Image:Fudge dice tree.svg

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Fudge_dice_tree.svg‎ (SVG file, nominally 868 × 538 pixels, file size: 17 KB)

[edit] Summary

Description	A tree (made with Graphviz describing the process of throwing four Fudge dice and computing their sum. The uppermost row is the starting position ( $0$ dice thrown), the next row contains the possible states after one die has been thrown, etc. Each node contains the sum so far (above) and the probability of getting to that node (below).
Source	Own work.
Date	2007-10-07
Author	User:Bromskloss
Permission (Reusing this image)	See below.

The following source code was compiled with dot -Tsvg -o "Fudge dice tree.svg" "Fudge dice tree.dot" to produce the image:

digraph G {
        "0_0" [label="0\n1"]
        "0_0" -> "1_-1"
        "0_0" -> "1_0"
        "0_0" -> "1_1"

        "1_-1" [label="-1\n1/3"]
        "1_0" [label="0\n1/3"]
        "1_1" [label="1\n1/3"]
        "1_-1" -> "2_-2"
        "1_-1" -> "2_-1"
        "1_-1" -> "2_0"
        "1_0" -> "2_-1"
        "1_0" -> "2_0"
        "1_0" -> "2_1"
        "1_1" -> "2_0"
        "1_1" -> "2_1"
        "1_1" -> "2_2"

        "2_-2" [label="-2\n1/9"]
        "2_-1" [label="-1\n2/9"]
        "2_0" [label="0\n3/9"]
        "2_1" [label="1\n2/9"]
        "2_2" [label="2\n1/9"]
        "2_-2" -> "3_-3"
        "2_-2" -> "3_-2"
        "2_-2" -> "3_-1"
        "2_-1" -> "3_-2"
        "2_-1" -> "3_-1"
        "2_-1" -> "3_0"
        "2_0" -> "3_-1"
        "2_0" -> "3_0"
        "2_0" -> "3_1"
        "2_1" -> "3_0"
        "2_1" -> "3_1"
        "2_1" -> "3_2"
        "2_2" -> "3_1"
        "2_2" -> "3_2"
        "2_2" -> "3_3"

        "3_-3" [label="-3\n1/27"]
        "3_-2" [label="-2\n3/27"]
        "3_-1" [label="-1\n6/27"]
        "3_0" [label="0\n7/27"]
        "3_1" [label="1\n6/27"]
        "3_2" [label="2\n3/27"]
        "3_3" [label="3\n1/27"]
        "3_-3" -> "4_-4"
        "3_-3" -> "4_-3"
        "3_-3" -> "4_-2"
        "3_-2" -> "4_-3"
        "3_-2" -> "4_-2"
        "3_-2" -> "4_-1"
        "3_-1" -> "4_-2"
        "3_-1" -> "4_-1"
        "3_-1" -> "4_0"
        "3_0" -> "4_-1"
        "3_0" -> "4_0"
        "3_0" -> "4_1"
        "3_1" -> "4_0"
        "3_1" -> "4_1"
        "3_1" -> "4_2"
        "3_2" -> "4_1"
        "3_2" -> "4_2"
        "3_2" -> "4_3"
        "3_3" -> "4_2"
        "3_3" -> "4_3"
        "3_3" -> "4_4"

        "4_-4" [label="-4\n1/81"]
        "4_-3" [label="-3\n4/81"]
        "4_-2" [label="-2\n10/81"]
        "4_-1" [label="-1\n16/81"]
        "4_0" [label="0\n19/81"]
        "4_1" [label="1\n16/81"]
        "4_2" [label="2\n10/81"]
        "4_3" [label="3\n4/81"]
        "4_4" [label="4\n1/81"]
        
}

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:

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.

This file is licensed under the Creative Commons Attribution-ShareAlike license versions 2.5, 2.0, and 1.0.

You may select the license of your choice.

File history

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	Date/Time	Dimensions	User	Comment
current	19:11, 7 August 2007	868×538 (17 KB)	Bromskloss (Talk \| contribs)	({{Information \|Description=A tree describing the process of throwing four Fudge dice and computing their sum. The uppermost row is the starting position (<math>0</math> dice thrown), the next row contains the possible )