TOPICS
Search

HSBC Graph


HSBCLogo

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 HSBC's hexagonal logo, shown above (Deza and Shtogrin 2002, HSBC, HSBC History).

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.

SporadicTriangleDissectionGraph

The graph is illustrated above in several straight-line embeddings. In each of the seven dissections, 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 Chase graph is another planar graph defined by the boundaries of a bank logo.

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


See also

Graph Embedding, Triangle Dissection--Exceptional Shapes

Explore with Wolfram|Alpha

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. "Global Reach, 1980-1999." https://history.hsbc.com/history/timeline/era-4.

Cite this as:

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

Subject classifications