scholarly journals Sierpinski Carpet and Chaos in the Periodic Table of the Elements

2021 ◽  
pp. 1-14
Author(s):  
Leila Hojatkashani
Keyword(s):  
Linear System ◽  
Periodic Table ◽  
Chaotic Systems ◽  
Chemical Elements ◽  
Fibonacci Numbers ◽  
Geometric Pattern ◽  
Sierpinski Carpet ◽  
Fractal Sets ◽  
Self Similar ◽  
Sierpiński Carpet

Fractals are self-similar geometric pattern which can be found in nature. They have applications in mathematic, electronic, architecture. Fractal sets also can be used to create chaotic systems. This work is about applying Sierpinski carpet order on the periodic table of the elements to create a new pattern for the chemical elements. Fibonacci numbers and Math lab software are used to transform a linear system to three spiral systems. This new pattern which is consisted of three layers shows that the flows among chemical elements are based on Archimedes spiral equation The purpose of this study is to show Sierpinski carpet order in the periodic table of the chemical elements and also there can be a chaos even in chemical elements.

scholarly journals Sierpinski carpet fractal monopole antenna for ultra-wideband applications

2022 ◽  
Vol 12 (1) ◽  
pp. 983
Author(s):  
Medhal Bharathraj Kumar ◽  
Praveen Jayappa
Keyword(s):  
Microstrip Antenna ◽  
Monopole Antenna ◽  
Ultra Wideband ◽  
Base Case ◽  
Fractal Antenna ◽  
Sierpinski Carpet ◽  
Low Profile ◽  
Self Similar ◽  
Fractal Antennas ◽  
Sierpiński Carpet

Microstrip antenna is broadly used in the modern communication system due to its significant features such as light weight, inexpensive, low profile, and ease of integration with radio frequency devices. The fractal shape is applied in antenna geometry to obtain the ultra-wideband antennas. In this paper, the sierpinski carpet fractal monopole antenna (SCFMA) is developed for base case, first iteration and second iteration to obtain the wideband based on its space filling and self-similar characteristics. The dimension of the monopole patch size is optimized to minimize the overall dimension of the fractal antenna. Moreover, the optimized planar structure is proposed using the microstrip line feed. The monopole antenna is mounted on the FR4 substrate with the thickness of 1.6 mm with loss tangent of 0.02 and relative permittivity of 4.4. The performance of this SCFMA is analyzed in terms of area, bandwidth, return loss, voltage standing wave ratio, radiation pattern and gain. The proposed fractal antenna achieves three different bandwidth ranges such as 2.6-4.0 GHz, 2.5-4.3 GHz and 2.4-4.4 GHz for base case, first and second iteration respectively. The proposed SCFMA is compared with existing fractal antennas to prove the efficiency of the SCFMA design. The area of the SCFMA is 25×20 mm<sup>2</sup>, which is less when compared to the existing fractal antennas.

SCALE-FREE AND SMALL-WORLD PROPERTIES OF VAF FRACTAL NETWORKS

Fractals ◽  
2016 ◽  
Vol 24 (03) ◽  
pp. 1650033 ◽  
Author(s):  
HAO LI ◽  
JIAN HUANG ◽  
ANBO LE ◽  
QIN WANG ◽  
LIFENG XI
Keyword(s):  
Small World ◽  
The Self ◽  
Sierpinski Carpet ◽  
Scale Free ◽  
Evolving Networks ◽  
Self Similar ◽  
Sierpiński Carpet

In this paper, we investigate the vertical-affiliation-free (VAF) evolving networks whose node set is the basic squares in the process of generating the Sierpinski carpet and edge exists between any two nodes if and only if the corresponding basic squares intersect just on their boundary. Although the VAF networks gets rid of the hierarchial organizations produced naturally by the self-similar structures of fractals, we still prove that they are scale-free and have the small-world effect.

AVERAGE GEODESIC DISTANCE OF SIERPINSKI CARPET

Fractals ◽  
2017 ◽  
Vol 25 (06) ◽  
pp. 1750061 ◽  
Author(s):  
LUMING ZHAO ◽  
SONGJING WANG ◽  
LIFENG Xi
Keyword(s):  
Finite Type ◽  
Geodesic Distance ◽  
Sierpinski Carpet ◽  
Similar Measure ◽  
Self Similar ◽  
Sierpiński Carpet

We obtain the average geodesic distance on the Sierpinski carpet in terms of the integral of geodesic distance on self-similar measure. We find out the finite pattern phenomenon of integral inspired by the notion of finite type on self-similar sets with overlaps.

scholarly journals UNESCO-Russia Mendeleev International Prize in the Basic Sciences

2021 ◽  
Vol 43 (1) ◽  
pp. 28-29
Keyword(s):  
Russian Federation ◽  
Periodic Table ◽  
Chemical Elements ◽  
Basic Sciences ◽  
The Russian Federation ◽  
The Government

Abstract As a follow-up to the 2019 International Year of the Periodic Table of Chemical Elements (IYPT2019), the Government of the Russian Federation proposed to establish and fund the joint UNESCO/Russian Federation International Prize for the Basic Sciences in the name of the Russian chemist Dmitry Mendeleev. The initiative is to provide further support to the UNESCO’s International Basic Sciences Programme (IBSP).

scholarly journals IUPAC Periodic Table Challenge

2020 ◽  
Vol 42 (2) ◽  
pp. 18-21
Author(s):  
Juris Meija ◽  
Javier Garcia-Martinez ◽  
Jan Apotheker
Keyword(s):  
General Public ◽  
Periodic Table ◽  
Chemical Elements ◽  
Global Competition ◽  
Daily Lives ◽  
The World

AbstractIn 2019, the world celebrated the International Year of the Periodic Table of Chemical Elements (IYPT2019) and the IUPAC centenary. This happy coincidence offered a unique opportunity to reflect on the value and work that is carried out by IUPAC in a range of activities, including chemistry awareness, appreciation, and education. Although IUPAC curates the Periodic Table and oversees regular additions and changes, this icon of science belongs to the world. With this in mind, we wanted to create an opportunity for students and the general public to participate in this global celebration. The objective was to create an online global competition centered on the Periodic Table and IUPAC to raise awareness of the importance of chemistry in our daily lives, the richness of the chemical elements, and the key role of IUPAC in promoting chemistry worldwide. The Periodic Table Challenge was the result of this effort.

IYPT 2019—Global Report

2021 ◽  
Vol 43 (1) ◽  
pp. 28-28
Keyword(s):  
Periodic Table ◽  
Chemical Elements ◽  
Community Partnership ◽  
Old People

Abstract The International Year of the Periodic Table of Chemical Elements 2019 (IYPT2019) has been celebrated during the year in over 130 countries, with well over a thousand events and festivities, reaching millions of young and old people, scientists and non-scientists. The event as a whole has been very successful; the 160-page report released last October illustrated in length the community partnership for global outreach and the diversity and success of the activities that took place throughout the year.

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