Kalki Gupta Leela · the play in concealment

GUPTA
LEELAThe hidden mathematics of all faiths

Torah, Gospel and Quran. Veda, Gita and Granth. Avesta, Agamas, Sutras and the Dao. Many of them used number and shape to help memory and guard their texts against change: letter-values, meters, counts and calendars. Explore that mathematics here, in three acts, and hear each faith in its own words.

Begin with Light 🎬 Film library
Drag to turn the nexus
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Before you begin

How to read this museum

Some things here are historical fact. Some are what a tradition teaches. Some are one reading among many, and one film is a story we made up. Every scene in the films carries a tag, so you always know which kind of claim you are looking at.

Our lens: four ideas from Sanatan Labs

Gupta Leela is read through four ideas of the Sanatan Labs framework. They are our lens, not the teaching of any faith shown here, and no tradition needs them to be complete. Each film carries a small tag naming the idea it touches.

PASSIONITHow change happens · 8 steps

Probing, Innovating, Acting, Scoping, Setting, Owning, Nurturing, Internal Transformation. Each step is also one note of the Indian scale.

Example: Siddhartha probes (the four sights), innovates (the Middle Way), acts (sits beneath the Bodhi tree) and is transformed within (awakening).

PRUTLFive values and their shadows

Peace or Pride · Respect or Rule · Unity or Usurp · Trust or Tempt · Love or Lust. Every society sits somewhere between each value and its shadow.

Example: the Sikh langar chooses Unity over Usurp: kings and beggars sit in the same row and eat the same food.

KALKIThe reset when balance tips

In Hindu tradition Kalki is the tenth avatar, who ends an age of decline. Here we use the name for any return to balance.

Example: the Jubilee year of the Torah, Jain Kshamavani forgiveness, and South Africa's Truth and Reconciliation Commission.

AIDHARMABalance that serves everyone

Measured in the Shambala hall as μ(1 − 2σ): high on average, and fair across all five PRUTL values.

Example: each faith has its own word for it: Ṛta, Asha, Mizan, Tzedek, the Dao, Ubuntu.

🖼 About the pictures. The artwork in this museum is an AI-assisted artistic interpretation. Any lettering inside the pictures is decorative; it is not real script or scripture. Real verses appear only in the captions, with their sources. The Prophet Muhammad ﷺ is never depicted.

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Film & Video Library

The stories of every faith

Each film tells the story first: the Exodus and Sinai, the Last Supper and the Cross, the sleepers of the Cave, the Bodhi tree, Guru Nanak at the river, Laozi at the gate. Then it draws the mathematics that tradition gave the world, live over the picture. The pictures stay still and close-ups are cut, never panned. Turn on 🗣 Voice inside a film to hear it narrated.

Video library · from Kalki Leela and Yuga Leela

The Gita trailer plays here. The Shambhala, Kalki Academy and closing films play inside the page in the downloaded or hosted copy; in this preview they open on YouTube.

7D

From Yuga Leela · Experiences

Step inside the Leela

Two journeys brought over from Yuga Leela. Fly first-person through every image of Gupta Leela, diving into the Torah, the Bible, the Quran and each mandala; or walk the kora of Kailash, sacred to four faiths, in real 3D. Both run in 2D, 3D, red-cyan glasses and 7D with sound, touch and motion. Use headphones; hold ▲ ▼ ◀ ▶ to move, or let it play.

Or jump straight into one world

I

Act I · Geometry

Light

Fiat Luxنورאורज्योति光

“Let there be light” opens Genesis. “God is the Light of the heavens and the earth” opens Surah An-Nur’s great verse. The Vedas pray “lead me from darkness to light”. Light is also how we see shape, and every tradition drew its holiest ideas as geometry.

From Yuga Leela · One Light, many doors

Reach out and touch each door: the Kaaba, the Cross of Light, the Dome of the Rock, the Golden Temple, the Buddha of the caves, the Yin-Yang of the cosmos, Kailash and Vishnu on the deep ocean. The light behind each is the same. The halls below show how each drew that light as number and shape.

