Tag: Madan Mohan

Sapta Matrikas (Seven Mothers) and Cosmology

Sapta Matrikas (Seven Mothers) and Cosmology

Source: Matrikas / Wikipedia

Key Terms

  • Sapta Matrikas
  • Seven Mothers
  • Seven Sisters
  • Seven Cows
  • Apollonian Strip
  • Apollonian Gasket
  • Kartik
  • Pleiades Constellation
  • Harmonic
  • Enharmonic
  • Music Tuning Theory
  • In Tune
  • Out of Tune
  • Musical Scale
  • Seven Swar
  • Sa Re Ga Ma Pa Dha Ni
  • Seven Colors
  • Sapta Puri
  • Tripura
  • Tripurari
  • Virabhadra
  • Veenadhara
  • Ganesh Lord of Music
  • Nataraj Lord of Dance
  • Rudra Veena
  • Cymatics
  • Sound and Form
  • Naam Rupa
  • Bootstraped Creation
  • Seven Rays of Sun
  • Shiva
  • Indian Classical Dances
  • Indian Classical Music
  • Natyashastra of Bharatmuni
  • Participatory Geometry
  • MATRYOSHKA’S Dolls of Russia
  • Nested Set of Seven Dolls
  • Diophantine Equation
  • Ford Circles
  • Farey Sequence
  • Consonance
  • Dissonance
  • Unbounded Apollonian Gasket
  • Bounded Apollonian Gasket
  • Menger Sponge + Swiss Cheese Cosmology
  • Shape of the Universe
  • Cosmic geometry
  • Dark Matter and Dark Energy
  • Pythagorean Triples
  • Triad of Goddess ( Saraswati + Lakshmi + Parwati)
  • Triad of Gods ( Brahma, Vishnu, Mahesh)
  • Tri Loka
  • Sapta Rishi Mandala (Ursa Major)
  • Seven Sisters of Pleiades
  • Three Stars of Orion
  • Misr
  • Goddess Hathor (Cow Godess)
  • Nested Platonic Solids
  • Rig Veda
  • Maharishi Vishwamitra
  • Gayatri Mantra
  • Krishna, Balaram, Subhadra
  • Rama, Sita, Lakshman
  • Hanuman
  • Madan Mohan
  • Sacred Geography
  • Archeo Astronomy
  • Archeo Musicology
  • Circle and Square as Limit Sets
  • Southern Sky
  • Northern Sky
  • Western Sky
  • Eastern Sky

Cosmology and Triads

Interaction / Intersection of Menger Sponge and Apollonian Sphere in cosmic geometry produces pythagorean triples / triads.

Seven plus one spheres to triads of three.

Apollonian Gasket, Circle and Sphere Packing and Cosmic Geometry

Source: PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET

A transfer operator method is proposed to calculate π‘‘𝐻, the Hausdorff dimension of the Apollonian gasket. Compared with previous operator-based methods, we make two improvements in this paper. We adopt an infinite set of contractive MΓΆbius transformations (rather than a finite set of parabolic ones) to generate the Apollonian gasket. We also apply an efficient finite matrix approximation of an infinite sum of infinite-dimensional operators. By using this method, a high precision estimate of π‘‘𝐻 is obtained: 

𝑑𝐻=1.305 686 728 049 877 184 645 986 206 851 0….

Source: THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING

The fractal dimension of the Apollonian sphere packing has been computed numerically up to six trusty decimal digits. Based on the 31 944 875 541 924 spheres of radius greater than 2βˆ’19 contained in the Apollonian packing of the unit sphere, we obtained an estimate of 2.4739465, where the last digit is questionable. Two fundamentally different algorithms have been employed. Outlines of both algorithms are given.

Source: THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING

Source: What Type of Apollonian Circle Packing Will Appear?

