CoM | Mining the Soma Cube for Gems: Isomorphic Subgraphs Reveal Equivalence Classes

Friday October 21, 2022
– Live Presentation with Edward Vogel
 

Session at Noon ET (Atlanta Time).*
(*) 16:00 UTC/GMT

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There will be a Gather session at the conclusion of the talk, for socializing.  To be added to the attendance list to be able to join please contact us via gather@g4gfoundation.org

Mining the Soma Cube for Gems: Isomorphic Subgraphs Reveal Equivalence Classes
Soma cubes are an example of a dissection puzzle, where an object is broken down into pieces, which must then be reassembled to form either the original shape or some new design. In this paper, we present some interesting discoveries regarding the Soma Cube. Equivalence classes form aesthetically pleasing shapes in the solution set of the puzzle. These gems are identified by subgraph isomorphisms using SNAP!/Edgy, a simple block-based computer programming language. Our preliminary findings offer several opportunities for researchers from middle school to undergraduate to utilize graphs, group theory, topology, and computer science to discover connections between computation and geometric patterns.
Edward Vogel is a child of the 60s and a US Navy veteran, where he lived out his snide remark “no, an engineer on a boat” to a doubtful high school math teacher.  Largely self educated in electrical engineering and mathematics he lives in Minneapolis working in medical device R&D by day and STEM/Arts education nights and weekends.

2 thoughts on “CoM | Mining the Soma Cube for Gems: Isomorphic Subgraphs Reveal Equivalence Classes

  1. Thorleif Bundgaard Reply

    This promises to be a very interesting session, especially the reference to the shapes of the 7 SOMA pieces.
    I do hope this talk will be recorded so I can watch it later – as the timing is unfortunate for me, here in Denmark/Europe.

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