JudaismIslamHinduismZoroastrianismBahá’íPythagorean

The Star Forge: seals written as {n/k}

Take n points on a circle and join every k-th one. The Star of David is {6/2}, two triangles. The Rub el Hizb of Quranic manuscripts is {8/2}, two squares. A seven-pointed heptagram {7/2} marks the seven days of Genesis and the seven Amesha Spentas of Asha.

point angle = 180°·(n − 2k)/n  ·  chord ratio = sin(kπ/n) / sin(π/n)  ·  pieces = gcd(n,k)

When gcd(n,k) > 1 the star breaks into separate shapes: {6/2} is two {3/1} triangles. For the pentagram {5/2}, the chord ratio is the golden ratio φ ≈ 1.618.

The Sri Yantra button draws a stylised form: 4 upward and 5 downward triangles. The true yantra interlocks them into 43 small triangles.

Drag to turn · layers stack in depth
PythagoreanVedicBabylonianChineseIslamicMaya

The Right Angle and the Zero: two gifts everyone shares

The rule a² + b² = c² was used to lay out temples and altars long before it had a name. Babylonian scribes listed right triangles around 1800 BCE. India's Shulba Sutras gave the rule for fire altars. China drew it as the gougu figure. Pythagoras' brotherhood, for whom number was holy, gave it the name we use.

a = m² − n²  ·  b = 2mn  ·  c = m² + n²  ⇒  a² + b² = c²

Zero came from the same search for the measure of things. Indian thinkers called the void śūnya. Brahmagupta (628 CE) made it a number with rules of its own. Baghdad called it ṣifr, Fibonacci carried it to Europe as zephirum, and the Maya found it for themselves as a shell.

a + 0 = a  ·  a × 0 = 0  ·  a ÷ 0 = khahara (Bhāskara: unchanged, “as the infinite God”)
Choose m and n · every pair gives a right triangle
BuddhismHinduismJainism

The Mandala you can walk: Borobudur

Borobudur in Java is a mandala built in stone. Pilgrims climb six square terraces, then three circular ones, spiralling inward to a single crowning stupa. The square is the world of form; the circle is the formless.

The three round terraces carry 32, 24 and 16 latticed stupas. That is 72 around one centre, and 32 : 24 : 16 reduces to 4 : 3 : 2, the same descending ratio as the Yugas of Act III.

squares → circles → point  =  form → formless → Śūnya (0)

Śūnyatā, emptiness, is the centre. India gave the world zero as a written digit; in this mandala, the zero is where the climb ends.

Drag to walk around
ChristianityJudaismPythagorean

Numbers with a shape: the triangle

Stack dots in rows of 1, 2, 3 … n and you get a triangle of T(n) dots. Some of scripture’s famous numbers are exactly these shapes.

T(n) = 1 + 2 + … + n = n(n + 1) / 2

28 = T(7): the letters of Genesis 1:1, set in exactly 7 Hebrew words. 153 = T(17): the fish in the unbroken net of John 21:11. 2701 = T(73): the gematria sum of Genesis 1:1, which is also 37 × 73. 666 = T(36).

Find the n that makes the 153 fish of the unbroken net. Move the slider until T(n) = 153.
II

Act II · Algebra

Love

אהבהعشقप्रेमἈγάπη愛

In Hebrew, אהבה (ahava, love) and אחד (echad, one) both add up to 13. Love and oneness weigh the same, and together they make 26, the value of the Divine Name. This act is about letters that are numbers, numbers that are logic, and logic that becomes music.

Judaism · GematriaChristianity · IsopsephyIslam · Abjad

Every letter is a number: the cipher of scripture

Hebrew, Greek and Arabic had no separate digits. Aleph, Alpha and Alif were 1; Yod, Iota and Ya were 10. So every word has a value, and scribes could check a copied verse like a checksum.