Source: Self-similar space-filling sphere packings in three and four dimensions

Source: Self-similar space-filling sphere packings in three and four dimensions

Sapta Matrikas

  • Brahmi
  • Maheswari
  • KumariΒ 
  • VaishnaviΒ 
  • Varahi
  • IndraniΒ 
  • Chamunda

Source: Saptamatrikas in Kerala: Iconography and Distribution Pattern

In Varahapurana the Devi, Vaishnavi in account of the creation of the matrika, is doing asceticism on mount Mandara. At one point she losses her concentration. From her disgraced mind, several beautiful attendants were created. They later became Devi’s helpmates on the battlefield when she fights the demon. Although the Matrikas are described as lovely in this account, it is important to note that they are born when Devi losses control of her concentration. This suggests that the matrikas are essentially of uncontrolled natures. Born from lack of mental control, they lack control themselves. Varahapurana relates them to vices or inauspicious emotions; Brahmi of Mada, Maheswari of Krodha, Kumari of Moha, Vaishnavi of Lobha, Indrani of Matsarya, Varahi of Asuya and Chamunda of Paisunya.

Source: Saptamatrikas in Kerala: Iconography and Distribution Pattern

The follower of Tantrasara has an esoteric interpretation of the seven matrikas. According to them, Brahmi represents the primordial Nada, the energy in which even the first throb has not yet appeared. This is the manifest sound, the origin of all creation. It is the same substance or energy represented by the pranava. When Brahmi creates the universe, the power of Vaishnavi gives definite shape. The symmetry, beauty, organization and order in the universe are the work of Vaishnavi. Maheswari stands for the power that gives individuality to the created beings. She resides in the hearts of all and makes them play, as dolls mounted on a machine. Kumari represents the ever present force of aspiration of the evolving soul. She is β€˜Guruguha’, the Guru in guha (the cave of the heart, the intellect). Varahi is the all-consuming power of assimilation and enjoyment. Because of her, all living beings get their food and enjoyments. Indrani symbolizes the terrible power that destroys all that opposes the cosmic law. Chamunda is the force of concentrated awareness, the spiritual awakening in the heart that devours that ceaseless activity of the immature mind and uplifts it to the highest level (Harshananda 1981.95-99).

Source: Saptamatrikas in Kerala: Iconography and Distribution Pattern

Source: Saptamatrikas in Kerala: Iconography and Distribution Pattern

Source: Matrikas/Siddha Pedia

Source: The Seven Ancient Mothers

The Pythagoreans considered the figure seven as the image and model of the divine order and harmony in nature. As the harmony of cosmic sound takes place on the space between the seven planets, the harmony of audible sound takes place on a smaller plane within the musical scale of the seven tones. Therefore, the syrinx of the nature god Pan consists of seven pipes, and the lyre of Apollo (the god of music) consists of seven strings. As the number seven is a union between the number three (the symbol of the divine triad) and of four (the symbol of the cosmic forces or elements), the number seven points out symbolically to the union of the divine with the universe.

