File:3-ary Boolean functions in octeract graph; quaestor 01.svg
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Size of this PNG preview of this SVG file: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 768 × 768 pixels | 1,024 × 1,024 pixels | 2,048 × 2,048 pixels | 2,100 × 2,100 pixels.
Original file (SVG file, nominally 2,100 × 2,100 pixels, file size: 170 KB)
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This is a file from the Wikimedia Commons. The description on its description page there is shown below.
Commons is a freely licensed media file repository. You can help. |
Summary
| Description | Hasse diagram of 3-ary Boolean functions with the following ones highlighted: [1, 25, 37, 61, 67, 91, 103, 127, 128, 152, 164, 188, 194, 218, 230, 254] | ||
| Source | Own work | ||
| Author |
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Source code
This is the one file of this kind that shows the Python code used to create the SVG source.
The rest of the lines marked with <!-- etc. --> can be found in the SVG source of File:Octeract Petrie polygon.svg.
The description of that file includes the rest of the Python code used to generate this graph.
| Python and SVG source |
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red_functions = [1, 25, 37, 61, 67, 91, 103, 127, 128, 152, 164, 188, 194, 218, 230, 254]
svg_coordinates = [('0.0', '1000.0'), ('-382.683', '923.88'), ('-324.423', '783.227'), ('-707.107', '707.107'), ('-216.773', '675.577'), ('-599.456', '599.456'), ('-541.196', '458.804'), ('-923.88', '382.683'), ('-76.12', '617.317'), ('-458.804', '541.196'), ('-400.544', '400.544'), ('-783.227', '324.423'), ('-292.893', '292.893'), ('-675.577', '216.773'), ('-617.317', '76.12'), ('-1000.0', '0.0'), ('76.12', '617.317'), ('-306.563', '541.196'), ('-248.303', '400.544'), ('-630.986', '324.423'), ('-140.652', '292.893'), ('-523.336', '216.773'), ('-465.076', '76.12'), ('-847.759', '0.0'), ('0.0', '234.633'), ('-382.683', '158.513'), ('-324.423', '17.86'), ('-707.107', '-58.26'), ('-216.773', '-89.79'), ('-599.456', '-165.911'), ('-541.196', '-306.563'), ('-923.88', '-382.683'), ('216.773', '675.577'), ('-165.911', '599.456'), ('-107.651', '458.804'), ('-490.334', '382.683'), ('0.0', '351.153'), ('-382.683', '275.033'), ('-324.423', '134.381'), ('-707.107', '58.26'), ('140.652', '292.893'), ('-242.031', '216.773'), ('-183.771', '76.12'), ('-566.454', '0.0'), ('-76.12', '-31.53'), ('-458.804', '-107.651'), ('-400.544', '-248.303'), ('-783.227', '-324.423'), ('292.893', '292.893'), ('-89.79', '216.773'), ('-31.53', '76.12'), ('-414.214', '0.0'), ('76.12', '-31.53'), ('-306.563', '-107.651'), ('-248.303', '-248.303'), ('-630.986', '-324.423'), ('216.773', '-89.79'), ('-165.911', '-165.911'), ('-107.651', '-306.563'), ('-490.334', '-382.683'), ('0.0', '-414.214'), ('-382.683', '-490.334'), ('-324.423', '-630.986'), ('-707.107', '-707.107'), ('324.423', '783.227'), ('-58.26', '707.107'), ('0.0', '566.454'), ('-382.683', '490.334'), ('107.651', '458.804'), ('-275.033', '382.683'), ('-216.773', '242.031'), ('-599.456', '165.911'), ('248.303', '400.544'), ('-134.381', '324.423'), ('-76.12', '183.771'), ('-458.804', '107.651'), ('31.53', '76.12'), ('-351.153', '0.0'), ('-292.893', '-140.652'), ('-675.577', '-216.773'), ('400.544', '400.544'), ('17.86', '324.423'), ('76.12', '183.771'), ('-306.563', '107.651'), ('183.771', '76.12'), ('-198.912', '0.0'), ('-140.652', '-140.652'), ('-523.336', '-216.773'), ('324.423', '17.86'), ('-58.26', '-58.26'), ('0.0', '-198.912'), ('-382.683', '-275.033'), ('107.651', '-306.563'), ('-275.033', '-382.683'), ('-216.773', '-523.336'), ('-599.456', '-599.456'), ('541.196', '458.804'), ('158.513', '382.683'), ('216.773', '242.031'), ('-165.911', '165.911'), ('324.423', '134.381'), ('-58.26', '58.26'), ('0.0', '-82.392'), ('-382.683', '-158.513'), ('465.076', '76.12'), ('82.392', '0.0'), ('140.652', '-140.652'), ('-242.031', '-216.773'), ('248.303', '-248.303'), ('-134.381', '-324.423'), ('-76.12', '-465.076'), ('-458.804', '-541.196'), ('617.317', '76.12'), ('234.633', '0.0'), ('292.893', '-140.652'), ('-89.79', '-216.773'), ('400.544', '-248.303'), ('17.86', '-324.423'), ('76.12', '-465.076'), ('-306.563', '-541.196'), ('541.196', '-306.563'), ('158.513', '-382.683'), ('216.773', '-523.336'), ('-165.911', '-599.456'), ('324.423', '-630.986'), ('-58.26', '-707.107'), ('0.0', '-847.759'), ('-382.683', '-923.88'), ('382.683', '923.88'), ('0.0', '847.759'), ('58.26', '707.107'), ('-324.423', '630.986'), ('165.911', '599.456'), ('-216.773', '523.336'), ('-158.513', '382.683'), ('-541.196', '306.563'), ('306.563', '541.196'), ('-76.12', '465.076'), ('-17.86', '324.423'), ('-400.544', '248.303'), ('89.79', '216.773'), ('-292.893', '140.652'), ('-234.633', '0.0'), ('-617.317', '-76.12'), ('458.804', '541.196'), ('76.12', '465.076'), ('134.381', '324.423'), ('-248.303', '248.303'), ('242.031', '216.773'), ('-140.652', '140.652'), ('-82.392', '0.0'), ('-465.076', '-76.12'), ('382.683', '158.513'), ('0.0', '82.392'), ('58.26', '-58.26'), ('-324.423', '-134.381'), ('165.911', '-165.911'), ('-216.773', '-242.031'), ('-158.513', '-382.683'), ('-541.196', '-458.804'), ('599.456', '599.456'), ('216.773', '523.336'), ('275.033', '382.683'), ('-107.651', '306.563'), ('382.683', '275.033'), ('0.0', '198.912'), ('58.26', '58.26'), ('-324.423', '-17.86'), ('523.336', '216.773'), ('140.652', '140.652'), ('198.912', '0.0'), ('-183.771', '-76.12'), ('306.563', '-107.651'), ('-76.12', '-183.771'), ('-17.86', '-324.423'), ('-400.544', '-400.544'), ('675.577', '216.773'), ('292.893', '140.652'), ('351.153', '0.0'), ('-31.53', '-76.12'), ('458.804', '-107.651'), ('76.12', '-183.771'), ('134.381', '-324.423'), ('-248.303', '-400.544'), ('599.456', '-165.911'), ('216.773', '-242.031'), ('275.033', '-382.683'), ('-107.651', '-458.804'), ('382.683', '-490.334'), ('0.0', '-566.454'), ('58.26', '-707.107'), ('-324.423', '-783.227'), ('707.107', '707.107'), ('324.423', '630.986'), ('382.683', '490.334'), ('0.0', '414.214'), ('490.334', '382.683'), ('107.651', '306.563'), ('165.911', '165.911'), ('-216.773', '89.79'), ('630.986', '324.423'), ('248.303', '248.303'), ('306.563', '107.651'), ('-76.12', '31.53'), ('414.214', '0.0'), ('31.53', '-76.12'), ('89.79', '-216.773'), ('-292.893', '-292.893'), ('783.227', '324.423'), ('400.544', '248.303'), ('458.804', '107.651'), ('76.12', '31.53'), ('566.454', '0.0'), ('183.771', '-76.12'), ('242.031', '-216.773'), ('-140.652', '-292.893'), ('707.107', '-58.26'), ('324.423', '-134.381'), ('382.683', '-275.033'), ('0.0', '-351.153'), ('490.334', '-382.683'), ('107.651', '-458.804'), ('165.911', '-599.456'), ('-216.773', '-675.577'), ('923.88', '382.683'), ('541.196', '306.563'), ('599.456', '165.911'), ('216.773', '89.79'), ('707.107', '58.26'), ('324.423', '-17.86'), ('382.683', '-158.513'), ('0.0', '-234.633'), ('847.759', '0.0'), ('465.076', '-76.12'), ('523.336', '-216.773'), ('140.652', '-292.893'), ('630.986', '-324.423'), ('248.303', '-400.544'), ('306.563', '-541.196'), ('-76.12', '-617.317'), ('1000.0', '0.0'), ('617.317', '-76.12'), ('675.577', '-216.773'), ('292.893', '-292.893'), ('783.227', '-324.423'), ('400.544', '-400.544'), ('458.804', '-541.196'), ('76.12', '-617.317'), ('923.88', '-382.683'), ('541.196', '-458.804'), ('599.456', '-599.456'), ('216.773', '-675.577'), ('707.107', '-707.107'), ('324.423', '-783.227'), ('382.683', '-923.88'), ('0.0', '-1000.0')]
svg_vertices = ''
for i in range(256):
if i in red_functions:
bg_color = 'f00'
else:
bg_color = 'fff'
x_svg = svg_coordinates[i][0]
y_svg = svg_coordinates[i][1]
svg_vertices += '<circle cx="%s" cy="%s" r="14.5" fill="#%s"/>' % (x_svg, y_svg, bg_color)
svg_string = """<?xml version="1.0" encoding="UTF-8"?>
<svg xmlns="http://www.w3.org/2000/svg" width="2100" height="2100" viewBox="-1050 -1050 2100 2100">
<<!-- Nowiki tags do not work here. -->!-- edges -->
<g style="stroke:#000; stroke-width:1.5; stroke-opacity:0.3;">
<line x1="0.0" y1="1000.0" x2="-382.683" y2="923.88"/> <<!-- Nowiki tags do not work here. -->!-- etc. -->
</g>
<<!-- Nowiki tags do not work here. -->!-- vertices -->
<g style="stroke:#000; stroke-width:1.5px;">
%s
</g>
<<!-- Nowiki tags do not work here. -->!-- tiny dots -->
<circle cx="-11.098" cy="997.793" r="1.8"/><circle cx="-371.586" cy="926.087" r="1.8"/> <<!-- Nowiki tags do not work here. -->!-- etc. -->
<<!-- Nowiki tags do not work here. -->!-- numbers -->
<g style="text-anchor: middle; letter-spacing: -1;" font-size="10px" font-family="sans-serif" transform="translate(0, 3.7)" fill-opacity="0.5">
<text x="0.0" y="1000.0">0</text> <<!-- Nowiki tags do not work here. -->!-- etc. -->
</g>
</svg>""" % (svg_vertices)
svg_file = open('3-ary Boolean functions in octeract graph; related to 4-ary functions with weight 1; 01.svg', 'w')
svg_file.write(svg_string)
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Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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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. |
This file is licensed under the Creative Commons Attribution 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.
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 | 14:46, 23 June 2016 | | 2,100 × 2,100 (170 KB) | Watchduck | {{Information |Description ={{en|1=foo}} |Source ={{own}} |Author ={{Watchduck}} |Date = |Permission = |other_versions = }} |
File usage
The following page uses this file:
