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Introduction to Continuous Squares Spiral
Toyesh Prakash Sharma1 , Ankush Kumar Parcha2
Section:Research Paper, Product Type: Journal-Paper
Vol.7 ,
Issue.5 , pp.39-47, Oct-2020
Online published on Oct 31, 2020
Copyright © Toyesh Prakash Sharma, Ankush Kumar Parcha . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Toyesh Prakash Sharma, Ankush Kumar Parcha, “Introduction to Continuous Squares Spiral,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.5, pp.39-47, 2020.
MLA Style Citation: Toyesh Prakash Sharma, Ankush Kumar Parcha "Introduction to Continuous Squares Spiral." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.5 (2020): 39-47.
APA Style Citation: Toyesh Prakash Sharma, Ankush Kumar Parcha, (2020). Introduction to Continuous Squares Spiral. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(5), 39-47.
BibTex Style Citation:
@article{Sharma_2020,
author = {Toyesh Prakash Sharma, Ankush Kumar Parcha},
title = {Introduction to Continuous Squares Spiral},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2020},
volume = {7},
Issue = {5},
month = {10},
year = {2020},
issn = {2347-2693},
pages = {39-47},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2148},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2148
TI - Introduction to Continuous Squares Spiral
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Toyesh Prakash Sharma, Ankush Kumar Parcha
PY - 2020
DA - 2020/10/31
PB - IJCSE, Indore, INDIA
SP - 39-47
IS - 5
VL - 7
SN - 2347-2693
ER -
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Abstract :
In this paper, there is a new spiral has been introducing by authors, they call their spiral as Continuous Squares Spiral (CSS) due to its basic structural background. Most of the time peoples are engaged in finding extra properties and applications of well know spirals as Fibonacci spiral, logarithmic spiral, golden spiral, Spiral of Theodorus, Archimedean spiral, Euler’s spiral, Fermat’s spiral, etc.. with it we can understand spirals is a very vast subject in mathematics and may peoples work to understand spirals, their properties, their applications and discovering inside them and hence they can’t think toward discovering a new spiral.
Key-Words / Index Term :
Spiral, Triangles, Squares, Continuous Squares Spiral (CSS), Prime numbers, Pythagoras Theorem, Basel Problem, Wallis Product
References :
[1] “List of Spirals” list on wikipedia, link is https://en.wikipedia.org/wiki/List_of_spirals
[2] NCERT “ Mathematics Textbook for Class-VII” Ch-6 The Triangle and its Properties p.127. ISBN-81-7450-669-1
[3] Bell, John L. (1999). The Art of the Intelligible: An Elementary Survey of Mathematics in its Conceptual Development. Kluwer. ISBN 0-7923-5972-0
[4] Ayoub, Raymond (1974). "Euler and the zeta function". Amer. Math. Monthly. 81: 1067–86. doi:10.2307/2319041
[5] Havil, J. (2003). Gamma: Exploring Euler`s Constant. Princeton, New Jersey: Princeton University Press. pp. 37–42 (Chapter 4). ISBN 0-691-09983-9.
[6] Wallis, J. Arithmetica Infinitorum. Oxford, England, 1656..
[7] Guillera, J. and Sondow, J. "Double Integrals and Infinite Products for Some Classical Constants Via Analytic Continuations of Lerch`s Transcendent." 16 June 2005. https://arxiv.org/abs/math.NT/0506319
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