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7.3.4 Visualization of hexagonal hierarchies using mapplets
Another method of visualizing hexagonal hierarchies looks simultaneously
at connection patterns between multiple hierarchical layers of urban loca-
tion maps and captures them as Java Applets: As Mapplets, as was done with
Varroa mite diffusion in the last chapter (Sammataro, D. et al., 1998, 2009,
2010, 2011). This process suggests a measure of visual stability of the geo-
metric connectivity pattern that is related to the dimensions of the bounding
box. It also suggests mathematical paths for developing image structure in a
manner conceptually parallel to the ideas behind established vector format.
Figures 7.9a and b show screen captures of Mapplets for the Marketing and
Transportation hierarchies, respectively.
Mapplets focus on the connection patterns between successive hierarchical
layers and, when K values are loaded as distances between hierarchies, they
also suggest some elusive form of structural stability of the geometric form.
Animated maps of central place geometry of the plane, coupled with map-
plets showing animated hierarchical pattern alone, might also suggest a three-
dimensional view of central place geometry (Arlinghaus and Arlinghaus,
2004). Current technology offers variety in the visualization of hierarchies,
from the classical geometry of central place theory, to the practical world of
census data based on the connection of the hierarchy of census units ( Figure
7.10 ). In both the census and central place models, as well as in a multitude
of other hierarchies, there are diagrams based on areal units with complex
Figure 7.9 (a) Marketing Mapplet. (b) Transportation Mapplet. Source: Arlinghaus,
S. L. and W. C. Arlinghaus. 2005. Spatial Synthesis: Volume I, Centrality and
Hierarchy. Book 1. http://www-personal.umich.edu/%7Ecopyrght/image/books/
Spatial%20Synthesis2/
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