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Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles
-
Josep M. Brunat
and
Montserrat Maureso
Published/Copyright:
February 24, 2011
Abstract
We give explicit formulae for obtaining the binary sequences which produce Steinhaus triangles and generalized Pascal triangles with rotational and dihedral symmetries.
Keywords.: Steinhaus triangle; Pascal triangle; symmetric binary triangles; rotational symmetry; dihedral symmetry
Received: 2009-12-28
Accepted: 2010-09-07
Published Online: 2011-02-24
Published in Print: 2011-February
© de Gruyter 2011
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Articles in the same Issue
- Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles
- Unbounded Discrepancy in Frobenius Numbers
- Combinatorial Interpretations of Convolutions of the Catalan Numbers
- Quadratic Forms and Four Partition Functions Modulo 3
- On Bases with a T-Order
- Van der Waerden's Theorem and Avoidability in Words
- On a Class of Ternary Inclusion-Exclusion Polynomials
Keywords for this article
Steinhaus triangle;
Pascal triangle;
symmetric binary triangles;
rotational symmetry;
dihedral symmetry
Articles in the same Issue
- Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles
- Unbounded Discrepancy in Frobenius Numbers
- Combinatorial Interpretations of Convolutions of the Catalan Numbers
- Quadratic Forms and Four Partition Functions Modulo 3
- On Bases with a T-Order
- Van der Waerden's Theorem and Avoidability in Words
- On a Class of Ternary Inclusion-Exclusion Polynomials
