Malaysian Budget Visualization Using Circle Packing

2019 ◽  
pp. 81-90
Author(s):  
Nur Atiqah Sia Abdullah ◽  
Nursyahira Zulkeply ◽  
Zainura Idrus
Keyword(s):  
Circle Packing

A Bottom-Up Approach to Solution-Processed, Atomically Precise Graphitic Cylinders on Surfaces

2018 ◽  
Author(s):  
Erik Leonhardt ◽  
Jeff M. Van Raden ◽  
David Miller ◽  
Lev N. Zakharov ◽  
Benjamin Aleman ◽  
...  
Keyword(s):  
Self Assembly ◽  
Carbon Nanostructures ◽  
Carbon Nanomaterials ◽  
Circle Packing ◽  
Pyrolytic Graphite ◽  
Building Blocks ◽  
Bottom Up ◽  
Casting Technique ◽  
New Class ◽  
Solution Casting Technique

Extended carbon nanostructures, such as carbon nanotubes (CNTs), exhibit remarkable properties but are difficult to synthesize uniformly. Herein, we present a new class of carbon nanomaterials constructed via the bottom-up self-assembly of cylindrical, atomically-precise small molecules. Guided by supramolecular design principles and circle packing theory, we have designed and synthesized a fluorinated nanohoop that, in the solid-state, self-assembles into nanotube-like arrays with channel diameters of precisely 1.63 nm. A mild solution-casting technique is then used to construct vertical “forests” of these arrays on a highly-ordered pyrolytic graphite (HOPG) surface through epitaxial growth. Furthermore, we show that a basic property of nanohoops, fluorescence, is readily transferred to the bulk phase, implying that the properties of these materials can be directly altered via precise functionalization of their nanohoop building blocks. The strategy presented is expected to have broader applications in the development of new graphitic nanomaterials with π-rich cavities reminiscent of CNTs.

Improved Domain Partitions for Variational Circle Packing

2018 ◽  
Vol 30 (7) ◽  
pp. 1251
Author(s):  
Lijuan Yu ◽  
Juan Cao ◽  
Zhonggui Chen
Keyword(s):  
Circle Packing

scholarly journals Advancing front circle packing to approximate conformal strips

2013 ◽  
Vol 46 (1) ◽  
pp. 105-118 ◽  
Author(s):  
R. Dorado ◽  
B. Pivec ◽  
E. Torres-Jimenez
Keyword(s):  
Circle Packing ◽  
Advancing Front

scholarly journals Price-and-verify: a new algorithm for recursive circle packing using Dantzig–Wolfe decomposition

2018 ◽  
Vol 284 (2) ◽  
pp. 527-555 ◽  
Author(s):  
Ambros Gleixner ◽  
Stephen J. Maher ◽  
Benjamin Müller ◽  
João Pedro Pedroso
Keyword(s):  
Circle Packing

Polynomial-Time Approximation Schemes for Circle Packing Problems

2014 ◽  
pp. 713-724 ◽  
Author(s):  
Flávio K. Miyazawa ◽  
Lehilton L. C. Pedrosa ◽  
Rafael C. S. Schouery ◽  
Maxim Sviridenko ◽  
Yoshiko Wakabayashi
Keyword(s):  
Polynomial Time ◽  
Circle Packing ◽  
Approximation Schemes ◽  
Packing Problems ◽  
Time Approximation ◽  
Polynomial Time Approximation

Combinatorial Ricci Flow for Degenerate Circle Packing Metrics

2019 ◽  
Vol 24 (3) ◽  
pp. 298-311
Author(s):  
Ruslan Yu. Pepa ◽  
Theodore Yu. Popelensky
Keyword(s):  
Ricci Flow ◽  
Circle Packing ◽  
Combinatorial Ricci Flow
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