Virtual Reality
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K=3 Poles K=3 central place dot scatter produces a field of poles of height varying according to the principles of the associated central place hierarchy.
K=4 Poles K=4 central place dot scatter produces a field of poles of height varying according to the principles of the associated central place hierarchy.
K=7 Poles K=7 central place dot scatter produces a field of poles of height varying according to the principles of the associated central place hierarchy.


K=3 Solid Interactive virtual model showing single tile at three levels of detail.
K=3 Translucent Interactive virtual model showing single tile at three levels of detail.
K=4 Solid Interactive virtual model showing single tile at three levels of detaill. 
K=4 Translucent Interactive virtual model showing single tile at three levels of detail.
K=7 Solid Interactive virtual model showing single tile at three levels of detail.
K=7 Translucent Interactive virtual model showing single tile at three levels of detail.


Core Downtown Ann Arbor, existing core scene
1000 Downtown Ann Arbor, one scenario for 1000 new residential units
2500 Downtown Ann Arbor, one scenario for 2500 new residential units




Institute of Mathematical Geography.  Copyright, 2005, held by authors.
Spatial Synthesis:  Centrality and Hierarchy, Volume I, Book 1.
Sandra Lach Arlinghaus and William Charles Arlinghaus