The term -erected
polygon graph is a term adopted in this work to describe the graph on
vertices obtained by erecting
-gons on the sides of a central
-gon. A number of cases are illustrated above.
The special case
corresponds to the 2-triangular grid graph
and the case
corresponds to the x-pentomino.
The -erected
polygon graph can be given a circular
-gonal embedding with an embedded regular
-gon, as illustrated above.
The -erected
polygon graph is illustrated above in several embeddings. The third of these corresponds
to the logo of Dresdener Bank (Michael T, 2025).
In some cases, such as those illustrated above, vertices of erected regular polygons coincide.
Erected polygon graphs are unit-distance by construction.