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Sierpinski carpet

Known as: Sierpiński carpet, Wallis sieve 
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is one generalization of the Cantor set to two… Expand
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Related topics

Related topics

17 relations
Brownian motionC++Cantor setFinite subdivision rule
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Multiband Plasmonic Sierpinski Carpet Fractal Antennas
Deterministic fractal antennas are employed to realize multimodal plasmonic devices. Such structures show strongly enhanced… Expand
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Highly Cited
2011
Highly Cited
2011
Miniaturized UWB Monopole Microstrip Antenna Design by the Combination of Giusepe Peano and Sierpinski Carpet Fractals
A fractal monopole antenna is proposed for the application in the UWB frequency range, which is designed by the combination of… Expand
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Highly Cited
2006
Highly Cited
2006
Deployment of mobile robots with energy and timing constraints
Mobile robots can be used in many applications, such as carpet cleaning, search and rescue, and exploration. Many studies have… Expand
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2005
2005
Microstrip Sierpinski carpet antenna design
Low cost of fabrication and low profile features of microstrip antennas, attract many researchers to investigate the performance… Expand
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Highly Cited
2005
Highly Cited
2005
Dating nodes on molecular phylogenies: a critique of molecular biogeography
Taxa have been dated using three methods: equating their age with the age of the oldest known fossil, with the age of strata the… Expand
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Highly Cited
2005
Highly Cited
2005
A case study of mobile robot's energy consumption and conservation techniques
Mobile robots are used in many applications, such as carpet cleaning, pickup and delivery, search and rescue, and entertainment… Expand
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Highly Cited
1999
Highly Cited
1999
Brownian Motion and Harmonic Analysis on Sierpinski Carpets
We consider a class of fractal subsets of R d formed in a manner analogous to the construction of the Sierpinski carpet. We prove… Expand
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Highly Cited
1999
Highly Cited
1999
Parts and Places: The Structures of Spatial Representation
Thinking about space is thinking about spatial things. The table is on the carpet; hence the carpet is under the table. The vase… Expand
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Highly Cited
1989
Highly Cited
1989
The construction of brownian motion on the Sierpinski carpet
Notant F n l'ensemble obtenu a la n-ieme etape de la construction du tapis de Sierpinski et considerant le mouvement brownien… Expand
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Highly Cited
1984
Highly Cited
1984
The Hausdorff dimension of general Sierpiński carpets
In this note we determine the Hausdorff dimension of a family of planar sets which are generalizations of the classical Cantor… Expand
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