Eight Mansions Trigram Calculator
Calculate Bagua Trigram (Cung Menh) and Eastern/Western compass groups by birth year and gender.
Input Parameters
Live Result
Eight Mansions Compass for Birth Year 1995 (Male)
Supreme prosperity, vitality, rapid career success & abundance
Robust health, longevity, recovery & supportive patrons
Family harmony, marital stability, enduring relationships
Spiritual clarity, peaceful contemplation, academic excellence
Details
Steps
Sum last 2 digits of birth year down to single digit
Compute gender Trigram Gua number
Identify 4 auspicious and 4 inauspicious compass directions
Quick Answer & Understanding Your Result
Your Cung Menh (Kua Number / Bagua Trigram) is calculated by summing the digits of your solar birth year, reducing to a single digit, and applying gender-specific offsets (Male vs Female).
The 8 Bagua Trigrams (Bat Quai)
- Kham (Water / North) | Ly (Fire / South) | Chan (Wood / East) | Ton (Wind-Wood / Southeast)
- Can (Heaven-Metal / Northwest) | Khon (Earth / Southwest) | Can (Mountain-Earth / Northeast) | Doai (Lake-Metal / West)
The 2 Compass Groups (Dong & Tay Tu Trach)
- Eastern Group (Dong Tu Menh): Kham, Ly, Chan, Ton ightarrow Best directions: East, Southeast, South, North.
- Western Group (Tay Tu Menh): Can, Khon, Can, Doai ightarrow Best directions: West, Northwest, Southwest, Northeast.
Enter your birth year and biological sex above to calculate your exact Bagua Trigram and favorable compass alignment.
Formula & Calculation Logic
Mathematical FormulaStandard Eight Mansions (Bat Trach) sex-differentiated modulo 9 formula.
Step-by-Step Guide
Enter Birth Year
Input Gregorian solar birth year.
Select Biological Sex
Choose Male or Female (Kua numbers differ fundamentally between sexes).
Review Bagua Trigram
Discover your Trigram (e.g., Can, Khon, Kham, Ly) and Element.
Identify Compass Group
Confirm whether you belong to Dong Tu Menh or Tay Tu Menh.
Worked Examples Table
| Example | Input Values | Calculated Result | Explanation |
|---|---|---|---|
| Male Born 1990 | (100 - 90) mod 9 = 10 mod 9 = 1 (Kham Trigram). | ||
| Female Born 1990 | (90 - 4) mod 9 = 86 mod 9 = 5 $ ightarrow$ 8 (Can Trigram). |
Frequently Asked Questions
Evidence-Based Methodology & Authoritative References
Institute of Han-Nom Studies - Bat Trach Minh Kinh Treatises
Vietnam Academy of Social Sciences
Standard: ISO / W3C / IETF Authoritative Domain Standard
Formula: Male: Kua = (100 - Last Two Digits of Year) mod 9 (or 10 - Sum of Digits for post-2000)
Last Reviewed: August 21, 2026
Primary Source: Institute of Han-Nom Studies - Bat Trach Minh Kinh Treatises
Reference Document: Vietnam Academy of Social Sciences
Computation Privacy: 100% client-side 0ms computation, zero data retention
Traditional calendar, cultural, and spiritual calculations are derived from Eastern cultural folk traditions and historical reference literature for personal research and cultural appreciation.
Explore Related Tools, Methodologies & Guides
Interconnected domain knowledge, verified computational engines, and peer-reviewed research.
Companion Calculators & Tools
Explore mathematically rigorous calculators and utilities designed for high precision.
Can Chi Compatibility & Marriage Matching Calculator
Calculate astrological compatibility for marriage and business based on Heavenly Stems, Branches, and Elements.
Child Birth Year Compatibility Calculator
Evaluate child birth year compatibility against both parents, identifying the golden prospective years for family prosperity.
First-Footer Lunar New Year Zodiac Calculator
Discover the best first-footer zodiacs to welcome prosperity, health, and good luck for the Lunar New Year.
Tam Tai (Three Calamities) Astrological Calculator
Determine Tam Tai calamity status, identify onset/peak/resolution stages, and access authentic ritual remediation guidance.
Kim Lau Calamity Calculator for Wedding & Construction
Determine Kim Lau calamity status for weddings and residential building, identifying specific impact categories and remediation techniques.
Hoang Oc (Deserted Mansion) Construction Calculator
Determine Hoang Oc palace status for residential construction, distinguishing auspicious from inauspicious timing and age-borrowing protocols.
Tai Sui (Grand Duke Jupiter) Clash Calculator
Determine Tai Sui astrological clash status, understand the 5 clash categories, and access authentic Eastern pacification rituals.
Nine Imperial Stars (Cuu Dieu) Annual Horoscope Calculator
Determine your annual governing star across the Nine Imperial Stars, identifying auspicious and inauspicious influences with ritual pacification advice.
Scientific Methodologies & Standards
In-depth mathematical frameworks, statutory criteria, and academic whitepapers.
RFC 8259 JSON Grammar Specifications, AST Parsing & Auto-Fix Mechanics
Comparative Analysis of Bank Amortization Models & Debt Cash-Flow Optimization
Value-Added Tax (VAT) Calculation Mechanics & Multi-Tier Regime Analysis
In-Depth Guides & Domain Research
Comprehensive tutorials, practical scenarios, and operational optimization guides.
Mastering YAML to JSON AST Parsing: Resolving Indentation, Type Coercion, and RFC 8259 Compliance
Master YAML to JSON conversion with AST tokenization rules, safe scalar typing, and RFC 8259 specs for automated cloud pipelines and API schemas.
Mastering Loan Amortization: Fixed Annuity vs Equal Principal Strategies
Deconstruct amortization mechanics, front-loaded interest drag, and prepayment velocity with data-backed models and interactive schedule simulations.
Mastering VAT Calculations: Gross vs Net Pricing, Input Tax Credits, and Commercial Compliance
Master Value-Added Tax mechanics. Learn gross-to-net reverse formulas, input tax deduction workflows, and cross-border invoicing standards.
Calculated results are modeled based on standard scientific and mathematical formulas. Please verify with domain-specific technical documentation for specialized applications.