ACM SIGACT News
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Davenport-Schinzel sequences and their geometric applications
Davenport-Schinzel sequences and their geometric applications
A first course in geometric topology and differential geometry
A first course in geometric topology and differential geometry
The Computational Geometry Column #4
ACM SIGGRAPH Computer Graphics
On the Recognition of Properties of Three-Dimensional Pictures
IEEE Transactions on Pattern Analysis and Machine Intelligence
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A configuration of unit cubes in three dimensions with integer coordinates is called an animal if the boundary of their union is homeomorphic to a sphere. Shermer discovered several animals from which no single cube may be removed such that the resulting configurations are also animals [14]. Here we obtain a dual result: we give an example of an animal to which no cube may be added within its minimal bounding box such that the resulting configuration is also an animal. We also present two O(n)-time algorithms for determining whether a given configuration of n unit cubes is an animal.