דוד David = 4+6+4 = 14, and Matthew 1 arranges the genealogy of Jesus into 3 × 14 generations. Ἰησοῦς Iēsous = 888. بسم الله الرحمن الرحيم = 786. And ميزان Mīzān, the Balance, = 108, the bead count of a Hindu or Buddhist mala.

value(word) = Σ value(letter)  ·  then test: prime factors · triangular? · mod 7 · digital root
0
Use the Hebrew keypad to build any word worth 26, the value of the Name (Yod 10, He 5, Vav 6, He 5).
Hinduism · KaṭapayādiKerala school of mathematics

π hidden in a hymn to Krishna

Sanskrit poets had their own letter-number code, Kaṭapayādi: ka, ṭa, pa and ya each begin a row counting 1, 2, 3 … So a verse can praise Krishna among the gopis and also carry a number.

This famous verse, read syllable by syllable, gives 31415926535897932384626433832792. The first 31 digits are π. Press decode and watch the hymn turn into the circle’s constant.

k=1 kh=2 g=3 gh=4 … · ṭ=1 … · p=1 … · y=1 r=2 l=3 v=4 ś=5 ṣ=6 s=7 h=8 · in a conjunct, the last consonant counts

गोपीभाग्यमधुव्रात शृङ्गिशोदधिसन्धिग । खलजीवितखाताव गलहालारसन्धर ॥

Decoded—
π3.1415926535897932384626433832795…
TorahBibleQuran

The mirror at the heart: ring composition

Ancient scripture often folds like a mirror: A B C D | X | D′ C′ B′ A′. The story climbs to a centre and then reflects back. In the Flood narrative the centre is Genesis 8:1, “And God remembered Noah”. The 7, 7, 40 and 150 days before it return as 150, 40, 7 and 7 after it.

Surah Al-Baqarah has 286 verses. Its midpoint, verse 143, calls the believers ummatan wasaṭan, “a middle nation”. Remove a line and the mirror breaks, so the shape guards the text.

mirror index SMI = 1 − Σ|Lᵢ − L′ᵢ| / Σ(Lᵢ + L′ᵢ)  ·  midpoint = (N+1)/2

Match each half with its mirror (Genesis 7–8)

Tap a left card, then its mirror on the right. Restore all four pairs.

Mirror index · drag the weights of the four pairs

SMI1.000
Verdictperfect mirror
DaoismConfucianism

Yin, Yang and the first binary code

A broken line is yin (0); a solid line is yang (1). Three lines make the 8 trigrams of the Bagua, 2³. Six lines make the 64 hexagrams of the I Ching, 2⁶. In 1703 Leibniz saw that an ordering of the hexagrams by Shao Yong ran exactly through his new binary numbers from 000000 to 111111.

value = Σ bᵢ · 2ⁱ (bottom line i = 0)  ·  2⁶ = 64 = 4³

Because 64 = 4³, the whole I Ching folds into a 4 × 4 × 4 cube. Each pair of lines gives one coordinate. Turn the cube and watch your hexagram light up.

Click the lines to flip yin ↔ yang
Jainism · SyādvādaBuddhism · Eightfold Path

Seven ways of truth: Saptabhaṅgī

Jain logic says any claim holds only “in some way” (syāt). Combine three basic answers, it is, it is not and it is inexpressible, in every non-empty way and you get exactly seven predicates.

non-empty subsets of 3 = 2³ − 1 = 7  ·  add the empty set Śūnya → 2³ = 8

In modern algebra those seven are the points of the Fano plane, the smallest perfect geometry: 7 points, 7 lines, 3 points on every line. Pick any two predicates and the third on their line is their sum (XOR). Add the zero vector and you have 8, the spokes of the Dharma wheel.

Jain thinkers also sorted numbers into countable, uncountable and infinite (saṅkhyāta, asaṅkhyāta, ananta) and named several kinds of infinity, long before Cantor.

Predicate—

Tap two points: the third point on their line lights up.

Sikhism · 31 RagasHinduism · SvaraZoroastrianism · GathasIslam · Tajwīd

Ratios you can hear: the eight PASSIONIT notes

The Guru Granth Sahib opens with ੴ, Ik Onkar: the numeral 1 joined to Onkar. Its 1,430 angs are arranged by 31 ragas, not by author or date. The Gathas of Zarathustra hold strict syllable counts, and Quran recitation follows exact lengths of tajwīd. Sound kept the text safe.

The notes of an Indian scale are whole-number ratios. Start Sa at 240 Hz and every note lands on a whole number. Each note is also one stage of PASSIONIT.

Sa 1 · Re 9/8 · Ga 5/4 · Ma 4/3 · Pa 3/2 · Dha 5/3 · Ni 15/8 · Sa′ 2  →  angle on the circle = 360° · log₂(ratio)
Echo the raga: press Listen, then play the same four notes.
III

Act III · Balance

Humanity

UbuntuइंसानियतإنسانيةRen 仁ਸਰਬੱਤ ਦਾ ਭਲਾ

“I am because we are.” Humanity is mathematics applied to people: dividing fairly, keeping time, and holding the scale level. Surah Ar-Rahman says God “set up the Balance, so that you do not transgress in the Balance” (55:7–8). The Vedas call the same order Ṛta; Zarathustra called it Asha.

Islam · ʿIlm al-FarāʾiḍAl-Mīzān

The algebra of fair shares: al-ʿAwl

Surah An-Nisa fixes inheritance shares as fractions: ½, ¼, ⅛, ⅔, ⅓, ⅙. Sometimes the fixed shares add up to more than the whole estate. Classical jurists solved it without cutting anyone out: they raised the common denominator to the total of the numerators. Every heir keeps the same ratio to every other heir.

Σ sᵢ = N / D > 1  ⇒  sᵢ′ = sᵢ · D / N  (ratios sᵢ : sⱼ unchanged)

Working these cases took serious fraction arithmetic. Al-Khwarizmi gave a large part of his book on al-jabr, the work that named algebra, to inheritance problems.

Simplified teaching cases from classical texts; real cases depend on the full set of heirs. Ask a qualified scholar for any actual estate.

When Σ > 1, enter the new denominator that restores the Balance.
Hinduism · YugasMahabharataGita

Time as a ratio: 4 : 3 : 2 : 1

The four Yugas shrink in the ratio 4 : 3 : 2 : 1 as Dharma loses one leg each age. With Kali Yuga at 432,000 years, Dwapara is 864,000, Treta 1,296,000 and Satya 1,728,000. The cycle is 4,320,000 years; a thousand cycles make one day of Brahma, 4.32 billion years. The Earth’s measured age is about 4.54 billion.

Mahāyuga = 432,000 × (4+3+2+1) = 4,320,000  ·  Kalpa = 1000 × that = 4.32 × 10⁹

The Kurukshetra war used a unit called the Akṣauhiṇī: 21,870 chariots, 21,870 elephants, 65,610 horses and 109,350 foot soldiers. The digits of every one of those numbers add to 18. Eighteen armies fought for eighteen days; the Gita has eighteen chapters; the epic has eighteen books.

Time runs along the spiral
All faiths

The hidden numbers: the same digits in every house of God

Tap each card. These numbers return in tradition after tradition. That is the Gupta Leela: one pattern, many languages.

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Every faith a guest of honour

In their own words

Before the finale, each tradition speaks for itself: one line from its own scripture or teachers, how its followers describe it, and where it honestly differs from the others. Harmony means more when the differences are respected too.

✦ Our lens, their faiths. The Shambala finale that follows reads every tradition through the Kalki framework. Kalki comes from Hindu tradition; no other faith here claims him, and none needs him to be complete. Where the museum links a faith to PASSIONIT, PRUTL, KALKI or AIDHARMA, that is Sanatan Labs' interpretation, not that faith's teaching.

✦

Finale · Kalki Gupta Leela

Shambala

गुप्त लीलाالسرّ الخفيסוד ה׳KhafiSirr

Shambala is the inner control room where all these codes meet: the base-7 checksums, the letter-numbers, the 64 states of the Dao, Ṛta and Al-Mīzān. There Kalki works in concealment (gupta) and in play (leela), quietly re-balancing what greed has tipped over. This finale is Sanatan Labs' own Kalki lens on all the faiths, offered as interpretation.

PASSIONITPRUTLKALKIAIDHARMA

The PRUTL equilibrium: five letters on the scale

Each PRUTL letter has a positive soul and its shadow: Peace or Pride, Respect or Rule, Unity or Usurp, Trust or Tempt, Love or Lust. Set where a society stands on each. The pentagon above the plane is the soul; its mirror below is the shadow.

AIDHARMA = μ · (1 − 2σ)   where μ = mean of the five, σ = their spread

PASSIONIT forges through eight stages, one per note. PRUTL audits five states, like Syādvāda weighing every side. KALKI is the reset to Śūnya when the scale tips. AIDHARMA is the level Balance that serves all.

The seal of Light, Love and Humanity

Any point inside a triangle is a weighted mix of its three corners. Those weights (λ₁, λ₂, λ₃) always add to 1. They are called barycentric coordinates, from the Greek for “centre of weight”.

P = λ₁·Light + λ₂·Love + λ₃·Humanity,   λ₁+λ₂+λ₃ = 1

Drag the point. Only at the centroid, where each weight is ⅓, are all three in perfect balance. Find all seven Gupta keys in the halls, then bring the point to the centre to open the KhafiSirr.

Sanatan · Sanskrit

गुप्त लीला

Gupta Leela: the hidden, playful work of consciousness behind the world.

Islamic · Arabic

السرّ الخفي

Al-Sirr al-Khafi: the most hidden secret; the Bāṭin behind the visible.

Biblical · Hebrew / Greek

סוד · Μυστήριον

Sod and Mystērion: the secret counsel and the hidden plan.

Project codename

KhafiSirr

The quiet engine that checks every checksum and keeps the Balance.

♪

The Leela soundtrack

Fifteen songs, one heart

Every song has its own dance from somewhere in the world: Sufi whirling for Noor, Bon Odori for Hikari, Dabke for the Arabic Ishq, Garba for Insaaniyat, a Russian khorovod, a Chinese ribbon dance, K-pop lines, Filipino tinikling. Calligraphy in each song’s own script dances with them. The floor is the star polygon of that faith. The music follows you from act to act; choose any song to keep it playing.

Drag to walk around the stage
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Before you leave

One rule, in every tongue

Thirteen traditions, each in its own words, arriving at one rule: treat others as you would be treated. It is the simplest equation in this museum: what you give = what you would receive.

Leave with a promise

Choose what you will carry out of the museum. Your pledge stays only in this browser.

∞

The last song · Exit of the museum

ZINDAGI RUHANI

ज़िंदगी रूहानीزندگی روحانیLa vita è bellaUpendo wa milele人生短暂

A global celebration of life and love. Seven minutes and thirteen languages carry one message: life is two days, so love. Hindi, Urdu, Italian, Arabic, English, Chinese, Persian, Punjabi, Russian, French, Spanish, German and Swahili each take a verse, then all meet in one chorus. This is the song you leave the museum with. Below, every section shows the original words, the words in your language, and how that verse lives the PASSIONIT · PRUTL · KALKI · AIDHARMA framework.

Lyrics and meaning

Choose your language at the top of the page. Tap any line to hear the song from there. Each section names its PASSIONIT stage and the PRUTL letters it restores; hover a letter to see which soul it raises over which shadow.

Step inside the museum

Sanatan Labs Global Virtual Museum

WebXR domes, wooden tactile kiosks and live inheritance solvers: the halls of this Leela are built to stand in a real museum. Visit the Sanatan Labs museum to walk through the Kalki Leela and the wider collection.

museum.sanatanlabs.com

kalkileela.sanatanlabs.com

Powered by PASSIONIT · PRUTL · KALKI · AIDHARMA