(16) Surrogate Ramanujan Yantra.
Pankaj Khanna
9424810575
Previous/Next Blog Posts:
(1) Beauty Squarely Introduction & Kuber Yantra
(2) Murphy Radio!? अले वाह!! My first Experience of Magic Square.
(3) Decoding the Quadratum Mirabile! How to solve 3x3 Magic Squares.
(4) Lo Shu Square History of Chinese Magic Square.
(5) The Unhurried Odyssey of a Turtle!! History of Magic Squares in short.
Brief Introduction.
(7) Khajuraho Magic: Introduction.
(8) Chautisa Yantra: Mytho-math Spice.
(9) Dürer Square
(11) Tona Lisa as a Rock Star!
(16) Surrogate Ramanujan Yantra.
Since all sixteen numbers in Ramanujan’s own square are proudly natural and perfectly distinct, any Birthdate Square worthy of the name is ideally expected to follow the same discipline—no negative mischief, no repeated freeloaders. In short, every number must behave like a well-trained integer.
In most cases, the original Ramanujan Square works beautifully for constructing birth-date magic squares with the above conditions. Only a handful of “stubborn birthdays” dare to resist its spell.
But fear not. Mathematics, much like mythology, never runs out of avatars.
When one form hesitates, another cheerfully steps in.
There exists at least one more elegant incarnation of the Ramanujan Square, created from the same sacred arithmetic ritual: the original birth-date numbers gently changed by ±1, ±2, and ±3—nothing more, nothing less.
Let us simply call it the “1-2-3 Technique.”
Order everywhere. Rebellion nowhere. The discipline is absolute. Every row, every column, both diagonals, and even seven out of the nine smaller 2×2 squares march in perfect synchrony, all saluting the same immutable magic sum—139.
(And here comes a delightful aside. In nature, Uranium-235 occurs roughly in a 1 : 139 ratio in natural ore. Rare, precious, and powerful. But Srinivasa Ramanujan? He occurs in a ratio closer to 1 in billions. Far rarer than uranium. Far more luminous too.)
An image of this lesser-known yet perfectly obedient variant of Ramanujan's birthdate square is shown below.
Notice how his birth date is placed in the first row, and then calmly generated are the remaining twelve numbers using nothing but those same four values and the “1-2-3 Technique.” No heavy mathematical jugglery, no complicated rituals.
Now we do what Ramanujan would have enjoyed most—we generalise. Starting from the square above, just as we did with the original Birthdate Square, we arrive at a second generator for Ramanujan’s Birthdate Square. One more twist, one more tool, and suddenly the playground of possibilities gets even larger.
I wish to name it The Surrogate Ramanujan Yantra—born of Ramanujan’s mathematical DNA, yet delivered by unknown hands. Like a found manuscript, unsigned but unmistakably authentic. A surrogate, yes.
But one with impeccable lineage.
So here goes the Surrogate Ramanujan Yantra.
And here both the generators are shown in a diptych for easier comparision and better understanding.
This new generator stands proudly alongside the original Ramanujan Yantra, and like it, has the remarkable power to produce infinitely many Birthdate Squares for Ramanujan’s own date of birth. One idea, two generators—both opening the door to endless numerical possibilities.
However, some birth dates, it seems, have minds of their own and politely refuse to cooperate with either Ramanujan generator. They sit there, arms folded, thoroughly unimpressed—much like many of us who remain unmoved by the beauty of numbers or the elegance of mathematical language, yet eagerly scroll for endless political debates and fresh memes on social media.
Which dates are these mischievous rebels? That secret is reserved for the next blog post!
Pankaj Khanna
9424810575
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मेरे कुछ अन्य ब्लॉग:
हिन्दी में:
तवा संगीत : ग्रामोफोन का संगीत और कुछ किस्सागोई।
रेल संगीत: रेल और रेल पर बने हिंदी गानों के बारे में।
साइकल संगीत: साइकल पर आधारित हिंदी गाने।
कुछ भी: विभिन्न विषयों पर लेख।
तवा भाजी: वन्य भाजियों को बनाने की विधियां!
मालवा का ठिलवा बैंड: पिंचिस का आर्केस्टा!
ईक्षक इंदौरी: इंदौर के पर्यटक स्थल। (लेखन जारी है।)
अंग्रेजी में:
Love Thy Numbers : गणित में रुचि रखने वालों के लिए।
Epeolatry: अंग्रेजी भाषा में रुचि रखने वालों के लिए।
CAT-a-LOG: CAT-IIM कोचिंग।छात्र और पालक सभी पढ़ें।
Corruption in Oil Companies: HPCL के बारे में जहां 1984 से 2007 तक काम किया।
