Aperiodic tilings of the hyperbolic plane by convex polygons

1998 ◽  
Vol 107 (1) ◽  
pp. 319-325 ◽  
Author(s):  
G. A. Margulis ◽  
S. Mozes
Keyword(s):  
Hyperbolic Plane ◽  
Convex Polygons ◽  
Aperiodic Tilings

Barker–Larman Problem for Convex Polygons in the Hyperbolic Plane

2015 ◽  
Vol 68 (3-4) ◽  
pp. 519-525 ◽  
Author(s):  
Vasyl Gorkavyy ◽  
Dmytro Kalinin
Keyword(s):  
Hyperbolic Plane ◽  
Convex Polygons

Convex-Straight-Skeleton Voronoi Diagrams for Segments and Convex Polygons

Algorithmica ◽  
2021 ◽  
Author(s):  
Gill Barequet ◽  
Minati De ◽  
Michael T. Goodrich
Keyword(s):  
Voronoi Diagrams ◽  
Convex Polygons

scholarly journals Relating diffraction and spectral data of aperiodic tilings: Towards a Bloch theorem

2021 ◽  
pp. 104217
Author(s):  
Eric Akkermans ◽  
Yaroslav Don ◽  
Jonathan Rosenberg ◽  
Claude L. Schochet
Keyword(s):  
Spectral Data ◽  
Aperiodic Tilings ◽  
Bloch Theorem

scholarly journals Foraging range and habitat use by Cape Vulture Gyps coprotheres from the Msikaba colony, Eastern Cape province, South Africa

Koedoe ◽  
2015 ◽  
Vol 57 (1) ◽  
Author(s):  
Morgan B. Pfeiffer ◽  
Jan A. Venter ◽  
Colleen T. Downs
Keyword(s):  
South Africa ◽  
Protected Areas ◽  
Breeding Season ◽  
Movement Ecology ◽  
Kernel Density ◽  
Eastern Cape Province ◽  
Eastern Cape ◽  
Convex Polygons ◽  
Density Estimates ◽  
Kernel Density Estimates

Despite the extent of subsistence farmland in Africa, little is known about endangered species that persist within them. The Cape Vulture (Gyps coprotheres) is regionally endangered in southern Africa and at least 20% of the population breeds in the subsistence farmland area previously known as the Transkei in the Eastern Cape province of South Africa. To understand their movement ecology, adult Cape Vultures (n = 9) were captured and fitted with global positioning system/global system for mobile transmitters. Minimum convex polygons (MCPs),and 99% and 50% kernel density estimates (KDEs) were calculated for the breeding and non breeding seasons of the Cape Vulture. Land use maps were constructed for each 99% KDE and vulture locations were overlaid. During the non-breeding season, ranges were slightly larger(mean [± SE] MCP = 16 887 km2 ± 366 km2) than the breeding season (MCP = 14 707 km2 ± 2155 km2). Breeding and non-breeding season MCPs overlapped by a total of 92%. Kernel density estimates showed seasonal variability. During the breeding season, Cape Vultures used subsistence farmland, natural woodland and protected areas more than expected. In the non-breeding season, vultures used natural woodland and subsistence farmland more than expected, and protected areas less than expected. In both seasons, human-altered landscapes were used less, except for subsistence farmland.Conservation implications: These results highlight the importance of subsistence farm land to the survival of the Cape Vulture. Efforts should be made to minimise potential threats to vultures in the core areas outlined, through outreach programmes and mitigation measures.The conservation buffer of 40 km around Cape Vulture breeding colonies should be increased to 50 km.

In a Class With Klein: Generating A Model of the Hyperbolic Plane

PRIMUS ◽  
2012 ◽  
Vol 22 (2) ◽  
pp. 85-96
Author(s):  
Samuel Otten ◽  
Christopher Zin
Keyword(s):  
Hyperbolic Plane

scholarly journals Small distances in convex polygons

2013 ◽  
Vol 313 (18) ◽  
pp. 1767-1782 ◽  
Author(s):  
Filip Morić
Keyword(s):  
Convex Polygons

On the inversion of the geodesic Radon transform on the hyperbolic plane

1997 ◽  
Vol 13 (4) ◽  
pp. 1053-1062 ◽  
Author(s):  
Sergei Lissianoi ◽  
Igor Ponomarev
Keyword(s):  
Radon Transform ◽  
Hyperbolic Plane
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