Source: Internet

Source: Internet

Source: Internet

Source: Regional Variations in MātαΉ›kā Conventions

Source: Regional Variations in MātαΉ›kā Conventions

Source: Regional Variations in MātαΉ›kā Conventions

My Related Posts

On Holons and Holarchy

Maha Vakyas: Great Aphorisms in Vedanta

The Great Chain of Being

Cosmic Mirror Theory

Shape of the Universe

Law of Dependent Origination

Mind, Consciousness and Quantum Entanglement

Third and Higher Order Cybernetics

Indra’s Net: On Interconnectedness

Interconnected Pythagorean Triples using Central Squares Theory

Myth of Invariance: Sound, Music, and Recurrent Events and Structures

Sounds True: Speech, Language, and Communication

Semiotics and Systems

Semiotic Boundaries

Semiotic Self and Dialogic Self

Indira’s Pearls: Apollonian Gasket, Circle and Sphere Packing

64 Yogini Hindu Temples Architecture

Cantor Sets, Sierpinski Carpets, Menger Sponges

Understanding Rasa: Yoga of Nine Emotions

Growth and Form in Nature: Power Laws and Fractals

Fractal Geometry and Hindu Temple Architecture

Consciousness of Cosmos: A Fractal, Recursive, Holographic Universe

Recursion, Incursion, and Hyper-incursion

Rituals | Recursion | Mantras | Meaning : Language and Recursion

A Calculus for Self Reference, Autopoiesis, and Indications

Charles Sanders Peirce’s Visual Logic: Diagrams and Existential Graphs

The Aesthetics of Charles Sanders Peirce

Key Sources of Research

A Tale of Two Fractals: The Hofstadter Butterfly and The Integral Apollonian Gaskets

Indubala I Satija1,a
Department of Physics, George Mason University, Fairfax, VA, 22030

2016

Click to access 1606.09119.pdf

The Hausdorf dimension of the Apollonian packing of circles

P B Thomas1 and D Dhar1


Journal of Physics A: Mathematical and General, Volume 27, Number 7

Citation P B Thomas and D Dhar 1994 J. Phys. A: Math. Gen. 27 2257

DOI 10.1088/0305-4470/27/7/007

https://iopscience.iop.org/article/10.1088/0305-4470/27/7/007/pdf

An introduction to the Apollonian fractal

https://www.semanticscholar.org/paper/An-introduction-to-the-Apollonian-fractal-Bourke/2030f2811c02c5e62b0d6b557b172de731779ba1

Click to access apollony.pdf

PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET

ZAI-QIAO BAI and STEVEN R. FINCH

Fractals VOL. 26, NO. 04

https://doi.org/10.1142/S0218348X18500500

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X18500500

SOME PROPERTIES OF INTEGRAL APOLLONIAN PACKINGS

HENRY LI

Click to access Li,H.pdf

Spectral action gravity and cosmological models


Action spectrale, gravitation et modèles cosmologiques


Testing quantum gravity with cosmology/Tester les thΓ©ories de la gravitation quantique Γ  l’aide de la cosmologie

Matilde Marcolli
Division of Physics, Mathematics, and Astronomy, California Institute of Technology, 1200 E. California Blvd, Pasadena, CA 91125, USA

Comptes Rendus Physique
Volume 18, Issues 3–4, March–April 2017, Pages 226-234

http://dx.doi.org/10.1016/j.crhy.2017.03.001

https://www.sciencedirect.com/sdfe/reader/pii/S1631070517300300/pdf

https://www.sciencedirect.com/science/article/pii/S1631070517300300?ref=cra_js_challenge&fr=RR-1

Cosmological observables in a Swiss-cheese universe

Valerio Marra
Universidade Federal do EspΓ­rito Santo

Edward W. Kolb
University of Chicago

Sabino Matarrese
University of Padova

Antonio Riotto

September 2007

Physical review D: Particles and fields 76(12)
DOI:10.1103/PHYSREVD.76.123004

https://www.researchgate.net/publication/1761908_Cosmological_observables_in_a_Swiss-cheese_universe

SPATIAL STATISTICS OF APOLLONIAN GASKETS

WEIRU CHEN, MO JIAO, CALVIN KESSLER, AMITA MALIK, AND XIN ZHANG

Click to access Apexp.pdf

Mean-field approach to Random Apollonian Packing

Pierre Auclairβˆ—
Cosmology, Universe and Relativity at Louvain (CURL), Institute of Mathematics and Physics, University of Louvain, 2 Chemin du Cyclotron, 1348 Louvain-la-Neuve, Belgium (Dated: November 15, 2022)

Click to access 2211.07509.pdf

SPECTRAL ACTION MODELS OF GRAVITY ON PACKED SWISS CHEESE COSMOLOGY

ADAM BALL AND MATILDE MARCOLLI

Click to access SwissCheese.pdf

Appolonian Gaskets and Ford Circles

http://www.mathrecreation.com/2010/01/appolonian-gaskets-and-ford-circles.html

Estimate for the fractal dimension of the Apollonian gasket in d dimensions

R. S. Farr*
Unilever R&D, Olivier van Noortlaan 120, AT3133 Vlaardingen, The Netherlands
and The London Institute for Mathematical Sciences, 22 S. Audley Street, Mayfair, London, United Kingdom

