The Magic Square in Thiruvananthapuram

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Jee Francis Therattil

सार

his paper examines a 3x3 Magic Square recently identified by the author, engraved on the 
ceiling of the Ārāttu Mandapam in Shanghumukham, Thiruvananthapuram. This structure was 
built during the reign of Mārthānda Varma (1729–1758 CE), the founding monarch of the 
Kingdom of Trāvancōre. Historically, Magic Squares functioned as mystic diagrams in worship, 
meditation, and rituals, frequently appearing in religious manuscripts and on monuments. Their 
evolution is a compelling narrative of intellectual curiosity, cultural adaptation, and cross
civilizational exchange. From their ancient origins as talismans and tools of divination to their 
modern study in combinatorics and number theory, Magic Squares remain a source of 
fascination. 
Kerala's distinguished mathematical heritage, exemplified by the Kerala School of 
Astronomy and Mathematics, provides a fertile context for such numerical explorations. This is 
further evidenced by widespread cultural practices, such as the use of yantras in temple 
architecture and the creation of geometrically precise Kalams in rituals, which demonstrate a 
profound cultural engagement with numerical and geometric harmony. Despite this rich 
backdrop, the Magic Square at Ārāttu Mandapam currently stands as the only known example 
of its kind discovered in Kerala.

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खंड

Articles

##submission.authorBiography##

Jee Francis Therattil

(Independent Researcher in Numismatics & Epigraphy) 
PLRA F 43/1, Opposite KELTRON, Panikker’s F Lane, 
Sasthamangalam, Thiruvananthapuram – 695 010. 
Corresponding author 

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[1] Mandapams are almost always characterised by a series of pillars that support the roof.

These pillars are often intricately carved with deities, mythological scenes, floral patterns,

and various other decorative motifs, showcasing exquisite craftsmanship.

[2] Ōla is the dried not so mature leaves of the Talipot palm (Corypha umbraculifera) and the

Palmyra palm (Borassus flabellifer), which are used for writing, using a sharp metal stylus

called nārāyam.

Journal of Bharatiya Paramparik Gyan Volume-1, No.-2 © 2026, Cuttack, Odisha

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[3] Mathilakam means inside the wall. Churuna refers to a rolled bundle of palm leaf manuscripts

(olas) from the Mathilakam Archives, which served as the central archive of the erstwhile

Trāvancōre kingdom.

[4] A purely solar calendar which started reckoning in 825 CE. So 933 KE corresponds to 1758

CE.

[5] Chakra Mandapam is the actual name of the mandapam as quoted in the Mathilakam

Churuna. Chakra is a wheel (Sudarshana Chakram), one of the two major attributes of

Vishnu.

[6] Means monolithic - the famous mandapam in the Sree Padmanābhaswāmy Temple.

[7] Shēvæli is a temple ritual consisting of a ceremonial procession where food offerings are

made to the various deities and their retinue within the temple complex. Shēvælippura refers

to the architectural structure or corridor within the temple complex where this Sheveli ritual

is performed.

[8] Kshethra Gōpuram is the temple tower.

[9] Painkuni is the Malayalam name for the festival that occurs in the month of Meenam, which

broadly corresponds to Panguni, the last month of the Tamil calendar.

[10] Alpashi is the Malayalam name for the festival that occurs in the month of Thulām, which

broadly corresponds to Aippasi, the seventh month of the Tamil calendar.

[11] Irakki Pooja is the pooja done after placing down the three palanquins having on them the

Utsava Mūrtis (Processional Idols), carried by priests on their shoulders.

[12] Bhadraganita is the term for the construction of magical squares or diagrams.

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Ramkrishna Bhat, Printed by: V.B. Soobbiah and Sons, M.B.D. Electronic Printing Works,

Bangalore, 1946.

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[17] Stephan Berendonk, Proving the loneliness of the Khajuraho square, The Mathematical

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[18] Ahmad al-Buni, Shams al-Ma'arif (The Book of the Sun of Gnosis), manuscript available at

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[20] A large 1514 engraving by the German Renaissance artist Albrecht Dürer. Behind the figure

is a structure with an embedded magic square. https://en.wikipedia.org/wiki/Melencolia_I

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square according to the Indians (chapter), page 228, Du Royaume de Siam, 1693. Digitally

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[24] Project Assistant, Cochin University of Science and Technology [CUSAT], Kochi.