Summary

 

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Licensing

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.

https://creativecommons.org/licenses/by-sa/3.0CC BY-SA 3.0 Creative Commons Attribution-Share Alike 3.0 truetrue

How it was made

GAP^[1] is a CAS software ^[2]. To run :

/usr/share/gap/bin/gap.sh

Load package fr by Laurent Bartholdi ^[3]

LoadPackage("fr");
Draw(NucleusMachine(BasilicaGroup),"a.dot");

Saves output to a.dot files :

digraph MealyMachine {
a [shape=circle]
b [shape=circle]
c [shape=circle]
d [shape=circle]
e [shape=circle]
f [shape=circle]
g [shape=circle]
 a -> a [label="1/1",color=red];
 a -> a [label="2/2",color=blue];
 b -> a [label="1/1",color=red];
 b -> d [label="2/2",color=blue];
 c -> a [label="1/1",color=red];
 c -> e [label="2/2",color=blue];
 d -> a [label="1/2",color=red];
 d -> b [label="2/1",color=blue];
 e -> c [label="1/2",color=red];
 e -> a [label="2/1",color=blue];
 f -> a [label="1/2",color=red];
 f -> g [label="2/1",color=blue];
 g -> f [label="1/2",color=red];
 g -> a [label="2/1",color=blue];
}

Dot file is a text file describing graph in dot language. This a.dot file can be coverted to other formats using command line program dot. For example to svg :

dot -Tsvg a.dot -o a.svg

References

1. ↑ GAP software at wikipedia
2. ↑ CAS at wikipedia
3. ↑ FR package by Laurent Bartholdi for GAP CAS