Could there be some complex mathematics behind Sanatan Dharma concepts?
In Chamakam, a very popular Yajur Vedic verse, from the Taittiriya Samhita, the devotee prays God to bestow different things. It has 11 anuvakas or sections; In the anuvakas 1 to 10, the devotee lists for almost everything needed for human happiness and specifies each item. But in the 11th anuvaka, the devotee prays for things specifically in terms of numbers, first in terms of odd numbers from 1 to 33 and later in multiples of 4 from 4 to 48, as follows:
एका च मेतिस्रश्च मेपञ्च च मेसप्त च मे
नव च म एकदश च मेत्रयोदश च मेपंचदश च मे
सप्तदश च मेनवदश च म एक विशतिश्च मे
त्रयोविशतिश्च मेपंचविशतिश्च मे
सप्तविशतिश्च मेनवविशतिश्च म
एकत्रिशच्च मेत्रयस्त्रिशच्च मे
चतस्रश्च मेऽष्टौच मेद्वादश च मेषोडश च मे
विशतिश्च मेचतुर्विशतिश्च मेऽष्टाविशतिश्च मे
द्वात्रिशच्च मेषट्त्रिशच्च मेचत्वरिशच्च मे
चतुश्चत्वारिशच्च मेऽष्टाचत्वारिशच्च मे
वाजश्च प्रसवश्चापिजश्च क्रतुश्च सुवश्च मूर्धा च
व्यश्नियश्चान्त्यायनश्चान्त्यश्च भौवनश्च
भुवनश्चाधिपतिश्च
which means:
“Let these be granted to me. One, three, five, seven, nine, eleven, thirteen, seventeen, nineteen, twenty one, twenty three, twenty five, twenty seven, twenty nine, thirty one and thirty three as also four, eight, twelve, sixteen, twenty, twenty four, twenty eight, thirty two, thirty six, forty, forty four and forty eight”.
Numbers do play an important part in prayers, for example, Worshippers of Lord Siva recite Rudram with 11 sections followed by Chamakam with 11 sections as a routine prayer every day. This is called the daily nyasam or mode of worship. In the Rudram part, the devotee pays repeated obeisance to Lord Siva and prays for his blessings for human well being. But on special occasions, the number of times the recitation is done is increased. In Rudra Ekadasi, Rudram is recited 11 times and Chamakam is recited once. After Rudram is recited once, one section or anuvaka of Chamakam is recited in order. In Laghurudram, Rudra Ekadasi is done 11 times, that is, Rudram is recited 112 or 121 times and Chamakam is recited 11 times. In Maharudram, 11 Laghurudrams are recited; that is, Rudram is recited 113 = 1331 times and Chamakam 112 = 121 times. In Atirudram, 11 Maharudrams are recited; that is, Rudram is recited 114 = 14641 times and Chamakam is recited 113 = 1331 times.
Yes, Mathematics does play an important part in Hindu daily life in several ways. Hence, it is no wonder that it has come to occupy an important place in religious rituals also. This is what we find particularly in the Hindu way of life or the Hindu religion. But, invoking these specific numbers is indeed curious! There must be some reason for the choice of these numbers while leaving out the rest!
An intricate analysis by a sanskrit scholar [1] brings out, an important number series, of how these numbers could have been arrived at? There seems to be some order!

Also the first series could be a simple 2n-1 series while the second set is just 4n!
What do these number series signify? If we observe the diagram below, Middle of the square points are connected and another square is formed. This might have a hint for the multiples of 4 series, but, how to explain the odd series?

Could there be a relationship between the figure and some hidden meaning of the number series in chamakam? Similar shapes could be seen on the roof of most of Garbhalayam above the main deity inside every Hindu Temple.


Not only squares but petals of lotus inspired worshipers the intricate link between the nature and the supreme power. Sri chakram, considered sacrosanct by the Devi worshippers must have links with the set of odd numbers and the even ones. But the number of petals and triangles do not sync with the chamakam numbers; the importance of Sri chakram numbers are given in the 14th verse of Soundarya Lahiri.

षितौ षट्पञ्चाशद्द्विसमधिकपञ्चाशदुदके
हुताशे द्वाषष्टिश्चतुरधिकपञ्चाशदनिले।
दिवि द्विःषट्त्रिंशन्मनसि च चतुःषष्टिरिति ये
मयूखास्तेषामप्युपरि तव पादाम्बुजयुगम्॥
“Fifty four rays of pṛthivī tattva, fifty six rays of water tattva, sixty two rays of fire tattva, fifty four rays of air tattva, seventy rays of ākāśa (ether) tattva, sixty four rays of mind tattva, all originate from Your lotus feet in the middle of sahasrāra.”
whether there is any link of the chamakam numbers to srichakras? There may be many more hidden meaning in seeking the blessings of Almighty in numbers, which only the Vedic scholars may fathom!
Credits:
[1] https://youtu.be/h6ERtEnpcvM