;
formula_2 1021;
formula_3 1025;
formula_4 1003;
formula_start_iteration_3 36;
formula_start_iteration_4 36;
formula_stop_iteration_1 35;
formula_stop_iteration_2 36;
hybrid_fractal_enable true;
image_height 800;
image_proportion 1;
julia_c 0 0 -1.98575564812913;
keyframe_last_to_render 0;
mat1_is_defined true;
mat1_surface_color_gradient 0 fd6029 1000 698403 2000 aa0000 3000 f5bd22 4000 0b5e87 5000 c68876 6000 a51c64 7000 3b9fee 8000 d4ffd4 9000 aba53c;
N 78;
target 2.24544378551518 -3.75397452383641 2.50058810460019;
view_distance_max 20;
[fractal_1]
mandelbox_folding_min_radius 0;
mandelbox_folding_value 1.954592;
mandelbox_scale 1;
transf_addition_constant 1 1 0.98;
[fractal_2]
mandelbox_folding_min_radius 0;
transf_minimum_radius_05 0;
[fractal_3]
transf_addition_constant 1 1 2.77555756156289e-17;
[fractal_4]
analyticDE_enabled_false true;
analyticDE_offset_1 1;
transf_scale 2;


Offline taurus

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« Reply #4 on: July 03, 2020, 07:35:10 PM »
That's right, Buddhi. These systems are quite slow. But in fact I'm not looking for the fast systems, I'm looking for the beautiful ones. And yes, pseudo Kleinians are quite old. If I remember correctly 2011 as a hybrid of Abox-Menger-Abox.
 My systems are actually all based on the same principle: Box like - Box like +c (at the end of the cycle)

If I see this correctly, your systems are both different from the fact that c is missing at the end of the cycle. With Graeme's params you can add this (and it will lead to one of my preferred systems), but with the Abox-Menger combo this doesn't really help.

Goal of adding c at the end of the cycle is to get a M-set that changes over distance. I can grab Julia constants there.
I have been doing this since my early Mandelboxes, also with Asurf and preferably with the hybrids.
Cheers




A quick tweak of Graeme's Parameters
Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
camera 2,54490044525494 -5,24566195068808 2,61586471644878;
camera_distance_to_target 1,52580941396006;
camera_rotation 11,3512606737152 -4,33288906545519 -1,90355101866788;
camera_top -0,0474293815280273 0,0674944795335775 0,996591666130296;
constant_DE_threshold true;
DE_factor 0,5;
DE_thresh 0,000380537076015474;
dont_add_c_constant_3 true;
flight_last_to_render 0;
formula_1 1025;
formula_2 1021;
formula_3 1025;
formula_4 1003;
formula_start_iteration_3 36;
formula_start_iteration_4 36;
formula_stop_iteration_1 35;
formula_stop_iteration_2 36;
hybrid_fractal_enable true;
image_height 800;
image_proportion 1;
julia_c 0,5154119825034389 -0,3511986725298994 1,192371740399229;
julia_mode true;
keyframe_last_to_render 0;
mat1_is_defined true;
mat1_surface_color_gradient 0 fd6029 1000 698403 2000 aa0000 3000 f5bd22 4000 0b5e87 5000 c68876 6000 a51c64 7000 3b9fee 8000 d4ffd4 9000 aba53c;
N 78;
target 2,24544378551518 -3,75397452383641 2,50058810460019;
view_distance_max 20;
[fractal_1]
mandelbox_folding_min_radius 0;
mandelbox_folding_value 1,954592;
mandelbox_scale 1;
transf_addition_constant 1 1 0,98;
[fractal_2]
mandelbox_folding_min_radius 0;
transf_minimum_radius_05 0;
[fractal_3]
transf_addition_constant 1 1 0;
[fractal_4]
analyticDE_enabled_false true;
transf_scale 2;

Offline taurus

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« Reply #5 on: July 06, 2020, 08:48:42 PM »
Recently I was asked to share an example of an M-set where you can grab Julia values. This is what I want to do with this. Even six pieces of it - stored in keyframes. The six are a reduction of a random field, which I generate at the beginning of many experiments to give an overview. They and some others are the basis of the pictures below.
The rest I leave uncommented.
have fun!



