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» Proof and Computation in Geometry
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COMPGEOM
2007
ACM
15 years 10 months ago
Inflating the cube by shrinking
We present a continuous submetric deformation of the surface of the cube which increases the enclosed volume by about 25.67%. Categories and Subject Descriptors: I.3.5 [Computatio...
Kevin Buchin, André Schulz
CORR
2008
Springer
70views Education» more  CORR 2008»
15 years 6 months ago
Every Computably Enumerable Random Real Is Provably Computably Enumerable Random
We prove that every computably enumerable (c.e.) random real is provable in Peano Arithmetic (PA) to be c.e. random. A major step in the proof is to show that the theorem stating ...
Cristian S. Calude, Nicholas J. Hay
ICCSA
2011
Springer
14 years 9 months ago
On the Parametric Representation of Dynamic Geometry Constructions
This paper describes an ongoing implementation of an open source library dealing with parametric representation of dynamic geometry constructions. We show how some current issues i...
Francisco Botana
DAM
2007
88views more  DAM 2007»
15 years 6 months ago
Digital planarity - A review
Digital planarity is defined by digitizing Euclidean planes in the three-dimensional digital space of voxels; voxels are given either in the grid point or the grid cube model. Th...
Valentin E. Brimkov, David Coeurjolly, Reinhard Kl...
COMPUTING
2007
424views more  COMPUTING 2007»
15 years 6 months ago
Anamorphic 3D geometry
An anamorphic image appears distorted from all but a few viewpoints. They have been studied by artists and architects since the early fifteenth century. Computer graphics opens t...
Dianne Hansford, D. Collins