File:Logical connectives Hasse diagram.svg

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Summary

Rhombic dodecahedron:

Logical connectives:

input Ainput Boutput f(A,B)X and ¬XA and B¬A and BBA and ¬BAA xor BA or B¬A and ¬BA xnor B¬A¬A or B¬BA or ¬B¬A or ¬BX or ¬X
X or ¬X¬A or ¬BA or ¬B¬A or BA or B¬B¬AA xor BA xnor BAB¬A and ¬BA and ¬B¬A and BA and BX and ¬X
(Logical connectives table and Hasse diagram)


Description
English: The sixteen logical connectives ordered in a Hasse diagram. They are represented by: The nodes are connected like the vertices of a 4 dimensional cube. The light blue edges form a rhombic dodecahedron - the convex hull of the tesseract's vertex-first shadow in 3 dimensions.
中文:這十六個逻辑运算符排列在一个哈斯圖裡面。他们代表: 节点像四維超正方體的顶点那样连接。浅蓝色边缘形成菱形十二面體——三维阴影中冪集的第一个顶点的凸殼。
This SVG was created with Inkscape.
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
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15 May 2009

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Date/TimeThumbnailDimensionsUserComment
current14:17, 13 February 2023Thumbnail for version as of 14:17, 13 February 2023744 × 1,052 (201 KB)TeunSpaansupdated to newer inkscape version, hopefully alll previous issues solved
14:14, 24 July 2021Thumbnail for version as of 14:14, 24 July 2021744 × 1,052 (201 KB)Watchduckrevert to last version by myself
14:59, 20 June 2021Thumbnail for version as of 14:59, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxwidened xor symbol
14:38, 20 June 2021Thumbnail for version as of 14:38, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxchanged xor sign to /nleftrightarrow, changed truth and false to bottom and top. changed not to logical not sign.
14:33, 20 June 2021Thumbnail for version as of 14:33, 20 June 2021744 × 1,052 (201 KB)MechachleopteryxReverted to version as of 19:25, 7 May 2010 (UTC)
14:27, 20 June 2021Thumbnail for version as of 14:27, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxchanged xor sign to /nleftrightarrow, changed truth and false to bottom and top. changed not to logical not sign.
14:24, 20 June 2021Thumbnail for version as of 14:24, 20 June 2021744 × 1,052 (201 KB)MechachleopteryxReverted to version as of 19:25, 7 May 2010 (UTC)
14:17, 20 June 2021Thumbnail for version as of 14:17, 20 June 2021744 × 1,052 (193 KB)Mechachleopteryxchanged xor sign to /nleftrightarrow, changed truth and false to bottom and top. changed not to logical not sign.
19:25, 7 May 2010Thumbnail for version as of 19:25, 7 May 2010744 × 1,052 (201 KB)Watchduckchanged XOR sign from <math>\dot\or</math> to <math>\oplus</math>
17:00, 24 August 2009Thumbnail for version as of 17:00, 24 August 2009744 × 1,052 (206 KB)Watchduck
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