File:Free distributive lattice with 3 generators (x,y,z).gif
Jump to navigation
Jump to search
Size of this preview: 649 × 599 pixels. Other resolutions: 260 × 240 pixels | 520 × 480 pixels | 996 × 920 pixels.
Original file (996 × 920 pixels, file size: 21 KB, MIME type: image/gif)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
.gif&action=edit§ion=1){kind=link}
| Description |
English: 3-dimensional diagram of the free distributive lattice generated by {x,y,z}.
O=x∧y∧z, p=x∧y, q=x∧z, r=y∧z, u=p∨q, v=p∨r, w=q∨r, ø=p∨q∨r=p'∧q'∧r', I=x∨y∨z, p'=x∨y, q'=x∨z, r'=y∨z, u'=p∧q, v'=p∧r, w'=q∧r. |
| Date | |
| Source | Own work |
| Author | Jochen Burghardt |
| Gnuplot source code |
|---|
set parametric
set hidden3d
unset key
set xrange [-10:10]
set yrange [-10:10]
set zrange [-10:10]
unset border
unset xtics
unset ytics
unset ztics
set style data line
set view 30,330,1.0,1.0
set view 55,335,1.0,1.0
set view 25,340,1.0,1.0
set title "Free distributive lattice with 3 generators (x,y,z)" font ",16"
splot "m18c.gpdat" index 0:08 with lines 1, "m18c.gpdat" index 09:14 with lines 3, "m18c.gpdat" index 15:35 with lines 1
set label "O" at 0,0,3 front font ",18" tc rgb "#606060"
set label "p" at 0,2,3 front font ",18" tc rgb "#606060"
set label "q" at 0,0,5 front font ",18" tc rgb "#606060"
set label "r" at 2,0,3 front font ",18" tc rgb "#606060"
set label "u" at 0,2,5 front font ",18" tc rgb "#606060"
set label "v" at 2,2,3 front font ",18" tc rgb "#606060"
set label "w" at 2,0,5 front font ",18" tc rgb "#606060"
set label "u'" at 2,4,5 front font ",18" tc rgb "#606060"
set label "v'" at 2,2,7 front font ",18" tc rgb "#606060"
set label "w'" at 4,2,5 front font ",18" tc rgb "#606060"
set label "p'" at 2,4,7 front font ",18" tc rgb "#606060"
set label "q'" at 4,4,5 front font ",18" tc rgb "#606060"
set label "r'" at 4,2,7 front font ",18" tc rgb "#606060"
set label "I" at 4,4,7 front font ",18" tc rgb "#606060"
set label "ø" at 2,2,5 front font ",18" tc rgb "#606060"
set label "x" at 0.9,3.1,5 front font ",18" tc rgb "#000000"
set label "y" at 1.7,1.7,5 front font ",18" tc rgb "#000000"
set label "z" at 3.1,0.9,5 front font ",18" tc rgb "#000000"
pause -1 "Press Return"
|
| Data file "m18c.gpdat" used by gnuplot code |
|---|
0 0 3 0 2 3
0 0 3 0 0 5
0 0 3 2 0 3
0 2 3 0 2 5
0 2 3 2 2 3
0 0 5 0 2 5
0 0 5 2 0 5
2 0 3 2 2 3
2 0 3 2 0 5
0 2 5 0.9 3.1 5
2 2 3 1.7 1.7 5
2 0 5 3.1 0.9 5
0.9 3.1 5 2 4 5
1.7 1.7 5 2 2 7
3.1 0.9 5 4 2 5
2 4 5 2 4 7
2 4 5 4 4 5
2 2 7 2 4 7
2 2 7 4 2 7
4 2 5 4 4 5
4 2 5 4 2 7
2 4 7 4 4 7
4 4 5 4 4 7
4 2 7 4 4 7
0 2 5 2 2 5
2 2 3 2 2 5
2 0 5 2 2 5
2 2 5 2 4 5
2 2 5 2 2 7
2 2 5 4 2 5 |
Licensing[edit]
.gif&action=edit§ion=2){kind=link}
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:33, 1 September 2013 | | 996 × 920 (21 KB) | Jochen Burghardt (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
.gif&oldid=494204407){kind=link}