Author Archives: mAnasa-taraMgiNI

The Mātrā-meru and convergence to a triangle

What is presented below will be elementary for someone with even just the mastery of secondary school mathematics. Nevertheless, even simple stuff might present points of interest to people who see beauty in such things. Consider the following question: Given … Continue reading

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The Aśvin-s and Rudra

The twin Aśvin-s and Rudra are both Indo-Aryan reflexes of two deity-classes which can be reconstructed as likely being present in the Proto-Indo-European religion. Both are likely to have even deeper roots going back to even earlier religious traditions across … Continue reading

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The roots of Vaiṣṇavam: a view from the numerology of Vedic texts

While glorified with a 1000 names in the famous stotra of the early Sātvata tradition of the Mahābharata, in the texts of an even earlier period the god primarily went under that name Viṣṇu. Indeed, even the litany of the … Continue reading

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Matters of religion-3

Lootika seeing Somakhya contemplating something remarked: “That great clash of men is upon us, where, as the śruti says, our flag will be mingled with that of the enemy in close combat.” Somakhya: “It’s almost as if your mind is … Continue reading

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Sequences related to maps based on simple fractional functions

One of the pleasures of an unstructured youth in the pre-computer era was what we called calculator games. As our father took his prized calculator with him to work we only got a little time with it in the evenings. … Continue reading

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Human journeys, ascents and descents

As we headed towards the bus-stand to take our homeward conveyance, we saw an unusual stir in its vicinity. We passed a clump of young, well-to-do, white American women ambling along holding over-sized coffee or cola cups and exclaiming: “Wow!” … Continue reading

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Some Nārāyaṇa-like convergents and their geometric and trigonometric connections

While playing with an iterative geometric construction in our youth we discovered for ourselves a particular right triangle whose sides are in the proportion , where is the Golden Ratio. This triangle is of course famous as being the basis … Continue reading

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