In general in a n matra vrutta prastaar, if n is even the metrical forms will have only even number of Laghus. And if n is odd the metrical forms will have only odd number of Laghus

An amazing property of Virahanka’s numbers: Any positive integer can be represented either as a Virahanka number or as a sum of non-consecutive Virahanka numbers (Sankhyaank), without repetition.

For the tree graphs used to generate the matra prastaar for quarter having ‘n’ matras, every node will have two branches – first one for G and second one for L, & the branches end when their total matra values become equal to ‘n’

Virahanka gave a comprehensive explanation of the Prastaar and Sankhya pratyays for matra vrutta in his Prakrit work Vrattajati samuccaya – Fibonacci sequence is actually the sequence of Virahanka’s Sankhyankas

In previous articles, we have dealt with poetic meters where all the four quarters of a verse had the same pattern of Laghus and Gurus. Such meters are called Samavrutta.

This is in continuation of my two previous articles – How Pingala created the Binary Number System and Pingala’s Algorithm for Binary Conversion. In the 11th century CE, Kedar Bhatt…

Engineer, Scientist, Mathematician, Author, Photographer, Painter, Designer and Management consultant. Chandrahas Halai is an engineering consultant with interests in many diverse fields like mathematics, physics, aerospace, mechatronics, and mechanical engineering. For the last 20 years he has been involved in engineering consultancy and for the last 12 years he is involved in computer training and consultancy.
He is also author of the book 'Vedic Mathematics Inside Out'.