E. Griffiths

297 Sandy Bay Road, Sandy Bay, Tasmania, Australia

PHYSICAL REVIEW E 81, 061403 τ°€2010τ°

DOI: 10.1103/PhysRevE.81.061403

Click to access farr2010.pdf

Packing my circles

http://aleph.se/andart2/tag/apollonian-gasket/

Recursive Apollonian Gaskets with Python Turtle

Recursive Apollonian Gaskets with Python Turtle

Lie sphere geometry in lattice cosmology

Michael Fennen and Domenico Giulini 2020

Class. Quantum Grav. 37 065007

https://doi.org/10.1088/1361-6382/ab6a20

https://inspirehep.net/files/3c1380285ad39ef987905b3f316576cb

A Study of the Sapta Matrikas’ Origins and Evolution: From the Perspectives of the Art and Literature of Western India Dating from B.C. 1400 to 500 A.D.


Rebecca Sholes
1982

Mother Goddess in Central India


Om Prakash Misra
Agam Kala Prakashan, 1985

The Little Goddesses (mātrikās)


K. C. Aryan
Rekhā, 1980

The Iconography of the Saptamatrikas: Seven Hindu Goddesses of Spiritual Transformation


Katherine Anne Harper
E. Mellen Press, 1989

ISBNS 9780889460614, 0889460612
OCLC ocm19921123

SaptamātrΜ₯kā Worship and Sculptures: An Iconological Interpretation of Conflicts and Resolutions in the Storied Brāhmanical Icons


Shivaji Panikkar
D.K. Printworld, 1997

Saptamatrka Worship and Sculptures

MātrΜ₯kās, Mothers in Kuṣāṇa Art


Nilakanth Purushottam Joshi
Kanak Publications, 1986

SaptamātαΉ›kas in Indian Religion and Art


Vaidhyanathan Raja Mani
Mittal Publications, 1995

The Badoh-Pathari SaptamātαΉ› Panel Inscription

DΓ‘niel Balogh

https://doi.org/10.1163/15728536-06203001

Publication Date:  2019

Publication Name:  Indo-Iranian Journal

https://www.academia.edu/42748849/The_Badoh_Pathari_SaptamātαΉ›_Panel_Inscription

From MātαΉ› to YoginΔ«: Continuity and Transformation in the South Asian Cults of the Mother Goddesses

Shaman Hatley
2012, Transformations and Transfer of Tantra in Asia and Beyond, ed. by IstvΓ‘n Keul (Walter de Gruyter)

https://www.academia.edu/4986203/From_MātαΉ›_to_YoginΔ«_Continuity_and_Transformation_in_the_South_Asian_Cults_of_the_Mother_Goddesses

Yoginis & Mātṝkās: Ecstatic Divine Celebration

Stella Dupuis

https://www.academia.edu/37765406/Yoginis_and_Mātṝkās_Ecstatic_Divine_Celebration

Regional Variations in MātαΉ›kā Conventions

Michael W Meister

1986, Artibus Asiae

https://www.academia.edu/2071394/Regional_Variations_in_MātαΉ›kā_Conventions

Early Pāṇḍya SiαΉƒhavāhinΔ« and Sapta MātαΉ›kā Sculptures in the Far South of India

R.K.K. Rajarajan

https://www.academia.edu/26457204/Early_Pāṇḍya_SiαΉƒhavāhinΔ«_and_Sapta_MātαΉ›kā_Sculptures_in_the_Far_South_of_India

