The term -erected
polygon graph is a term adopted in this work to describe the graph
on
vertices obtained by erecting polygons
with
sides on the sides of a central polygon with
sides. A number of cases are illustrated above.
A -erected
polygon graph with
is called the "cycle ciclo"
by Almodovar et al. (2010); cf. the AIM Minimum
Rank Catalog.
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 graph drawing with an embedded regular
polygon having
sides, as illustrated above.
The -erected
polygon graph is illustrated above in several drawings. 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.