Code: [Select]
# Mandelbulber settings file
# version 2.21
# only modified parameters
[main_parameters]
ambient_occlusion_enabled true;
ambient_occlusion_quality 8;
bailout 256;
camera 1,58880970480122 -2,11163949338257 2,34473120830877;
camera_distance_to_target 0,3045694157481231;
camera_rotation -76,94396623925797 -39,58506774447777 102,4290628385422;
camera_top 0,08700478759781 -0,9823013943066941 -0,165873860744195;
contrast 1,2;
detail_level 4,8;
dont_add_c_constant_1 true;
flight_last_to_render 0;
formula_1 73;
formula_2 8;
formula_iterations_1 20;
formula_iterations_2 100;
fov 64,13;
fractal_constant_factor 0,9 0,9 0,9;
hdr true;
hybrid_fractal_enable true;
image_height 960;
image_proportion 3;
image_width 1440;
julia_c 1,783717232429836 -2,174374527401537 2,133306729416367;
limit_max 20 20 4,27;
limit_min -0,2135555555555556 -20 -20;
limits_enabled true;
main_light_alpha 14,41;
main_light_beta 11,31;
mat1_fractal_coloring_aux_color_false true;
mat1_fractal_coloring_extra_color_enabled_false true;
mat1_fractal_coloring_orbit_trap_true false;
mat1_is_defined true;
penetrating_lights false;
target 1,8174673174332 -2,058614130554 2,15065252299919;
use_default_bailout false;
view_distance_max 19,73395965903087;
view_distance_min 1e-08;
[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 0,2;
mandelbox_main_rotation_enabled true;
mandelbox_rotation_main -5,723853 3,97092 7,615095;
mandelbox_scale -1,15;
transf_addition_constant_111 2,5 2,5 1;
transf_function_enabled_false true;
transf_minimum_radius_05 0;
[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;fractal1_mandelbox_rotation_main_x;fractal1_mandelbox_rotation_main_y;fractal1_mandelbox_rotation_main_z
0;1,58880970480122;-2,11163949338257;2,34473120830877;1,8174673174332;-2,058614130554;2,15065252299919;0,08700478759781;-0,9823013943066941;-0,165873860744195;-1;2;5
1;1,58880970480122;-2,11163949338257;2,34473120830877;1,8174673174332;-2,058614130554;2,15065252299919;0,08700478759781;-0,9823013943066941;-0,165873860744195;-0,370473;-0,101322;1,259117
2;1,58880970480122;-2,11163949338257;2,34473120830877;1,8174673174332;-2,058614130554;2,15065252299919;0,08700478759781;-0,9823013943066941;-0,165873860744195;-3,556045;0,369087;0,580506
3;1,58880970480122;-2,11163949338257;2,34473120830877;1,8174673174332;-2,058614130554;2,15065252299919;0,08700478759781;-0,9823013943066941;-0,165873860744195;-0,166085;-0,928488;4,117173
4;1,58880970480122;-2,11163949338257;2,34473120830877;1,8174673174332;-2,058614130554;2,15065252299919;0,08700478759781;-0,9823013943066941;-0,165873860744195;-2,292983;6,211287;5,309073
5;1,58880970480122;-2,11163949338257;2,34473120830877;1,8174673174332;-2,058614130554;2,15065252299919;0,08700478759781;-0,9823013943066941;-0,165873860744195;-5,723853;3,97092;7,615095

Offline hobold

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« Reply #6 on: July 07, 2020, 12:51:32 AM »
Worlds upon worlds, waiting to be explored.

Offline taurus

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« Reply #7 on: July 07, 2020, 08:34:49 PM »
I do hope so!  :yes:


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