scholarly journals Simplifying dependent reductions in the polyhedral model

2021 ◽  
Vol 5 (POPL) ◽  
pp. 1-33
Author(s):  
Cambridge Yang ◽  
Eric Atkinson ◽  
Michael Carbin
Keyword(s):  
Polyhedral Model

Tabula III: Kepler’s Mysterious Polyhedral Model

2017 ◽  
Vol 48 (3) ◽  
pp. 281-311 ◽  
Author(s):  
Noam Andrews
Keyword(s):  
Decorative Arts ◽  
Major Work ◽  
Polyhedral Model ◽  
Polyhedral Geometry

The article addresses the genesis and visualization of the capstone image to Kepler’s polyhedral hypothesis of the planetary intervals from his first major work, Mysterium Cosmographicum (1596). The contention is that the famous Tabula III was directed less by Kepler than it was an initiative spearheaded by Georg Gruppenbach, the printer of Mysterium, and Kepler’s mentor Michael Mäistlin, who sought to produce a marketable broadsheet that would appeal to the contemporary German fashion for illustrations of polyhedral geometry. More generally, the article seeks to redefine the key role played by the printing workshop and the decorative arts in the theory’s inception and ultimate graphic manifestation.

ChemInform Abstract: Ligand Polyhedral Model and Its Application to the Binary Carbonyls

ChemInform ◽  
2010 ◽  
Vol 24 (37) ◽  
pp. no-no
Author(s):  
B. F. G. JOHNSON ◽  
Y. V. ROBERTS
Keyword(s):  
Polyhedral Model

The ligand polyhedral model and its application to the fluxional behaviour of M4(CO)12−n (M  Co, Rh, Ir; n = 1, 2, 4 clusters

1995 ◽  
Vol 229 (1-2) ◽  
pp. 221-227 ◽  
Author(s):  
Yvonne V. Roberts ◽  
Brian F.G. Johnson ◽  
R.E. Benfield
Keyword(s):  
Polyhedral Model

Handling Blending Features in Form Feature Recognition Using Convex Decomposition

1994 ◽  
Author(s):  
Sreekumar Menon ◽  
Yong Se Kim
Keyword(s):  
Feature Recognition ◽  
Boundary Representation ◽  
Recognition Method ◽  
Geometric Information ◽  
Polyhedral Model ◽  
Curved Boundary ◽  
Convex Decomposition ◽  
Geometric Objects ◽  
Form Features ◽  
Form Feature

Abstract Form features intrinsic to the product shape can be recognized using a convex decomposition called Alternating Sum of Volumes with Partitioning (ASVP). However, the domain of geometric objects to which ASVP decomposition can be applied had been limited to polyhedral solids due to the difficulty of convex hull construction for solids with curved boundary faces. We develop an approach to extend the geometric domain to solids having cylindrical and blending features. Blending surfaces are identified and removed from the boundary representation of the solid, and a polyhedral model of the unblended solid is generated while storing the cylindrical geometric information. From the ASVP decomposition of the polyhedral model, polyhedral form features are recognized. Form feature decomposition of the original solid is then obtained by reattaching the stored blending and cylindrical information to the form feature components of its polyhedral model. In this way, a larger domain of solids can be covered by the feature recognition method using ASVP decomposition. In this paper, handling of blending features in this approach is described.

An idealized polyhedral model and geometric structure for silicon nanotubes

2009 ◽  
Vol 21 (7) ◽  
pp. 075301 ◽  
Author(s):  
Richard K F Lee ◽  
Barry J Cox ◽  
James M Hill
Keyword(s):  
Geometric Structure ◽  
Polyhedral Model ◽  
Silicon Nanotubes
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