scholarly journals Polyhedral Surfaces of High Genus

2008 ◽  
pp. 191-213 ◽  
Author(s):  
Günter M. Ziegler
Keyword(s):  
Polyhedral Surfaces ◽  
High Genus

Bottom-up Evolution from Disks to High-Genus Polymersomes

2018 ◽  
Author(s):  
Claudia Contini ◽  
Russell Pearson ◽  
Linge Wang ◽  
Lea Messager ◽  
Jens Gaitzsch ◽  
...  
Keyword(s):  
Self Assembly ◽  
The Self ◽  
Amphiphilic Copolymers ◽  
Chain Entanglement ◽  
Bottom Up ◽  
New Approach ◽  
High Genus ◽  
Transmission Electron ◽  
Minimal Radius ◽  
Stop Flow

<div><div><div><p>We report the design of polymersomes using a bottom-up approach where the self-assembly of amphiphilic copolymers poly(2-(methacryloyloxy) ethyl phosphorylcholine)–poly(2-(diisopropylamino) ethyl methacrylate) (PMPC-PDPA) into membranes is tuned using pH and temperature. We study this process in detail using transmission electron microscopy (TEM), nuclear magnetic resonance (NMR) spectroscopy, dynamic light scattering (DLS), and stop-flow ab- sorbance disclosing the molecular and supramolecular anatomy of each structure observed. We report a clear evolution from disk micelles to vesicle to high-genus vesicles where each passage is controlled by pH switch or temperature. We show that the process can be rationalised adapting membrane physics theories disclosing important scaling principles that allow the estimation of the vesiculation minimal radius as well as chain entanglement and coupling. This allows us to propose a new approach to generate nanoscale vesicles with genus from 0 to 70 which have been very elusive and difficult to control so far.</p></div></div></div>

Bottom-up Evolution from Disks to High-Genus Polymersomes

2018 ◽  
Author(s):  
Claudia Contini ◽  
Russell Pearson ◽  
Linge Wang ◽  
Lea Messager ◽  
Jens Gaitzsch ◽  
...  
Keyword(s):  
Self Assembly ◽  
The Self ◽  
Amphiphilic Copolymers ◽  
Chain Entanglement ◽  
Bottom Up ◽  
New Approach ◽  
High Genus ◽  
Transmission Electron ◽  
Minimal Radius ◽  
Stop Flow

<div><div><div><p>We report the design of polymersomes using a bottom-up approach where the self-assembly of amphiphilic copolymers poly(2-(methacryloyloxy) ethyl phosphorylcholine)–poly(2-(diisopropylamino) ethyl methacrylate) (PMPC-PDPA) into membranes is tuned using pH and temperature. We study this process in detail using transmission electron microscopy (TEM), nuclear magnetic resonance (NMR) spectroscopy, dynamic light scattering (DLS), and stop-flow ab- sorbance disclosing the molecular and supramolecular anatomy of each structure observed. We report a clear evolution from disk micelles to vesicle to high-genus vesicles where each passage is controlled by pH switch or temperature. We show that the process can be rationalised adapting membrane physics theories disclosing important scaling principles that allow the estimation of the vesiculation minimal radius as well as chain entanglement and coupling. This allows us to propose a new approach to generate nanoscale vesicles with genus from 0 to 70 which have been very elusive and difficult to control so far.</p></div></div></div>

Conformal Parameterization for High Genus Surfaces

2017 ◽  
Vol 29 (12) ◽  
pp. 2225 ◽  
Author(s):  
Kun Qian ◽  
Jialing Zhang ◽  
Yinghua Li ◽  
Yibin Lyu ◽  
Kehua Su
Keyword(s):  
High Genus

On the convergence of metric and geometric properties of polyhedral surfaces

2007 ◽  
Vol 123 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Klaus Hildebrandt ◽  
Konrad Polthier ◽  
Max Wardetzky
Keyword(s):  
Geometric Properties ◽  
Polyhedral Surfaces

Computing minimal distances on polyhedral surfaces

1989 ◽  
Vol 11 (9) ◽  
pp. 1001-1005 ◽  
Author(s):  
E. Wolfson ◽  
E.L. Schwartz
Keyword(s):  
Polyhedral Surfaces

scholarly journals Worst-case-optimal algorithms for guarding planar graphs and polyhedral surfaces

2003 ◽  
Vol 26 (3) ◽  
pp. 209-219 ◽  
Author(s):  
Prosenjit Bose ◽  
David Kirkpatrick ◽  
Zaiqing Li
Keyword(s):  
Planar Graphs ◽  
Optimal Algorithms ◽  
Worst Case ◽  
Polyhedral Surfaces
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