Log in

Relevant bibliographies by topics / Sierpinski carpet

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Sierpinski carpet'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Sierpinski carpet.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Sierpinski carpet"

1

BERKOVE, ETHAN, and DEREK SMITH. "GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE." Fractals 28, no. 07 (2020): 2050120. http://dx.doi.org/10.1142/s0218348x20501200.

Full text

Abstract:

In this paper, we study geodesics in the Sierpinski carpet and Menger sponge, as well as in a family of fractals that naturally generalize the carpet and sponge to higher dimensions. In all dimensions, between any two points we construct a geodesic taxicab path, namely a path comprised of segments parallel to the coordinate axes and possibly limiting to its endpoints by necessity. These paths are related to the skeletal graph approximations of the Sierpinski carpet that have been studied by many authors. We then provide a sharp bound on the ratio of the taxicab metric to the Euclidean metric,

APA, Harvard, Vancouver, ISO, and other styles

2

Wang, Xu, and Jun Wang. "Statistical Behavior of a Financial Model by Lattice Fractal Sierpinski Carpet Percolation." Journal of Applied Mathematics 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/735068.

Full text

Abstract:

The lattice fractal Sierpinski carpet and the percolation theory are applied to develop a new random stock price for the financial market. Percolation theory is usually used to describe the behavior of connected clusters in a random graph, and Sierpinski carpet is an infinitely ramified fractal. In this paper, we consider percolation on the Sierpinski carpet lattice, and the corresponding financial price model is given and investigated. Then, we analyze the statistical behaviors of the Hong Kong Hang Seng Index and the simulative data derived from the financial model by comparison.

APA, Harvard, Vancouver, ISO, and other styles

3

Joe D, Allin, and Thiyagarajan Krishnan. "A modified sierpinski carpet antenna structure for multiband wireless applications." Scientific Temper 14, no. 02 (2023): 398–404. http://dx.doi.org/10.58414/scientifictemper.2023.14.2.25.

Full text

Abstract:

Multiband patch antenna has a very important part in the communication devices and systems. The benefits in designing and testing of Sierpinski carpet geometries for a low profile, cost effective multiband microstrip patch antenna for wireless standards is reviewed in this paper. The basic structure of the patch antenna is designed using the FR4 substrate with a thickness of 1.3 mm. The designed patch antenna structure is excited using the microstrip feed system. The Sierpinski carpet antenna structure is designed and simulated using High Frequency Structural Simulator (HFSS) software. The ava

APA, Harvard, Vancouver, ISO, and other styles

4

YANG, YUN, YUTING FENG, and YANHUA YU. "THE GENERALIZATION OF SIERPINSKI CARPET AND MENGER SPONGE IN n-DIMENSIONAL SPACE." Fractals 25, no. 05 (2017): 1750040. http://dx.doi.org/10.1142/s0218348x17500402.

Full text

Abstract:

In this paper, we generalize Sierpinski carpet and Menger sponge in [Formula: see text]-dimensional space, by using the generations and characterizations of affinely-equivalent Sierpinski carpet and Menger sponge. Exactly, Menger sponge in [Formula: see text]-dimensional space could be drawn out clearly under an affine transformation. Furthermore, the method could be used to a much broader class in fractals.

APA, Harvard, Vancouver, ISO, and other styles

5

Ercai, Chen. "Chaos for the Sierpinski Carpet." Journal of Statistical Physics 88, no. 3/4 (1997): 979–84. http://dx.doi.org/10.1023/b:joss.0000015182.90436.5b.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Lyamshev, L. M., and I. A. Urusovskii. "Sound diffraction at Sierpinski carpet." Acoustical Physics 49, no. 6 (2003): 700–703. http://dx.doi.org/10.1134/1.1626183.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Jha, Mani Chandra, and Anne E. B. Nielsen. "Properties of Laughlin states on fractal lattices." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 5 (2023): 053103. http://dx.doi.org/10.1088/1742-5468/acd104.

Full text

Abstract:

Abstract Laughlin states have recently been constructed on fractal lattices and have been shown to be topological in such systems. Some of their properties are, however, quite different from the two-dimensional case. On the Sierpinski triangle, for instance, the entanglement entropy shows oscillations as a function of particle number and does not obey the area law despite being topologically ordered, and the particle density is non-uniform in the bulk. Here, we investigate these deviant properties in greater detail on the Sierpinski triangle, and we also study the properties on the Sierpinski

APA, Harvard, Vancouver, ISO, and other styles

8

HAMBLY, B. M., and T. KUMAGAI. "ASYMPTOTICS FOR THE SPECTRAL AND WALK DIMENSION AS FRACTALS APPROACH EUCLIDEAN SPACE." Fractals 10, no. 04 (2002): 403–12. http://dx.doi.org/10.1142/s0218348x02001270.

