Tag: Sapta Rishies

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

Code Biology, Bio-Semiotics, and Relational Biology

Code Biology, Bio-Semiotics, and Relational Biology

Key Terms

  • Biosemiotics
  • Anticipatory Systems
  • Code biology
  • Relational biology
  • C.S. Peirce
  • T. Sebeok
  • Jesper Hoffmeyer
  • Marcello Barbieri
  • Robert Rosen
  • Rom HarrΓ©
  • F Schelling
  • Habits
  • Pratibha
  • Innate Ability
  • Archetypes
  • Talent
  • Character
  • Virtues
  • Caste System
  • Astrology
  • Invariance
  • Regularities
  • Periodicities
  • Sapta Rishis
  • Evolution
  • Development
  • Biology
  • Codes
  • Meaning
  • Culture
  • Nature

Archetypes and Code Biology

Source: Archetypes and code biology

As a clinical psychologist, I observe stereotyped formulas of behavior in action every day in the consulting room, despite differences in age, race, or culture; they present themselves as codified rules or typical modes of behavior in archetypical situations. Such circumstances coincide with what C.G. Jung defended: the existence of archetypes stored in an inherited/phylogenetic repository, which he called the collective unconscious – somewhat similar to the notion of an ethogram, as shown by ethology. Psychologists can use a perspective to facilitate understanding the phenomenon: the code biology perspective (Barbieri 2014). This approach can help us recognize how these phenomenological events have an ontological reality based not only on the existence of organic information but also on the existence of organic meaning.

We are not a tabula rasa (Wilson 2000): despite the explosive diversification of the brain and the emergence of conscience and intentionality, we observe the conservation of basic instincts and emotions (Ekman 2004; Damasio 2010) not only in humans but in all mammals and other living beings; we refer to the neural activity on which the discrimination behavior is based, i.e., the neural codes. The conservation of these fundamental set-of-rules or conventions suggests that one or more neural codes have been highly conserved and serves as an interpretive basis for what happens to the living being who owns them (Barbieri 2003). Thus, archetypes’ phenomenological reality can be understood not as something metaphorical but as an ontological (phylogenetic) fact (Goodwyn 2019).

Furthermore, epigenetic regulation theories present the possibility that the biomolecular process incorporates elements of the context where it takes place; something fundamental to understand our concept – the archetype presents itself as the mnesic remnant of the behavioral history of individuals who preceded us on the evolutionary scale. In short: brains are optimized for processing ethologically relevant sensory signals (Clemens et al., 2015).

From the perspective of the corporeal mind (Searle 2002), in this paper, we will show the parallels between code biology and the concept of the archetype, as Jung defended it and as it appears in clinical practice.

