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Simple Fission Graphs

See this paper for more background on fission graphs (online version).

Click for some instructions/background

Some simple examples:

Name Part sizes Dimension Remarks
Triangle $\wh A_2$ $1,1,1$ $2$ Painlevé $4$
Square $\wh A_3$ $2,2,0$ $2$ Painlevé $5$
Diamond $1,1,2$ $4$
Pyramid $1,2,2$ $8$
Octahedron $2,2,2$ $14$
Four-pointed star $\wh D_4$ $1,4,0$ $2$ Painlevé $6$, with dimension $2$ at central node


Adjacency Matrix

Node Dimensions