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HSBC Graph


HSBCGraphLogoEmbedding

The term "HSBC graph" is used in this work for the seven-vertex, twelve-edge planar graph formed by the boundaries of the six triangular regions in the hexagonal logo of HSBC (Deza and Shtogrin 2002, HSBC), an international banking group named for the Hongkong and Shanghai Banking Corporation (HSBC History). The logo is shown at left above, with the planar straight-line embedding that follows its outline at right.

The Chase graph is another planar graph defined by the boundaries of a bank logo.

HSBCGraphEmbeddings

Three other straight-line drawings of the graph are shown above.

SporadicTriangleDissectionGraph

The same graph is common to seven six-piece triangle dissections supplied by E. Pegg, Jr. (pers. comm., Nov. 6, 2026). The vertices are the corners and junctions of the pieces, and the edges join consecutive vertices along the sides of the pieces.

In each of the seven dissections illustrated above, the pieces are similar triangles with the same shape as the outer triangle. The seven layouts use four outer shapes, including four different arrangements in the same rho-014 triangle, where rho is the plastic constant. Corresponding bounded faces have the same color.

It is also the line graph L(B_4) of the fourth Beineke graph.

The graph will be implemented in a future version of the Wolfram Language as GraphData["HSBCGraph"].


See also

Chase Graph, Graph Embedding, Triangle Dissection--Exceptional Shapes

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References

Deza, M. and Shtogrin, M. "Clusters of Cycles." J. Geom. Phys. 40, 302-319, 2002. https://doi.org/10.1016/S0393-0440(01)00040-7.House of Graphs. "L(Beineke non-line graph G4)." https://houseofgraphs.org/graphs/51299.HSBC. "HSBC Logo." https://www.hsbc.com/-/files/hsbc/header/hsbc-logo-200x25.svg.HSBC History. "HSBC History Timeline - 1980-1999 - Global Reach." https://history.hsbc.com/history/timeline/era-4.HSBC History. "The Hongkong and Shanghai Banking Corporation." https://history.hsbc.com/collections/global-archives/the-hongkong-and-shanghai-banking-corporation-1.

Cite this as:

Weisstein, Eric W. "HSBC Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HSBCGraph.html

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