Source: Code Biology 3: the study of all Codes of Life

Editorial
Overview of the third special issue in code biology

  1. Introduction
    This third special issue in Code Biology is a collection of highly different papers and their differences have two main causes. The first, the most obvious, is that Code Biology is the study of all codes that exist in living systems and the diversity of the papers is a direct consequence of the diversity of the codes. The second source of diversity is the existence of different theories. More precisely, the original theory that gave origin to Code Biology has been followed by a number of extended theories that now coexist with the original one. In Code Biology, in other words, there is pluralism but there has also been a beginning, and it is important to be clear about this starting point. The original theory of Code Biology is characterized by ideas that make it different from four major theoretical frameworks:
    1. [1] The original theory of Code Biology is different from the Modern Synthesis for two reasons. The first is the idea that evolution took place by natural selection and by natural conventions and these mechanisms are fundamentally different because natural selection is based on copying and natural conventions are based on coding. The second is the idea that the cell is not a biological computer made of genotype and phenotype but a trinity of genotype, phenotype and ribotype, where the ribotype is the ribo nucleoprotein system of the cell that functions as the codemaker of the genetic code (Barbieri 1981, 1985, 2003).
    2. [2] The original theory of Code Biology maintains that the fundamental process of life is not autopoiesis but codepoiesis (Barbieri 2012). Autopoiesis requires biological specificity and specificity comes from the genetic code, so the ancestral systems that came before that code could not have been autopoietic systems. Those ancestral systems, on the other hand, were engaged in the evolution of the genetic code and were therefore codepoietic systems. Autopoiesis, furthermore, is most evident in bacteria and bacteria have not increased their complexity and have not evolved new codes for billions of years after their appearance on Earth. It was the eukaryotes that became increasingly complex and that evolved new codes, which suggests a deep link between codes and complexity, and in particular between the origin of new codes and the origin of the great novelties of macroevolution (Barbieri 2015, 2016, 2017, 2020). Codepoiesis, on the other hand, is necessarily implemented by mechanisms, and according to the original theory of Code Biology the major mechanism that fuelled the evolution of the genetic code was the process of ambiguity reduction (Barbieri 2019a).
    3. [3] The original theory of Code Biology is different from Biosemiotics because it claims that the Peircean processes of interpretation and abduction take place in the brain but not in the cell (Barbieri 2014,2018).
    4. [4] The original theory of Code Biology is different from the Relational Biology of Robert Rosen because it assumes that the process of anticipation takes place in the brain but not in the cell (Barbieri 2019b).
  2. There are, in conclusion, four key ideas in the original theory of Code Biology:
    1. [a] Evolution took place by natural selection and by natural conventions.
      [b] The cell is a trinity of genotype, phenotype and ribotype.
      [c] The fundamental process of life is codepoiesis, not autopoiesis.
      [d] Ambiguity reduction was the major evolutionary mechanism of the genetic code.
  3. The extended theories of Code Biology differ from the original theory either because they introduce new concepts or because they reformulate some of the original concepts.
    1. [1] The first extended theory appeared when Stefan KΓΌhn and Jan-Hendrik Hofmeyr (2014) proposed an extended definition of code, a definition where signs and meanings can be not only molecules but also biological processes. More precisely, KΓΌhn and Hofmeyr showed that the histone code is a mapping where the signs are the marks produced on histones by acetylation or methylation processes and their meanings are the activation or the repression of particular genes.
    2. [2] A second extended theory of Code Biology has been proposed in this issue by Julie Heng and Henry Heng with the idea that the adaptors of a biological code can be β€œinformation flows”. More precisely, Heng and Heng point out that in addition to the codes that produce the components of a system there are also codes that organize those components into a working whole. The code that is used to make bricks, for example, is different from the code that is used to construct a building from those bricks. The genetic code is a code that makes bricks, i.e., proteins, but in order to arrange proteins into a living system we need an architectural code that Heng and Heng call β€œkaryotype code”.
    3. [3] A third extended theory is presented in this issue by Omar Paredes and colleagues on the grounds that the original theory of Code Biology β€œraises the illusion that information has only an upward direction … whereas the current overview of cellular dynamics … illustrates that information flows freely upward and downward”. In order to overcome this limitation, the authors propose β€œa novel category of organic codes, the metacode”, which is defined as β€œan informational structure that handles the continuum of the information flow in biological systems”.

The extended theories, in short, are a reality and their existence is a testimony that there is genuine pluralism in Code Biology. The goal of this special issue, on the other hand, is to give a bird’s-eye view of the present status of Code Biology and to this purpose it has been divided into four parts, each of which is going to be illustrated in the rest of this editorial with brief presentations of its papers

My Related Posts

Semiotics, Bio-Semiotics and Cyber Semiotics

What is Code Biology?

Autocatalysis, Autopoiesis and Relational Biology

Systems Biology: Biological Networks, Network Motifs, Switches and Oscillators

Hierarchy Theory in Biology, Ecology and Evolution

System Archetypes: Stories that Repeat

On Classical Virtues

Key Sources of Research

Code Biology, Peircean Biosemiotics, and Rosen’s Relational Biology

Marcello Barbieri

Biological Theory 14 (1):21-29 (2019)

https://philpapers.org/rec/BARCBP-2

https://www.researchgate.net/profile/Marcello-Barbieri-2/publication/329325693_Code_Biology_Peircean_Biosemiotics_and_Rosen’s_Relational_Biology/links/5de18628299bf10bc3314300/Code-Biology-Peircean-Biosemiotics-and-Rosens-Relational-Biology.pdf?_sg%5B0%5D=started_experiment_milestone&origin=journalDetail

Code biology: A bird’s-eye view

Author(s): Marcello Barbieri

Gatherings in Biosemiotics XX.
(Tartu Semiotics Library 20.) Tartu: University of Tartu Press.

Issue Year: 2020 Issue No: 20 Page Range: 72-91

LackovΓ‘, Δ½udmila; RodrΓ­guez H., Claudio J.; Kull, Kalevi (eds.) 2020. 