Full text

Abstract:

We discuss the behavior of the dynamic dimension exponents for families of fractals based on the Sierpinski gasket and carpet. As the length scale factor for the family tends to infinity, the lattice approximations to the fractals look more like the tetrahedral or cubic lattice in Euclidean space and the fractal dimension converges to that of the embedding space. However, in the Sierpinski gasket case, the spectral dimension converges to two for all dimensions. In two dimensions, we prove a conjecture made in the physics literature concerning the rate of convergence. On the other hand, for nat

APA, Harvard, Vancouver, ISO, and other styles

9

Pei, Anqi, and Jun Wang. "Volatility Behaviors of Financial Time Series by Percolation System on Sierpinski Carpet Lattice." Fluctuation and Noise Letters 14, no. 02 (2015): 1550015. http://dx.doi.org/10.1142/s0219477515500157.

Full text

Abstract:

The financial time series is simulated and investigated by the percolation system on the Sierpinski carpet lattice, where percolation is usually employed to describe the behavior of connected clusters in a random graph, and the Sierpinski carpet lattice is a graph which corresponds the fractal — Sierpinski carpet. To study the fluctuation behavior of returns for the financial model and the Shanghai Composite Index, we establish a daily volatility measure — multifractal volatility (MFV) measure to obtain MFV series, which have long-range cross-correlations with squared daily return series. The

APA, Harvard, Vancouver, ISO, and other styles

10

Mohsin, Moslim, Adil AL Rammahi, and Furkan Rabee. "An Innovative Topologies Based on Hypercube Network Interconnection." European Journal of Information Technologies and Computer Science 3, no. 4 (2023): 7–13. http://dx.doi.org/10.24018/compute.2023.3.4.92.

Full text

Abstract:

A parallel processing system's most crucial part is a network interconnection that links its processors. The hypercube topology has interesting features that make it a great option for parallel processing applications. This paper presents two innovative configurations of interconnection networks based on fractal Sierpinski and a hypercube. These are called the Sierpinski Triangle Topology (STT) and Sierpinski Carpet Topology (SCT). Compared to a hypercube, the Sierpinski Triangle topology (STT) noticed a significant decrease in the number of nodes and links as large networks grew. Hence, it is

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Sierpinski carpet"

1

Yang, Meng [Verfasser]. "Local and Non-Local Dirichlet Forms on the Sierpinski Gasket and the Sierpinski Carpet / Meng Yang." Bielefeld : Universitätsbibliothek Bielefeld, 2019. http://d-nb.info/1176701401/34.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Granholm, Jonas. "Remarkable curves in the Euclidean plane." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-112576.

Full text

Abstract:

An important part of mathematics is the construction of good definitions. Some things, like planar graphs, are trivial to define, and other concepts, like compact sets, arise from putting a name on often used requirements (although the notion of compactness has changed over time to be more general). In other cases, such as in set theory, the natural definitions may yield undesired and even contradictory results, and it can be necessary to use a more complicated formalization. The notion of a curve falls in the latter category. While it is intuitively clear what a curve is – line segments, e

APA, Harvard, Vancouver, ISO, and other styles

3

Zeng, Jinsong. "Rigidité quasi-symétrique, tapis de Julia et le débarquement de dynamique resp. paramètres rayons." Thesis, Angers, 2015. http://www.theses.fr/2015ANGE0054/document.

Full text

Abstract:

Cette thèse est constituée de cinq parties distinctes. La première partie est consacrée au problème de rigidité quasi-symétrique associé à un nouveau modèle de tapis de Sierpinski, qui ne sont pas quasi-symétriquement équivalent aux tapis de Sierpinski usuels. La seconde partie est une discussion portant sur la géométrie quasi-symétrique des ensembles de tapis de Julia, incluant en outre le quasi-cercle uniforme, ainsi que certaines propriétés de séparation uniforme. Lors de la troisième partie, nous déterminerons une condition permettant de savoir quand deux rayons externes d'un polynôme tend

APA, Harvard, Vancouver, ISO, and other styles

4

Landstedt, Erik. "Fractals and Billiard Orbits on Sierpinski Carpets." Thesis, Linköpings universitet, Matematiska institutionen, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-138736.

