Elements of Polyhedral Geometry

2005 ◽  
pp. 123-168
Keyword(s):  
Polyhedral Geometry

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.

scholarly journals Some recent progress on inverse scattering problems within general polyhedral geometry

2021 ◽  
Vol 29 (1) ◽  
pp. 1753-1782 ◽  
Author(s):  
Xinlin Cao ◽  
◽  
Huaian Diao ◽  
Jinhong Li ◽  
◽  
...  
Keyword(s):  
Inverse Scattering ◽  
Recent Progress ◽  
Scattering Problems ◽  
Polyhedral Geometry ◽  
Inverse Scattering Problems

Edges versus circuits: a hierarchy of diameters in polyhedra

2016 ◽  
Vol 16 (4) ◽  
Author(s):  
S. Borgwardt ◽  
J. A. De Loera ◽  
E. Finhold
Keyword(s):  
Open Problem ◽  
Linear Optimization ◽  
Graph Diameter ◽  
Polyhedral Geometry

AbstractThe study of the graph diameter of polytopes is a classical open problem in polyhedral geometry and the theory of linear optimization. In this paper we continue the investigation initiated in [

Partition analysis via polyhedral geometry

2013 ◽  
Vol 46 (3/4) ◽  
pp. 76-77
Author(s):  
Felix Breuer ◽  
Zafeirakis Zafeirakopoulos
Keyword(s):  
Polyhedral Geometry ◽  
Partition Analysis

scholarly journals Polyhedral Geometry of Phylogenetic Rogue Taxa

2010 ◽  
Vol 73 (6) ◽  
pp. 1202-1226 ◽  
Author(s):  
María Angélica Cueto ◽  
Frederick A. Matsen
Keyword(s):  
Polyhedral Geometry

scholarly journals The Effectiveness of Interactive Module Based on Lectora™ to Improve Secondary School Students’ Spatial Ability

2017 ◽  
Vol 7 (2) ◽  
pp. 95-102
Author(s):  
Tika Septia ◽  
Sofia Edriati ◽  
Merina Pratiwi
Keyword(s):  
Action Research ◽  
Secondary School ◽  
Spatial Ability ◽  
Test Score ◽  
Secondary School Students ◽  
School Students ◽  
Plan Implementation ◽  
Polyhedral Geometry ◽  
Maximum Test ◽  
Grade 8

Polyhedral geometry is a topic that requires students’ spatial ability. The study aims at evaluating the effectiveness of the implementation of the interactive module based on Lectora™ for students. Action research was adopted for this study. This research consisted of two cycles where each followed the steps: plan, implementation, observation, and reflection. The subjects of this study was students Grade 8 of SMP Taman Siswa. In general, learning is said to be effective if at least 85% of students pass the test. The findings show that 75% of the students in cycle I got maximum test score and in cycle II the percentage increases to 87.5%.

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