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Menger_sponge_diagonal_section.gif (512 × 512 pixels, file size: 807 KB, MIME type: image/gif, looped, 55 frames, 13 s)
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Summary
| Description |
English: GIF animation of cross-sections of a level-4 Menger sponge perpendicular to a space diagonal. The cross-section through its centroid comprises regular hexagrams arranged in six-fold symmetry. The cross-sections are true-view and to scale. |
||
| Source | Own work | ||
| Author | Cmglee | ||
| Other versions |
Scripted SVG containing PNGs: File:Menger_sponge_diagonal_section.svg 
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POV-Ray source code
| Menger_sponge_diagonal_section.pov | Menger_sponge_diagonal_section.ini |
|---|---|
#declare HOLE1 =
box { <1/6,1/6,0.50001>,<-1/6,-1/6,-0.50001> }
#declare HOLE2_8 =
union {
object { HOLE1 translate < 1, 1,0> }
object { HOLE1 translate < 0, 1,0> }
object { HOLE1 translate <-1, 1,0> }
object { HOLE1 translate <-1, 0,0> }
object { HOLE1 translate <-1,-1,0> }
object { HOLE1 translate < 0,-1,0> }
object { HOLE1 translate < 1,-1,0> }
object { HOLE1 translate < 1, 0,0> }
scale <1/3,1/3,1>
}
#declare HOLE3_8 =
union {
object { HOLE2_8 translate < 1, 1,0> }
object { HOLE2_8 translate < 0, 1,0> }
object { HOLE2_8 translate <-1, 1,0> }
object { HOLE2_8 translate <-1, 0,0> }
object { HOLE2_8 translate <-1,-1,0> }
object { HOLE2_8 translate < 0,-1,0> }
object { HOLE2_8 translate < 1,-1,0> }
object { HOLE2_8 translate < 1, 0,0> }
scale <1/3,1/3,1>
}
#declare HOLE4_8 =
union {
object { HOLE3_8 translate < 1, 1,0> }
object { HOLE3_8 translate < 0, 1,0> }
object { HOLE3_8 translate <-1, 1,0> }
object { HOLE3_8 translate <-1, 0,0> }
object { HOLE3_8 translate <-1,-1,0> }
object { HOLE3_8 translate < 0,-1,0> }
object { HOLE3_8 translate < 1,-1,0> }
object { HOLE3_8 translate < 1, 0,0> }
scale <1/3,1/3,1>
}
#declare HOLE4 =
union {
object { HOLE1 }
object { HOLE2_8 }
object { HOLE3_8 }
object { HOLE4_8 }
}
#declare SPONGE4 =
difference {
box { <0.5,0.5,0.5>, <-0.5,-0.5,-0.5> }
union {
object { HOLE4 }
object { HOLE4 rotate <0,90,0> }
object { HOLE4 rotate <90,0,0> }
}
}
#declare CLOCK = 1 - 2 * clock;
//#declare CLOCK = 0;
#declare CLOCK_PLANE = 1.5 * CLOCK;
#declare CLOCK_ALL = -0.5 * CLOCK;
#debug concat(str(CLOCK, 8, 3), "\n")
difference {
object {
//cylinder { <1,1,1>, <-1,-1,-1>, 0.5 } /// check scale constant
SPONGE4
pigment { rgb <0.5,1,1> }
}
plane { <-1,-1,-1>, 0 translate <CLOCK_PLANE,0,0> }
translate <CLOCK_ALL,CLOCK_ALL,CLOCK_ALL>
rotate <0,45,degrees(-atan(1/sqrt(2)))>
no_shadow
}
background { color 1 }
camera {
right x * image_width / image_height
location <3.1,0,0>
look_at <0,0,0>
angle 30
}
light_source { <0,9,0> color 1 parallel }
light_source { <9,0,0> color 2 parallel }
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; POV-Ray animation ini file
Antialias=Off
;Antialias=On
Antialias_Threshold=0.1
Antialias_Depth=1
Input_File_Name="Menger_sponge_diagonal_section.pov"
Initial_Frame=0
Initial_Clock=0
Final_Frame=54
Final_Clock=1
Cyclic_Animation=off
Pause_when_Done=off
Debug_File=on
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Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:27, 25 April 2017 | | 512 × 512 (807 KB) | Cmglee |
File usage
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