BIOSEMIOSIS AND CAUSATION:
DEFENDING BIOSEMIOTICS THROUGH ROSEN’S THEORETICAL BIOLOGY
OR
INTEGRATING BIOSEMIOTICS AND ANTICIPATORY SYSTEMS THEORY1

Arran Gare

Cosmos and History: The Journal of Natural and Social Philosophy, vol. 15, no. 1, 2019

https://philarchive.org/archive/GARBAC-4

A Critique of Barbieri’s Code Biology Through Rosen’s Relational Biology: Reconciling Barbieri’s Biosemiotics with Peircean Biosemiotics. 

Vega, F.

Biol Theory 13, 261–279 (2018).

https://doi.org/10.1007/s13752-018-0302-1

https://link.springer.com/article/10.1007/s13752-018-0302-1

Click to access VEGA_CUESTA_Federico_Tesis.pdf

An Integrated Account of Rosen’s Relational Biology and Peirce’s Semiosis. Part I: Components and Signs, Final Cause and Interpretation

Federico Vega

Biosemiotics (2021) 14:697–716

https://doi.org/10.1007/s12304-021-09441-z

https://link.springer.com/article/10.1007/s12304-021-09441-z

Click to access VEGA_CUESTA_Federico_Tesis.pdf

An Integrated Account of Rosen’s Relational Biology and Peirce’s Semiosis. Part II: Analysis of Protein Synthesis. 

Vega, F.

Biosemiotics 14, 717–741 (2021).

https://doi.org/10.1007/s12304-021-09438-8

https://link.springer.com/article/10.1007/s12304-021-09438-8

Click to access VEGA_CUESTA_Federico_Tesis.pdf

Peircean habits and the life of symbols

Thirty-fifth Meeting of the Semiotic Society of America October 21-24, 2010, Louisville, Kentucky

Eliseo FernΓ‘ndez
Linda Hall Library of Science and Technology

fernande@lindahall.org

Click to access Peirce_habits.pdf

BIOSEMIOTICS AND SELF-REFERENCE FROM PEIRCE TO ROSEN

Eliseo FernΓ‘ndez

Linda Hall Library of Science and Technology5109 Cherry St.Kansas City, MO 64110, USA

fernande@lindahall.org

Eighth Annual International Gatherings in Biosemiotics

University of the Aegean, Syros, Greece, June 23-28, 2008

Functional Information: Towards Synthesis of Biosemiotics and Cybernetics

Alexei A. Sharov

National Institute on Aging, 251 Bayview Boulevard, Baltimore, MD 21224, USA Alexei A. Sharov: sharoval@mail.nih.gov

Entropy (Basel). 2010 Apr 27; 12(5): 1050–1070. 

doi: 10.3390/e12051050

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3285384/

Codes: Necessary, but not sufficient for meaning-making.

Kull K. (2020)

Constructivist Foundations 15(2): 137–139.

https://constructivist.info/15/2/137

Organic Codes: A Unifying Concept for Life.

de Farias, S.T., Prosdocimi, F. & Caponi, G.

Acta Biotheor 69, 769–782 (2021).

https://doi.org/10.1007/s10441-021-09422-2

https://link.springer.com/article/10.1007/s10441-021-09422-2

A critique of Barbieri’s code Biology

Alexander V. Kravchenko
Baikal State University

https://www.researchgate.net/publication/344896397_A_critique_of_Barbieri%27s_code_Biology

Origin and evolution of the genetic code: the universal enigma

Eugene V. Koonin* and Artem S. Novozhilov
National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894

IUBMB Life. 2009 February ; 61(2): 99–111. doi:10.1002/iub.146.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3293468/

Code biology and the problem of emergence

Arran Gare 

Bio Systems 2021 Oct; 208:104487.

doi: 10.1016/j.biosystems.2021.104487.

https://pubmed.ncbi.nlm.nih.gov/34273444/

https://www.sciencedirect.com/science/article/abs/pii/S0303264721001349?via%3Dihub

