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Indian Knowledge Systems (IKS) & Computational Astronomy

Śāstra & Gaṇita Knowledge Center

The definitive open computational reference for Vedic astronomy (Jyotiṣa), sacred architecture (Vāstu / Sthāpatya Veda), and multi-disciplinary place creation. Grounded in classical Sanskrit treatises, verified by Swiss Ephemeris mechanics, and reconciled with modern physics and building codes.

The 4 Pramāṇas: How We Guarantee Authenticity

Indian epistemology (Nyāya-Vaiśeṣika) demands strict validation before any claim is accepted as truth.

1. Śāstra Pramāṇa

Every rule explicitly cites its Sanskrit root treatise (*Mānasāra*, *Mayamata*, *Sūrya Siddhānta*, *BPHS*) with chapter, verse, and transliterated shlokas.

2. Gaṇita Pramāṇa

Uncompromising mathematical formulations: continuous root-finding, shoelace polygon centroid (*Nābhi*), and exact modulo arithmetic in sacred Hasta units.

3. Pratyakṣa Pramāṇa

Drik-tulyata observational fidelity: calculations must match the actual sky. Swiss Ephemeris DE431, topocentric horizons, and the limb and refraction flags each body is actually observed by.

4. Yukti Pramāṇa

Scientific and rational synthesis: circadian solar UV daylighting, infrared thermal inertia mass, leeward sanitation, and National Building Code (NBC 2016) compliance.

Core Reference Compendiums

Vedic Astronomy & Jyotiṣa

Cosmic Timing & Ephemeris Mechanics
7 Chapters

Complete 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.

Tithi ElongationBrent Root-FindingSwiss EphemerisEclipse Sutak Kaal

Vāstu & Sthāpatya Veda

Sacred Computational Geometry
6 Chapters

Vector mathematics for True North orientation, Shoelace polygon centroid (*Nābhi*), 16 directional zones ($22.5^\circ$), 32 entrance padas ($11.25^\circ$), Marma vulnerability buffers, Ayadi Shadvarga modular arithmetic, and NBC 2016 safety reconciliation.

Shoelace Nābhi16 Zones & 32 PadasĀyādi ṢaḍvargaNBC 2016 Fire Safety

IKS Living Place Creation

Multi-Disciplinary Shaastra Stack
5 Chapters

The 9-layer Shaastra-as-a-Service stack integrating Vāstu, Vṛkṣāyurveda arboriculture, Paśu Śāstra bovine welfare, Nāṭyaśāstra acoustic mandapas, and Arthaśāstra industrial manufacturing flow.

9-Layer StackVṛkṣāyurveda BuffersGośālā Bio-FlowsIndustrial Lean Flow

Step-by-Step Tutorials

Pedagogy, Manual Math & Practical Field Guides
5 Guides

Practical 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.

Manual PanchangaAyadi WalkthroughShanku True NorthEpistemic Checklist

Interactive Formula Sandboxes

Experience the mathematical models live before diving into the formal specifications.

Panchanga limb sandbox

Illustration, not the engine

Move 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 engine

Change 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.

Perimeter = 2 × (L + W) ÷ 1.5 ft/hasta = 93 hasta

Āya (×8 mod 12)
12
Vyaya (×9 mod 10)
7
Yoni (×3 mod 8)
7 · Gaja (Elephant)
Vāra (×9 mod 7)
Budha (Mercury)
Nakṣatra (×8 mod 27)
15
Āyu (×27 mod 100)
11

Āya clears Vyaya — the condition the set is checked for.

Yoni 7 (North) is an odd, favourable yoni Exalted / abundance.

Canonical Primary Treatises Catalog

Every algorithm, layout rule, and celestial coordinate calculation in Pūjāvāni is directly mapped to the following ancient Sanskrit source treatises:

Sūrya Siddhānta (सूर्यसिद्धान्त)
Attributed to Maya / Varahamihira recension

Solar-lunar mean motions, sidereal revolutions per Mahayuga, epicycles (*manda* and *shighra* corrections).

Mānasāra (मानसार वास्तुशास्त्र)
Sage Manasara (South Indian Tradition)

Definitive treatise on residential architecture, town planning, Ayadi Shadvarga formulas, and Hasta measurements.

Mayamata (मयमतम्)
Mayasura (Chola-era architectural canon)

Padavinyasa grid systems (81-pad Paramasayika, 64-pad Manduka), entrance doorways, and building orientation.

Bṛhat Saṃhitā (बृहत्संहिता)
Varahamihira (6th century CE)

Encyclopedic Vedic science: Vāstuvidyā (Ch. 53), arboriculture (Vṛkṣāyurveda, Ch. 55), and astrological omens.

Viśvakarma Prakāśa (विश्वकर्मप्रकाश)
Lord Vishvakarma / North Indian School

16-zone directional energetic allocations, Marma vital intersection lines, and room placement matrices.

Samarāṅgaṇa Sūtradhāra (समराङ्गणसूत्रधार)
King Bhoja of Dhar (11th century CE)

83 chapters on royal palaces, town planning, mechanical devices (*yantras*), and structural aerodynamics.