Ayuta–Lakṣa–Koṭi Fire-offerings (अयुतलक्षकोटिहोमाः) — Graha-yajña Vidhi
सर्वकामाप्तये लक्षकोटिहोमद्वयं मतं गृहदेशे मण्डपे ऽथ अयुते हस्तमात्रकं
sarvakāmāptaye lakṣakoṭihomadvayaṃ mataṃ gṛhadeśe maṇḍape 'tha ayute hastamātrakaṃ
For the attainment of all desired aims, a twofold performance of homa—reckoned in lakṣa and koṭi of oblations—is prescribed. In one’s residential area, within a maṇḍapa, for an ayuta rite of ten thousand oblations, the kuṇḍa (fire-pit/altar) should be of one hasta (hand) in measure.
Lord Agni (in the Agni Purana’s primary narration to sage Vasiṣṭha)
Vidya Category: {"primary_vidya":"Mantra","secondary_vidya":"Vastu","practical_application":"Determining homa scale (lakṣa/koṭi counts) for desired siddhi and specifying the ritual space (gṛha-deśa, maṇḍapa) and kuṇḍa measurement (hasta) for ayuta-homa.","sutra_style":true}
Encyclopedic Reference: {"reference_type":"Procedure","entry_title":"Homa-counts (Lakṣa/Koṭi) and Kuṇḍa Measure for Ayuta-homa","lookup_keywords":["sarva-kāma-āpti","lakṣa-homa","koṭi-homa","maṇḍapa","hasta-mātra kuṇḍa"],"quick_summary":"For comprehensive wish-fulfillment, large-scale homas are prescribed; for a ten-thousand-oblation rite, the fire-pit is specified as hasta-mātra, performed in a domestic pavilion."}
Concept: Ritual efficacy is linked to correct quantification (saṅkhyā) and correct spatial arrangement (deśa/māna).
Application: When commissioning homa, match the intended fruit with prescribed oblation counts and ensure the kuṇḍa/maṇḍapa conforms to stated measures.
Khanda Section: Puja-vidhi (Homa-prayoga and ritual prescriptions)
Primary Rasa: shanta
Secondary Rasa: adbhuta
Type: Settlement
Visual Art Cues: {"scene_description":"A domestic maṇḍapa with a neatly measured fire-pit; a ritualist counting oblations with a rosary or tally; visual emphasis on measurement (hasta) and orderly arrangement of vessels.","kerala_mural_prompt":"Kerala mural: maṇḍapa interior, hasta-measured kuṇḍa drawn with clear geometry, priest preparing ājya and samidh, stylized measurement gesture, warm tones and decorative borders.","tanjore_prompt":"Tanjore: central kuṇḍa with gold-highlighted rim, maṇḍapa pillars, ritual implements arranged symmetrically, subtle inscription-like depiction of lakṣa/koṭi counts, rich ornamentation.","mysore_prompt":"Mysore: diagrammatic yet artistic layout—maṇḍapa plan, hasta-mātra kuṇḍa, labeled implements, calm instructional composition with fine linework.","mughal_miniature_prompt":"Mughal miniature: refined pavilion scene, a learned priest indicating measurements to assistants, tallying oblations, detailed carpets and vessels, emphasis on precision and order."}
Audio Atmosphere: {"recitation_mood":"instructional","suggested_raga":"Bilawal","pace":"medium","voice_tone":"instructional"}
Sandhi Resolution Notes: ऽथ = अथ (मण्डपे अथ); पदच्छेदः: सर्व-काम-आप्तये लक्ष-कोटि-होम-द्वयम् मतम् गृह-देशे मण्डपे अथ अयुते हस्त-मात्रकम्।
Related Themes: Agni Purana: kuṇḍa-lakṣaṇa and homa-prayoga passages near adhyāya 167; Agni Purana: Vāstu/maṇḍapa-related sizing principles in allied sections
It prescribes homa-quantities for sarva-kāma-siddhi (fulfillment of aims) and gives a practical specification for the ritual setup: performing homa in a household maṇḍapa, with a hand-measure (hasta-mātra) dimension for a ten-thousand-oblations rite.
Alongside theology, the Agni Purana preserves technical ritual engineering—counts of oblations (saṅkhyā), expected results (phala), and spatial/measurement guidance (maṇḍapa, hasta-mātra)—showing it functions as a practical manual of rites, not only narrative scripture.
By linking precise homa-performance (number of offerings and correct setup) with sarva-kāma-prāpti, the verse frames ritual exactness as a means to accrue merit (puṇya) and secure desired outcomes through disciplined sacrificial action.