AbstractMany complex structures may be generated from simple modules with the aid of an algorithm or generating rule. The properties of space generally impose restrictions on the shape of the module. As examples we consider tilings of the euclidean plane and of the sphere, lattices and lattice complexes, Dirichlet Domains and space-filling, and the decomposition and recombining of some polyhedra into space fillers
This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The pa...
Abstract The paper surveys highlights of the ongoing program to classify discrete polyhedral structu...
We focus on portions of the constructive geometry of early Hindu temple cellas from western India, t...
AbstractMany complex structures may be generated from simple modules with the aid of an algorithm or...
In this paper we describe the data structures and the procedures of a program, which is...
In the 1960’s and 1970’s, mathematicians discovered geometric patterns which displayed a high degree...
This paper shows a methodology for reducing the complex design process of space structures to an ade...
Aperiodic tilings are interesting to mathematicians and scientists for both theoretical and practica...
The design of building construction parts often means design synthesis: complex parts will be genera...
After the discovery of the 219 (230) Euclidean three-dimensional space groups many interesting quest...
Abstract. The polytope structure of the associahedron is decomposed into two categories, types and c...
This paper serves as an introduction to the study of algebraic topology or homology theory. It focus...
AbstractWe investigate the problem of producing symmetric tilings by programs in a uniform way. By t...
This book contains recent contributions to the fields of rigidity and symmetry with two primary focu...
This work concentrates on the extension of classical mesh morphing (between two shapes) to the linea...
This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The pa...
Abstract The paper surveys highlights of the ongoing program to classify discrete polyhedral structu...
We focus on portions of the constructive geometry of early Hindu temple cellas from western India, t...
AbstractMany complex structures may be generated from simple modules with the aid of an algorithm or...
In this paper we describe the data structures and the procedures of a program, which is...
In the 1960’s and 1970’s, mathematicians discovered geometric patterns which displayed a high degree...
This paper shows a methodology for reducing the complex design process of space structures to an ade...
Aperiodic tilings are interesting to mathematicians and scientists for both theoretical and practica...
The design of building construction parts often means design synthesis: complex parts will be genera...
After the discovery of the 219 (230) Euclidean three-dimensional space groups many interesting quest...
Abstract. The polytope structure of the associahedron is decomposed into two categories, types and c...
This paper serves as an introduction to the study of algebraic topology or homology theory. It focus...
AbstractWe investigate the problem of producing symmetric tilings by programs in a uniform way. By t...
This book contains recent contributions to the fields of rigidity and symmetry with two primary focu...
This work concentrates on the extension of classical mesh morphing (between two shapes) to the linea...
This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The pa...
Abstract The paper surveys highlights of the ongoing program to classify discrete polyhedral structu...
We focus on portions of the constructive geometry of early Hindu temple cellas from western India, t...
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