Full text

Abstract:

This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamental theory regarding fractals and some illustrative examples together with fractal billiards. In the latter part of the thesis we use elementary methods to present an original proof concerning the closure of some billiard orbits on Sierpinski carpets. A survey of the article Periodic Billiard orbits of self-similar Sierpinski Carpets, see [8], has been done, in which we make a discussion about one open question regarding reflections on the carpet. Furthermore, we state and prove some proposition

APA, Harvard, Vancouver, ISO, and other styles

5

Wang, Nancy. "Fractal Sets: Dynamical, Dimensional and Topological Properties." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-233147.

Full text

Abstract:

Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. Fractal dimension is a dimension which need not take integer values. In fractal geometry, a fractal dimension is a ratio providing an index of the complexity of fractal pattern with regard to how the local geometry changes with the scale at which it is measured. In recent years, fracta

APA, Harvard, Vancouver, ISO, and other styles

6

"Continuous Markov processes on the Sierpinski Gasket and on the Sierpinski Carpet." 2008. http://library.cuhk.edu.hk/record=b5893704.

Full text

Abstract:

Li, Chung Fai.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2008.<br>Includes bibliographical references (p. 43).<br>Abstracts in English and Chinese.<br>Acknowledgement --- p.ii<br>Chapter 1 --- Introduction --- p.1<br>Chapter 2 --- Construction of the State Spaces --- p.5<br>Chapter 2.1 --- The Sierpinski Gasket --- p.5<br>Chapter 2.1.1 --- Neighbourhood in the Sierpinski Gasket --- p.7<br>Chapter 2.2 --- The Sierpinski Carpet --- p.9<br>Chapter 2.2.1 --- Neighbourhood in the Sierpinski Carpet --- p.10<br>Chapter 3 --- Preliminary Random Processes on Each Level --- p.12<br>C

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Sierpinski carpet"

1

Schumer, Peter D. Fractions. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/9780198916567.001.0001.

Full text

Abstract:

Abstract This work details a great deal of the history and manifest forms of fractions within mathematics. Rational numbers are fractions having either a terminating or repeating decimal expansion. Determining their decimal expansions, as well as the period length of repeating decimals, is completely worked out. Modern base 10 decimal expansions are compared with ancient Babylonian base 60 sexagesimal expansions. This leads to the study of infinite sums, especially to geometric series and the notions of convergence and divergence. The Fibonacci numbers are studied along with the series for 1/8

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Sierpinski carpet"

1

Barlow, M. "Analysis on the Sierpinski carpet." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2013. http://dx.doi.org/10.1090/crmp/056/02.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Kumar, Kuldip. "Modified Sierpinski Carpet Fractal Antenna for the Wireless Applications." In Proceedings of the International Conference on Cognitive and Intelligent Computing. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-2358-6_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Bhutani, Pawan, Shweta Sagar, and Abhijeet Kumar. "Performance Analysis of Sierpinski Carpet Fractal Antenna for Wireless Communication." In Lecture Notes in Electrical Engineering. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-6772-4_64.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Kautz, Steven M., and James I. Lathrop. "Self-assembly of the Discrete Sierpinski Carpet and Related Fractals." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-10604-0_8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Yogaprasad, K., M. Nanda Kumar, V. R. Anitha, and Anil Kumar Nayak. "SRR-loaded octagonal Sierpinski-based carpet-shaped antenna for multiband application." In Printed Antennas. CRC Press, 2022. http://dx.doi.org/10.1201/9781003347057-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Xiao, Qili, and Lifeng Xi. "Application of Genetic Algorithm to Hausdorff Measure Estimation of Sierpinski Carpet." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-74827-4_23.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Senning, B., J. E. Drumheller, P. Erhart, et al. "Microwave Absorption near T c in a Superconducting Al-Oxide Triangular Sierpinski Carpet." In 25th Congress Ampere on Magnetic Resonance and Related Phenomena. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-76072-3_141.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Prabhakar, D., P. Mallikarjuna Rao, and M. Satyanarayana. "Sierpinski Carpet Fractal Antenna Array Using Quarter-Wave Feed Network for Wireless Applications." In Proceedings of 2nd International Conference on Micro-Electronics, Electromagnetics and Telecommunications. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-4280-5_47.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Moutaouakil, Abdelhakim, Younes Jabrane, Abdelati Reha, and Abdelaziz Koumina. "Design of Microstrip Sierpinski Carpet Antenna Using a Circular Pattern with Improved Performance." In Lecture Notes in Electrical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6893-4_88.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Aravindraj, E., G. Nagarajan, and R. Senthil Kumaran. "A Monopole Octagonal Sierpinski Carpet Antenna with Defective Ground Structure for SWB Applications." In Lecture Notes in Electrical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0289-4_20.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Sierpinski carpet"