RETHINKING OF SAPTAMATRIKA CULT OF TAMIL NADU

shankar pandiyan

https://www.academia.edu/36789111/RETHINKING_OF_SAPTAMATRIKA_CULT_OF_TAMIL_NADU

SAPTA MATRIKAS IN INDIAN ART AND THEIR SIGNIFICANCE IN INDIAN SCULPTURE AND ETHOS: A CRITICAL STUDY

Meghali Goswami, Dr.Ila Gupta, Dr.P.Jha

Indian Institute of Technology Roorkee, INDIA

https://www.academia.edu/7985707/SAPTA_MATRIKAS_IN_INDIAN_ART_AND_THEIR_SIGNIFICANCE_IN_INDIAN_SCULPTURE_AND_ETHOS_A_CRITICAL_STUDY

Click to access Saptmatrika.pdf

From MātαΉ›gaαΉ‡a to Sapta MātαΉ›kās: Brahmanical Transformation of Autochthonous Goddesses

The Memoirs of the Institute for Advanced Studies on Asia, no. 116, the University of Tokyo, 2011: 566-92.

Jae-Eun Shin
Published 2011

https://www.academia.edu/14167720/From_MātαΉ›gaαΉ‡a_to_Sapta_MātαΉ›kās_Brahmanical_Transformation_of_Autochthonous_Goddesses_The_Memoirs_of_the_Institute_for_Advanced_Studies_on_Asia_no_116_the_University_of_Tokyo_2011_566_92

Saptamatrikas in Kerala: Iconography and Distribution Pattern

Arya Nair V.S.

Department of History, University of Calicut, Kerala, India,

(Email: aryanairveeyes@gmail.com)

Heritage: Journal of Multidisciplinary Studies in Archaeology 4 (2016): 376-400

Click to access 24.pdf

THE MATRKAS (MOTHERS)

JUNE 26, 2015 H RODRIGUES

The Matrkas (Mothers)

The Company of Men β€” Early Inscriptional Evidence for the Male Companions of Mother Goddesses

DΓ‘niel Balogh
Published 2018

https://www.academia.edu/35256886/The_Company_of_Men_Early_Inscriptional_Evidence_for_the_Male_Companions_of_Mother_Goddesses

Saptamatrka – Part One – Devi

sreenivasarao’s blogs

https://sreenivasaraos.com/2012/10/06/saptamatrka-part-one-devi/

https://www.speakingtree.in/blog/saptamatrka-part-one-devi

Matrikas

Wikipedia

https://en.wikipedia.org/wiki/Matrikas

Dasha Mahavidya – Part One – Introduction

Blog by Sreenivasarao Subbanna

https://www.speakingtree.in/blog/dasha-mahavidya-part-one-introduction

THE ASTA MATRIKAS
Mandalic Mothers Of Bhaktapur, Nepal – PART 1

by Laura Amazzone 

Sutra J, February, 2016

http://www.sutrajournal.com/the-asta-matrikas-mandalic-mothers-of-bhaktapur-nepal-part-1

THE ASTA MATRIKAS:
Mandalic Mothers Of Bhaktapur, Nepal – PART 2

by Laura Amazzone

March, 2016

http://www.sutrajournal.com/the-asta-matrikas-mandalic-mothers-of-bhaktapur-nepal-part-two-by-laura-amazzone

Saptamatrikas – Legends, History, Iconography And Temples

Anuradha Goyal

October 12, 2020

Saptamatrikas – Legends, History, Iconography And Temples

Saptamatrikas in art : some depictions

historyreads

Soma Ghosh

https://deccanviews.wordpress.com/2018/04/16/saptamatrikas-in-art-some-depictions/

THE ASHTA MATRIKAS

How the Ancient Mother Goddesses Elevate and Transform Consciousness

February 25, 2020 

https://www.yoginiashram.com/how-the-8-ancient-matrikas-elevate-consciousness/

THE ASHTA MATRIKAS

The Ashta Matrikas

The Saptamātṝkās

Iconography: Meaning and Myths of Icons β€“ Assignment 3

Aditi Trivedi

Click to access The_Saptamatrikas_The_Saptamatṝkas.pdf

MATRIKAS – THE DIVINE MOTHERS

Manish Jaishree

Matrikas – the divine mothers

THE APOLLONIAN STAIRCASE

JAMES RICKARDS

Click to access 2203.08311.pdf

The Fractal Dimension of the Apollonian Sphere Packing

R. Peikert
1994, Fractals

https://www.academia.edu/21612485/The_Fractal_Dimension_of_the_Apollonian_Sphere_Packing

