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On Decompositions of a Cube into Cubes and Simplexes
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Alexander Kharazishvili
Published/Copyright:
March 10, 2010
Abstract
Some combinatorial results concerning finite decompositions (dissections) of a π-dimensional cube into cubes (respectively, simplexes) of the same dimension are presented in the paper. In connection with such decompositions, the notion of a decomposability number is introduced and the problem of description of all these numbers is discussed.
Key words and phrases:: Cube; simplex; finite decomposition; decomposability number; convex polyhedron; primitive extension; primitive polyhedron
Received: 2005-08-18
Published Online: 2010-03-10
Published in Print: 2006-June
Β© Heldermann Verlag
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Keywords for this article
Cube;
simplex;
finite decomposition;
decomposability number;
convex polyhedron;
primitive extension;
primitive polyhedron
Articles in the same Issue
- Semimartingale Local Time and the American Put Option
- Existence Theory for Perturbed Nonlinear Boundary Value Problems with Integral Boundary Conditions
- A Generalization of Bihari's Lemma for Discontinuous Functions and Its Application to the Stability Problem of Differential Equations with Impulse Disturbance
- Existence Results for First and Second Order Nonconvex Sweeping Processes with Perturbations and with Delay: Fixed Point Approach
- The Potential Method for the Reactance Wave Diffraction Problem in a Scale of Spaces
- On the Continuity of the Nemytskij Operator between the Spaces πΏπ1(π) and πΏπ2(π)
- Monadic π΅πΏ-Algebras
- Rate of Approximation for Certain Durrmeyer Operators
- On Decompositions of a Cube into Cubes and Simplexes
- A Positive Answer to Velichko's Question
- An Inverse Result in Simultaneous Approximation by Modified Beta Operators
- Weyl's Theorem for Algebraically (π, π)-Quasihyponormal Operators
- Modulus of Continuity and Best Approximation with Respect to Vilenkin-Like Systems in Some Function Spaces
- Exact Distributions of the Product and Ratio of Absolute Values of Pearson Type VII and Bessel Function Random Variables
- An Automatically Stable and Order Three Split Rational Approximation of a Semigroup
- Selfadjoint Operators and Generalized Central Algorithms in Frechet Spaces
- Oscillation Theorems for Certain Even Order Delay Differential Equations Involving General Means
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