Archetypes and code biology

J.C.Major

International Academy of Analytical Psychology, Portugal

Biosystems
Volume 208, October 2021, 104501

https://www.sciencedirect.com/science/article/abs/pii/S0303264721001489

The major evolutionary transitions and codes of life

Adam Kun

Bio Systems 210 2021

https://doi.org/10.1016/j.biosystems.2021.104548

Code Biology 3: the study of all Codes of Life

Edited by Marcello Barbieri

Last update 22 September 2021

3rd Special Issue in Code Biology

Bio Systems December 2021

https://doi.org/10.1016/j.biosystems.2021.104553

https://www.sciencedirect.com/journal/biosystems/special-issue/10S60V7SHC6

Code Biology 2: the study of all Codes of Life

Edited by Marcello Barbieri, Jan-Hendrik Hofmeyr

Last update 30 June 2021

Bio Systems Feb 2018

2nd Special Issue on Code Biology

https://doi.org/10.1016/j.biosystems.2019.104050

https://www.sciencedirect.com/journal/biosystems/special-issue/10Q35Z29R86

The first Special Issue on code biology – A bird’s-eye view

Jan-Hendrik S Hofmeyr 

Bio Systems 2018 Feb; 164:11-15.

doi: 10.1016/j.biosystems.2017.12.007.

Epub 2017 Dec 16.

https://pubmed.ncbi.nlm.nih.gov/29258888/

https://www.sciencedirect.com/science/article/abs/pii/S030326471730463X?via%3Dihub

https://www.sciencedirect.com/journal/biosystems/vol/164/suppl/C

GATHERINGS IN BIOSEMIOTICS

Edited by
Silver Rattasepp Tyler Bennett

TARTU SEMIOTICS LIBRARY 11

2012

Series editors: Kalevi Kull Silvi Salupere Peeter Torop

Department of Semiotics

University of Tartu
Jakobi St. 2

Tartu 51014, Estonia

https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.465.1302&rep=rep1&type=pdf

Gatherings in Biosemiotics XX

Edited by
Δ½udmila LackovΓ‘ Claudio J. RodrΓ­guez H. Kalevi Kull

2020

TARTU SEMIOTICS LIBRARY 20

http://www.flfi.ut.ee/en/department-semiotics/tartu-semiotics-library

Tartu: University of Tartu Press.

Semiotic Agency: Science Beyond Mechanism

By Alexei Sharov, Morten TΓΈnnessen

A BRIEF INTRODUCTION TO PEIRCE IN BIOSEMIOTICS

CLAUDIO J. RODR ΜIGUEZ H. CLAUDIOJRODRIGUEZH@GMAIL.COM

Click to access A-Brief-Introduction-to-Peirce-in-Biosemiotics.pdf

Chapter One
Peirce in contemporary semiotics

Paul Cobley

In: The Bloomsbury Companion to Contemporary Peircean Semiotics. Jappy, Tony, ed. Bloomsbury Companions . Bloomsbury Academic, London, pp. 31-72.

2019

doi:10.5040/9781350076143.ch-001

https://eprints.mdx.ac.uk/25834/1/Chapter%201%20%20Peirce%20in%20contemporary%20semiotics%20pre-print%20.docx

Consciousness, Mind and Spirit. 

Gare, A. (2019).

Cosmos and History: The Journal of Natural and Social Philosophy, 15(2), 236–264.

Retrieved from https://mail.cosmosandhistory.org/index.php/journal/article/view/833

FROM KANT TO SCHELLING TO PROCESS METAPHYSICS: ON THE WAY TO ECOLOGICAL CIVILIZATION

Arran Gare

Cosmos and History: The Journal of Natural and Social Philosophy, vol. 7, no. 2, 2011

https://philarchive.org/archive/GARFKT-6

Toward an Ecological Civilization: The Science, Ethics, and Politics of Eco-Poiesis*

Arran Gare

PROCESS STUDIES 39.1 (2010)

Click to access GARTAE-3.pdf

Beyond Descartes and Newton: Recovering Life and Humanity

Stuart A. Kauffman and Arran Gare

Stu modification 3/11/15 Arran modification 5/17/15

Published in Progress in Biophysics and Molecular Biology, 119(3), 2017: 219-244.

Click to access GARBDA.pdf

Language and the Self-Reference Paradox

Julio Michael Stern

Cybernetics And Human Knowing. Vol. 14, no. 4, pp.71-92

Click to access STELAT-14.pdf

Overcoming the Newtonian paradigm: The unfinished project of theoretical biology from a Schellingian perspective

Arran Gare*
Philosophy, Faculty of Life and Social Sciences, Swinburne University, Melbourne, Australia

Published in Progress in Biophysics and Molecular Biology, 113, (2013): 5-24.

Click to access GAROTN.pdf