IFS for apollonian gaskets

Roger L. Bagula

https://community.wolfram.com/groups/-/m/t/577358?sortMsg=Replies

Apollonian gasket

Wikipedia

https://en.wikipedia.org/wiki/Apollonian_gasket

Apollonian sphere packing

Wikipedia

https://en.wikipedia.org/wiki/Apollonian_sphere_packing

Statistical Regularity of Apollonian Gaskets, 

Xin Zhang,

International Mathematics Research Notices, Volume 2021, Issue 2, January 2021, Pages 1055–1095, https://doi.org/10.1093/imrn/rnz241

Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group

Jeffrey Lagarias
2000, Dcg

https://www.academia.edu/51798040/Apollonian_Circle_Packings_Geometry_and_Group_Theory_I_The_Apollonian_Group

Apollonian circle packings: geometry and group theory. II. Super-Apollonian

Jeffrey Lagarias
Published 2006

https://www.academia.edu/72120215/Apollonian_circle_packings_geometry_and_group_theory_II_Super_Apollonian

Apollonian circle packings: number theory

Jeffrey Lagarias

Ronald Graham
2003, Journal of Number Theory

https://www.academia.edu/13627920/Apollonian_circle_packings_number_theory

Apollonian circle packings: Number theory II. Spherical and hyperbolic packings

Jeffrey Lagarias
2007, The Ramanujan Journal

https://www.academia.edu/60479858/Apollonian_circle_packings_Number_theory_II_Spherical_and_hyperbolic_packings

Apollonian Circle Packings: Geometry and Group Theory — II. Super-Apollonian Group and Integral Packings

Colin Mallows
Published 2000

https://www.academia.edu/69504409/Apollonian_Circle_Packings_Geometry_and_Group_Theory_II_Super_Apollonian_Group_and_Integral_Packings

Apollonian circle packings: geometry and group theory III. Higher Dimensions

Colin Mallows
Published 2005

https://www.academia.edu/69504385/Apollonian_circle_packings_geometry_and_group_theory_III_Higher_Dimensions

Geometric Sequences Of Discs In The Apollonian Packing

Dov Aharonov

Published 1998

https://www.academia.edu/27089449/Geometric_Sequences_Of_Discs_In_The_Apollonian_Packing

Visualizing hyperbolic honeycombs

Roice Nelson & Henry Segerman


https://doi.org/10.1080/17513472.2016.1263789

Journal of Mathematics and the Arts
Volume 11, 2017 – Issue 1

https://www.tandfonline.com/doi/abs/10.1080/17513472.2016.1263789

A tale of two fractals

A. A. Kirillov
Department of Mathematics, The University of Pennsylvania,

Philadelphia, PA 19104-6395

E-mail address: kirillov@math.upenn.edu

Click to access tf.pdf

Webpage of Jerzy Kocik 

http://lagrange.math.siu.edu/Kocik/jkocik.htm

Apollonian gaskets: beautiful math can be simple

worlds of math & physics

Luca Moroni

https://www.lucamoroni.it/apollonian-gaskets/

Integral Apollonian Packings

Author(s): Peter Sarnak
Source: The American Mathematical Monthly, Vol. 118, No. 4 (April 2011), pp. 291-306

Published by: Mathematical Association of America

Click to access Sarnak_IntegralAppolonian.pdf

THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING

M. BORKOVEC, W. DE PARIS and R. PEIKERT

Fractals Vol. 02, No. 04, pp. 521-526 (1994)

https://doi.org/10.1142/S0218348X94000739

https://www.worldscientific.com/doi/10.1142/S0218348X94000739

Estimate for the fractal dimension of the Apollonian gasket in d dimensions.

