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Lower estimate of the square-to-linear ratio for regular Peano curves
Published/Copyright:
September 2, 2014
Abstract
We prove that the square-to-linear ratio of a regular Peano curve that maps the unit interval onto the unit square is at least five.
Published Online: 2014-9-2
Published in Print: 2014-6-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Lower estimate of the square-to-linear ratio for regular Peano curves
- Properties of polynomials of periodic functions and the complexity of periodicity detection by the Boolean function polynomial
- On uniqueness of alphabetical decoding of ø-regular languages
- On cardinality of bigram languages
- On the distance from permutations to the union of all imprimitive groups with identical parameters of imprimitivity systems
- Positive integer solutions of systems of linear equations and polynomials of small weight divisible by (1 − x)r
Keywords for this article
fractals;
Peano curve;
numerical fractal invariants;
square-to-linear ratio
Articles in the same Issue
- Frontmatter
- Lower estimate of the square-to-linear ratio for regular Peano curves
- Properties of polynomials of periodic functions and the complexity of periodicity detection by the Boolean function polynomial
- On uniqueness of alphabetical decoding of ø-regular languages
- On cardinality of bigram languages
- On the distance from permutations to the union of all imprimitive groups with identical parameters of imprimitivity systems
- Positive integer solutions of systems of linear equations and polynomials of small weight divisible by (1 − x)r
