polyhedral geometry
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2021 ◽  
Vol 29 (1) ◽  
pp. 1753-1782 ◽  
Author(s):  
Xinlin Cao ◽  
◽  
Huaian Diao ◽  
Jinhong Li ◽  
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...  


2020 ◽  
Vol 13 (3) ◽  
pp. 401-417
Author(s):  
Carlos Alberto Nader Manrique ◽  
Alex Leandro Perez Perez ◽  
Camilo Andres Cifuentes Quin ◽  
Helmut Geofre Ramos Calonge

In response to the COVID-19 global pandemic, the Colombian Ministry of Science and Technology launched the call for research proposals MinCienciatón. The call invited researchers in different fields, including epidemiology and biomedical design, to present solutions that help mitigate the health emergency produced by the fast spread of the virus worldwide. Among other subjects of interest, the call encouraged researchers to present ideas for the isolation of infected patients and the protection of medical staff. In this context, the LAB[1] was selected to design and produce a Portable Epidemiological Isolation Unit. Product of the laboratory’s research in polyhedral geometry and ephemeral architecture, we designed a pneumatic structure which permits the treatment of infected patients in aseptic and well ventilated spaces – as well as the isolation of medical staff and equipment. In the event that the health system becomes saturated, the Portable Epidemiological Isolation Unit will allow the sanitary authorities to expand its hospital capacity when needed. It will also permit the installation of field hospitals in isolated areas of the national territory that do not count with the necessary infrastructure to cope with the sanitary crisis. [1] In compliance with the blind evaluation policy of the journal, this proposal does not mention the name of the laboratory in question nor its institutional bond.



2020 ◽  
Vol 30 (04) ◽  
pp. 861-882
Author(s):  
Winfried Bruns ◽  
Pedro García-Sánchez ◽  
Christopher O’Neill ◽  
Dane Wilburne

We give an algorithm to determine whether Wilf’s conjecture holds for all numerical semigroups with a given multiplicity [Formula: see text], and use it to prove Wilf’s conjecture holds whenever [Formula: see text]. Our algorithm utilizes techniques from polyhedral geometry, and includes a parallelizable algorithm for enumerating the faces of any polyhedral cone up to orbits of an automorphism group. We also introduce a new method of verifying Wilf’s conjecture via a combinatorially flavored game played on the elements of a certain finite poset.



2017 ◽  
Vol 7 (2) ◽  
pp. 95-102
Author(s):  
Tika Septia ◽  
Sofia Edriati ◽  
Merina Pratiwi

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%.



2017 ◽  
Vol 65 ◽  
pp. 230-252 ◽  
Author(s):  
Felix Breuer ◽  
Dennis Eichhorn ◽  
Brandt Kronholm
Keyword(s):  


2017 ◽  
Vol 48 (3) ◽  
pp. 281-311 ◽  
Author(s):  
Noam Andrews

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.





2017 ◽  
Vol 108 (3) ◽  
pp. 837-849 ◽  
Author(s):  
Joel C. Langer


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