A Pseudo Kleinian fractal, illustrating the Apollonian gasket and quasi-Fuchsian group as a fractal. This fractal is seen from the side. The main properties of this fractal are the hoop, that circles the biggest sphere. Apart from that, the spheres (the fractal is only made out of spheres) have a order, that they border an imaginary circle (which are infinite in their amount). The circles are ideal, because the "sphere bridges" can get infinitely small at the border so that there are no edges, that corrupt the circle. This fractal is symmetrical. Because this is a discrete group, it can be assigned to the Apollonian Gasket (3D) (largest sphere touches two smaller spheres (which are in the upper left und down left)). Because this fractal is three-dimensional, especially the bigger spheres seem to overhang over the circle construction of the fractal, but the spheres are covered by a "sphere birdge" so they are inside the circle structure (border of the whole fractal).
<p>From the FRACT file:
</p>
<ol><li>Mandelbulber settings file</li>
<li>version 2.19</li>
<li>only modified parameters</li></ol><p>[main_parameters]
ambient_occlusion_enabled true;
ambient_occlusion_mode 1;
ambient_occlusion_quality 10;
background_3_colors_enable false;
background_color_1 0000 0000 0000;
camera 0 -40 0;
camera_distance_to_target 40;
camera_rotation 0 0 0;
camera_top 0 0 1;
DE_factor 0,5;
file_background C:\Users\User\Downloads\mandelbulber2-win64-2.16-standalone\mandelbulber2-win64-2.16-standalone\textures\background.jpg;
file_envmap C:\Users\User\Downloads\mandelbulber2-win64-2.16-standalone\mandelbulber2-win64-2.16-standalone\textures\envmap.jpg;
file_lightmap C:\Users\User\Downloads\mandelbulber2-win64-2.16-standalone\mandelbulber2-win64-2.16-standalone\textures\lightmap.jpg;
flight_last_to_render 0;
formula_1 103;
fractal_position -9 0 5;
hdr true;
image_height 8000;
image_proportion 1;
image_width 8000;
keyframe_last_to_render 0;
mat1_is_defined true;
mat1_surface_color_gradient 0 fd6029;
raytraced_reflections true;
reflections_max 9;
view_distance_max 209,1195554380286;
[fractal_1]
transf_offset_000 0,2 0 0,1;
transf_sphere_inversion_enabled_false true;
</p><p><br>Title description:
<br>Pseudo Kleinian: Name of the fractal in mandelbulber2.
<br>OpenCL: Rendering technique
<br>26082019: date of creation/publishing avoiding file name redundances
<br>8K: Resolution (8000x8000 pixels)
</p>
<br>004: Image number of the image series of that day.
<a href="//commons.wikimedia.org/wiki/User:PantheraLeo1359531" title="User:PantheraLeo1359531">PantheraLeo1359531</a>
CC BY-SA 4.0
<span class="int-own-work" lang="en">Own work</span>