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CAGD
2008
99views more  CAGD 2008»
13 years 7 months ago
On quadratic two-parameter families of spheres and their envelopes
In the present paper we investigate rational two-parameter families of spheres and their envelope surfaces in Euclidean R3. The four dimensional cyclographic model of the set of s...
Martin Peternell, Boris Odehnal, Maria Lucia Sampo...
COMBINATORICS
2006
113views more  COMBINATORICS 2006»
13 years 7 months ago
Tilings of the Sphere with Right Triangles II: The (1, 3, 2), (0, 2, n) Subfamily
Sommerville [8] and Davies [2] classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile t...
Robert J. MacG. Dawson, Blair Doyle
COMBINATORICS
2006
88views more  COMBINATORICS 2006»
13 years 7 months ago
Tilings of the Sphere with Right Triangles I: The Asymptotically Right Families
Sommerville [10] and Davies [2] classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile ...
Robert J. MacG. Dawson, Blair Doyle
CG
2005
Springer
13 years 7 months ago
Sphere inversion fractals
Three-dimensional fractals consisting of constellations of spheres can be constructed by iterative sphere inversions. Three methods are explored in this brief artistic statement. ...
Jos Leys
CCCG
2007
13 years 8 months ago
Spiralling and Folding: The Topological View
For every n, we construct two arcs in the four-punctured sphere that have at least n intersections and which do not form spirals. This is accomplished in several steps: we first ...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic