Śāstra & Gaṇita Knowledge Center
The open reference behind Pūjāvāni’s calculations: Vedic astronomy (Jyotiṣa), sacred architecture (Vāstu and Sthāpatya Veda), and place creation across several disciplines. Each rule names the classical treatise it comes from, the astronomy is computed with the Swiss Ephemeris, and building science and building codes are set beside the traditional rules.
The four pramāṇas: how each claim is checked
Indian epistemology (Nyāya-Vaiśeṣika) asks how a thing is known before it is accepted.
1. Śāstra Pramāṇa
Each rule names the treatise it comes from (Mānasāra, Mayamata, Sūrya Siddhānta, the Bṛhat Saṃhitā) and, where the verse could be located, its chapter and verse — and says so where it could not.
2. Gaṇita Pramāṇa
Stated as mathematics: root-finding for the moment a limb turns, the shoelace polygon centroid (Nābhi), and modulo arithmetic in hasta units.
3. Pratyakṣa Pramāṇa
Drik-tulyata: the calculation is meant to match the sky as it is observed. Swiss Ephemeris DE431, topocentric horizons, and the limb and refraction flags each body is actually observed by.
4. Yukti Pramāṇa
Reasoned checks: where a rule has a building-science basis — daylight, heat gain, ventilation — the corpus says so, and it sets the traditional rules beside the building rules that bind a building.
Core Reference Compendiums
Vedic Astronomy & Jyotiṣa
Cosmic Timing & Ephemeris MechanicsComplete mathematical derivations for the 5 Limbs of Panchanga (Tithi, Vara, Nakshatra, Yoga, Karana), continuous root-finding, Drik vs Siddhantic drift, Lahiri Chitrapaksha Ayanamsha, and what the engine's own test suite does and does not check.
Vāstu & Sthāpatya Veda
Sacred Computational GeometryThe classical canon with its verse citations — the Bṛhat Saṃhitā’s door verdicts, the Maṇḍūka grid, the named hastas, where rooms belong and which located statements support each placement — beside the geometry: True North orientation, the shoelace polygon centroid (Nābhi), 16 directional zones (22.5°), 32 entrance padas (11.25°), and Ayadi Shadvarga modular arithmetic.
IKS Living Place Creation
Multi-Disciplinary Shaastra StackThe 9-layer Shaastra-as-a-Service stack integrating Vāstu, Vṛkṣāyurveda arboriculture, Paśu Śāstra bovine welfare, Nāṭyaśāstra acoustic mandapas, and Arthaśāstra industrial manufacturing flow.
Step-by-Step Tutorials
Pedagogy, Manual Math & Practical Field GuidesPractical hand-calculation walkthroughs: derive a Panchanga from raw celestial coordinates, compute house Ayadi Shadvarga by hand, align to True North via solar gnomon (*Shanku*), and plan an industrial facility.
Interactive Formula Sandboxes
Experience the mathematical models live before diving into the formal specifications.
Panchanga limb sandbox
Illustration, not the engineMove either longitude and watch the three limbs that follow from them. This classifies a single instant; the engine additionally solves for the moment each limb ends, which is the figure an almanac actually publishes.
- Tithi — (Moon − Sun) mod 360, ÷ 12°
- Saptamī#7
- Śukla pakṣa (waxing) · elongation 82.70° · 89% elapsed
- Nakṣatra — Moon ÷ 13°20′
- Maghā
- #10 · pāda 3
- Yoga — (Sun + Moon) mod 360, ÷ 13°20′
- Harṣaṇa
- #14
Āyādi Ṣaḍvarga sandbox
Illustration, not the engineChange a dimension and watch the modular arithmetic move. The residues here are computed in the page so the steps are visible; the authoritative values come from the Vaasthu engine.
Area = (L ÷ 1.5) × (W ÷ 1.5) ft/hasta = 533.4 hasta²
- Āya (×8 mod 12)
- 4
- Vyaya (×9 mod 10)
- 7
- Yoni (breadth ×3 mod 8)
- 4 · Śvan (Dog)
- Vāra (×9 mod 7)
- Soma (Moon)
- Nakṣatra (×8 mod 27)
- 25
- Āyu (×27 mod 100, no located verse)
- 91
Āya does not exceed Vyaya — the one condition the traditions share.
Yoni 4 (South-West) is an even yoni, not counted good — the texts' list gives no more than that.
Canonical Primary Treatises Catalog
The calculations and layout rules in Pūjāvāni draw on these Sanskrit treatises. The page that uses a rule gives its citation, and the rule corpus grades how well each one is evidenced:
Solar-lunar mean motions, sidereal revolutions per Mahayuga, epicycles (*manda* and *shighra* corrections).
A treatise on residential architecture, town planning, Ayadi Shadvarga formulas, and Hasta measurements.
Padavinyasa grid systems (81-pad Paramasayika, 64-pad Manduka), entrance doorways, and building orientation.
An encyclopedia of Vedic science: the house chapter (Vāstuvidyā — chapter 52 in Kern’s numbering, 53 in Sastri–Bhat), arboriculture, and astrological omens.
Room-by-room placements in the house (chapter 2), which the reference sets beside the modern sixteen-direction practice.
83 chapters on royal palaces, town planning, and mechanical devices (yantras).