1

Zainud-Deen, Anas S., Saber H. Zainud-Deen, Hend A. Malhat, Mona M. Badawy, Hadeer El-Hemaily, and Shaymaa M. Gaber. "Time-Modulated of Fractal Sierpinski Carpet Array with Reduced Sidelobe levels." In 2024 International Conference on Future Telecommunications and Artificial Intelligence (IC-FTAI). IEEE, 2024. https://doi.org/10.1109/ic-ftai62324.2024.10950038.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

K, Muthukumaravel, and Suganthi Santhanam. "Antenna for C Band Applications using a Modified Sierpinski Carpet Fractal Patch." In 2024 Second International Conference on Microwave, Antenna and Communication (MAC). IEEE, 2024. https://doi.org/10.1109/mac61551.2024.10837060.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Tang, Qiang, Huiyu Huang, Boyang Li, and Chen Li. "2D Acoustofluidic Patterns Generated in Quasi-Sierpinski-Carpet Shaped Chambers with Different Radiation Surface Distributions." In 2024 18th Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA). IEEE, 2024. https://doi.org/10.1109/spawda63926.2024.10878844.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Yuliandoko, Herman, Eko Setijadi, and Puji Handayani. "Dual band Implantable antenna based on DGS and Sierpinski Carpets Fractal miniaturization." In 2024 Asia-Pacific Microwave Conference (APMC). IEEE, 2024. https://doi.org/10.1109/apmc60911.2024.10867600.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Abd Kadir, M. F., A. S. Ja'afar, and M. Z. A. Abd Aziz. "Sierpinski carpet fractal antenna." In 2007 Asia-Pacific Conference on Applied Electromagnetics (APACE). IEEE, 2007. http://dx.doi.org/10.1109/apace.2007.4603961.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Ahmad, S., N. S. Saidin, and C. M. Che Isa. "Development of embroidered Sierpinski carpet antenna." In 2012 IEEE Asia-Pacific Conference on Applied Electromagnetics (APACE). IEEE, 2012. http://dx.doi.org/10.1109/apace.2012.6457645.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Araujo, L. S., C. P. do Nascimento Silva, L. C. Barbosa, and A. J. Belfort de Oliveira. "A novel Sierpinski carpet fractal dipole." In 2011 SBMO/IEEE MTT-S International Microwave and Optoelectronics Conference (IMOC). IEEE, 2011. http://dx.doi.org/10.1109/imoc.2011.6169355.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Moeini, Samaneh, and Jose Carlos Pedro. "Fractal metamaterial based on Sierpinski carpet." In 2014 Loughborough Antennas & Propagation Conference (LAPC). IEEE, 2014. http://dx.doi.org/10.1109/lapc.2014.6996449.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Nan Lu and XiaowenXu. "Sierpinski carpet fractal antenna in third iteration." In 2013 IEEE International Conference on Microwave Technology & Computational Electromagnetics (ICMTCE). IEEE, 2013. http://dx.doi.org/10.1109/icmtce.2013.6812412.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Calamas, David, Daniel Dannelley, Jennifer Shaffer, and Valentin Soloiu. "Free Convection Heat Transfer From Sierpinski Carpet Fractal Fins of Varying Size." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71697.

Full text

Abstract:

This works experimentally investigates the thermal performance of extended surfaces inspired by the first four fractal iterations of the Sierpinski carpet fractal pattern in a free convection environment. Fractal fins inspired by the Sierpinski carpet fractal pattern can result in an increase in surface area for convective heat transfer coupled with a simultaneous decrease in mass and are thus desirable in aerospace applications. The thermal performance of the Sierpinski carpet fractal fins was quantified based on fin efficiency, fin effectiveness, and perforated fin effectiveness. When compar

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!