https://www.semanticscholar.org/paper/Estimate-for-the-fractal-dimension-of-the-gasket-in-Farr-Griffiths/9d2efb30890d254e78906a5f7e17d6c9bcffe917

Click to access 1006.1606.pdf

Self-similar space-filling sphere packings in three and four dimensions *

D. V. St ̈ager 1 , βˆ— and H. J. Herrmann 1, 2 , †
1 Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland
2 Departamento de F ́ısica, Universidade Federal do Cear ́a, 60451-970 Fortaleza, Ceara ́, Brazil

Click to access 1607.08391.pdf

What Type of Apollonian Circle Packing Will Appear?

Jan E. Holly

Department of Mathematics, Colby College, Waterville, ME 04901

The American Mathematical Monthly 128 (2021) 611–629.

Click to access Holly21pdf.pdf

On a Diophantine Equation That Generates All Integral Apollonian Gaskets

Jerzy Kocik

International Scholarly Research Notices

Volume 2012 | Article ID 348618 | https://doi.org/10.5402/2012/348618

https://www.hindawi.com/journals/isrn/2012/348618/

The early history of the cult of THE MOTHER GODDESS
in Northern Indian Hinduism with special reference
to
ICONOGRAPHY

by
MUKHLESUR RAHMAN

Thesis submitted for examination for the degree of
DOCTOR OR PHILOSOPHY at the
UNIVERSITY OP LONDON
1965

Chapter 2, Pages 193 to 241

Click to access 10731161.pdf

Sapta Matrikas – The Seven Divine Mothers

Sapta Matrikas – The Seven Divine Mothers

Mothers, Lovers & Others: A study of the Chausathi Yogini Temple in Hirapur

Monalisa Behera

2018

https://www.sahapedia.org/mothers-lovers-others-study-of-the-chausathi-yogini-temple-hirapur

Matrikas

Siddha Pedia

Matrikas

The Seven Ancient Mothers

Martini Fisher

https://martinifisher.com/2022/06/09/the-sacred-seven-mothers/

Matrikas

Bharatpedia

https://en.bharatpedia.org/wiki/Matrikas

Matrikas

Ashish Sarangi

https://ashishsarangi.wordpress.com/2018/12/04/matrikas/

Sapta Matrikas: The Seven Divine Mothers

Posted by The Editor | Sep 17, 2015 

https://www.indiadivine.org/sapta-matrikas-the-seven-divine-mothers/

The Seven Mothers or Sapta Matrikas in Ancient Indian Texts

UGC

DR Saroj Rani

Earliest epigraphic evidence for Saptamatrikas discovered

It is also the oldest Sanskrit inscription found in South India

December 25, 2019 10:41 pm |

https://www.thehindu.com/news/national/karnataka/earliest-epigraphic-evidence-for-saptamatrikas-discovered/article30397562.ece

Non Euclidean Geometry

Malin C.

http://www.malinc.se/noneuclidean/en/index.php

Ford circle

Wikipedia

https://en.wikipedia.org/wiki/Ford_circle

Clifford Algebras and Euclid’s Parameterization of Pythagorean Triples

Jerzy Kocik

PRECISE CALCULATION OF HAUSDORFF DIMENSION OF APOLLONIAN GASKET

ZAI-QIAO BAI and STEVEN R. FINCH

https://doi.org/10.1142/S0218348X18500500

Fractals Vol. 26, No. 04, 1850050 (2018)

https://www.worldscientific.com/doi/abs/10.1142/S0218348X18500500

MatrΓ«shka. History of Russian Nesting Dolls

Issuu.com

History of Wooden Matryoshka Nesting Dolls

https://russianlegacy.com/matryoshka-nesting-dolls

THE ASIAN ORIGINS OF RUSSIAN DOLLS

The Asian Origins of Russian Dolls

Matryoshka: A History of Russian Nesting Doll with Asian Roots