Liuren Magic Sanctuary
River Map & Luo Writing · Personal Number Calculator (個人理數推算)
河洛理數 (Hé Luò Lǐ Shù) — "River-Luo Principle Numbers" — derives a person's cosmic blueprint number (理數 Lǐ Shù) from the 60-cycle GanZhi position of their birth year. The system originates in the two most ancient Chinese cosmological diagrams: the 河圖 He Tu (River Map, carried by a dragon-horse from the Yellow River to Fu Xi) and the 洛書 Luo Shu (Luo Writing, carried by a divine tortoise from the Luo River to Yu the Great). Systematized by Song Dynasty polymath 邵雍 Shao Yong (1011–1077), the Li Shu links each person's birth year to one of the Nine Palaces of the Luo Shu magic square, revealing natal tendencies in wealth, career, relationships, and spiritual development.
"河出圖，洛出書，聖人則之。"
"The River brought forth the Map, the Luo brought forth the Writing — and the sages modeled their systems upon them."
Source: Xi Ci Zhuan 繫辭傳 (Great Commentary on the Yi Jing)
The Luo Shu magic square sums to 15 in every row, column, and diagonal. Each cell corresponds to a Li Shu number, a palace, an element, and a direction. This is the cosmological map underlying Qi Men Dun Jia, Xuan Kong Flying Stars, and the He Luo Li Shu personal number system.
Every row, column, and diagonal sums to 15 · 橫豎斜皆得十五
Each Li Shu number corresponds to one of the Eight Trigram palaces (with 5 occupying the Central Palace). The star names are shared with the Nine Stars system (九星) used across Xuan Kong Flying Stars, Qi Men Dun Jia, and He Luo Li Shu personal numerology.
Element: 水 Water | Direction: North (子) | Trigram: ☵ Kan
Core qualities: Intelligence, adaptability, hidden potential, resourcefulness. Water people flow around obstacles rather than forcing through them.
Life themes: Career development through skill and craft; wealth that accumulates steadily; risk of over-thinking or emotional turbulence when Water is uncontrolled.
Favorable directions: North, Northeast, East (Water nourishes Wood).
Element: 土 Earth | Direction: Southwest (坤) | Trigram: ☷ Kun
Core qualities: Endurance, nurturing, patience, service. Kun carries the receptive energy of the earth — immense capacity to hold and sustain.
Life themes: Obstacles that cultivate strength; authority through perseverance; risk of stubbornness or slow momentum when Earth becomes stagnant.
Favorable directions: Southwest, Northeast, Center.
Element: 木 Wood | Direction: East (震) | Trigram: ☳ Zhen
Core qualities: Initiative, ambition, career drive, leadership. Zhen is thunder — sudden, energetic, breaking through inertia with decisive force.
Life themes: Career advancement through direct action; official recognition and rank; risk of impulsivity or conflict when Wood is unchecked.
Favorable directions: East, Southeast, South (Wood feeds Fire).
Element: 木 Wood | Direction: Southeast (巽) | Trigram: ☴ Xun
Core qualities: Artistic talent, literary excellence, eloquence, strategic intelligence. Xun is wind — pervasive, penetrating, finding the gaps others miss.
Life themes: Achievement through creativity and communication; scholarly success; risk of inconsistency or scattered focus when Wood is excessive.
Favorable directions: Southeast, East, South.
Element: 土 Earth | Direction: Center (中) | Position: Axis of the Luo Shu
Core qualities: Transformation, power, centrality, extremes. The Center Palace governs all — it is the pivot around which the eight directions rotate. Li Shu 5 people carry intense transformative energy.
Life themes: Powerful destiny with sharp turns; capacity for both great success and great upheaval; vitally important to cultivate inner balance.
Favorable directions: Northeast, Southwest, Center.
Element: 金 Metal | Direction: Northwest (乾) | Trigram: ☰ Qian
Core qualities: Authority, leadership, strategic command, financial acumen. Qian is Heaven — the principle of origination, dignity, and celestial order.
Life themes: Natural leadership and command authority; wealth through decisive action; risk of rigidity or domineering when Metal is excessive.
Favorable directions: Northwest, West, North (Metal generates Water).
Element: 金 Metal | Direction: West (兌) | Trigram: ☱ Dui
Core qualities: Change, breaking through, reinvention, charisma, speech. Dui is the marsh — joyful on the surface, deep and still underneath.
Life themes: Life shaped by dramatic shifts and reinvention; strong communicative gifts; risk of conflict and loss through reckless change.
Favorable directions: West, Northwest, North.
Element: 土 Earth | Direction: Northeast (艮) | Trigram: ☶ Gen
Core qualities: Stability, steadfast support, reliability, practical wisdom. Gen is the mountain — immovable, grounding, enduring through all seasons.
Life themes: Strength found in supporting others and building foundations; wealth through real estate or tangible assets; risk of inflexibility.
Favorable directions: Northeast, Southwest, Center.
Element: 火 Fire | Direction: South (離) | Trigram: ☲ Li
Core qualities: Intelligence, brilliance, visibility, fame, clarity. Li is fire — luminous and outward-radiating, illuminating all it touches.
Life themes: Achievement through visibility and intelligence; renown in one's field; strong intuition; risk of burning out or dispersing energy recklessly.
Favorable directions: South, East, Southeast (Wood feeds Fire).
The He Tu (River Map) pairs each of the five elements with two numbers: a generation number (生數 shēng shù, 1–5) and a completion number (成數 chéng shù, 6–10). Water generates at 1 and completes at 6; Fire at 2 and 7; Wood at 3 and 8; Metal at 4 and 9; Earth at 5 and 10. This pairing of Heaven numbers (odd) with Earth numbers (even) encodes the Yin-Yang dynamic directly into arithmetic. The He Tu is the source of the 10 Heavenly Stems and the mathematical root of the Yi Jing divination procedure.
The Luo Shu presents the numbers 1 through 9 in a 3×3 grid where every row, column, and diagonal sums to 15 — the "magic constant." This is not a mathematical curiosity but a cosmological statement: the nine sectors of space are in perfect dynamic equilibrium. The Luo Shu arranges the five elements across the nine palaces such that controlling (克) and generating (生) cycles weave through the grid, preventing any element from dominating permanently. Time itself flows through this grid in the He Luo Li Shu system — as years cycle through the 60-cycle GanZhi, each year's stem number maps a person into one of these nine equilibrium points.
The 60-cycle GanZhi (干支) combines 10 Heavenly Stems (天干) with 12 Earthly Branches (地支), producing 60 unique year-types before the cycle repeats. In He Luo Li Shu, the GanZhi position within the 60-cycle determines whether a year is Yang (odd position) or Yin (even position). This polarity determines which of two formulas is applied to derive the Li Shu: Yang years subtract the stem number from 11 (then mod 9), while Yin years add 5 to the stem number (then mod 9). The result is always a number 1 through 9 — one of the nine Luo Shu palaces.
The nine palace stars — 貪狼 Tan Lang, 巨門 Ju Men, 祿存 Lu Cun, 文曲 Wen Qu, 廉貞 Lian Zhen, 武曲 Wu Qu, 破軍 Po Jun, 左輔 Zuo Fu, 右弼 You Bi — appear across multiple Five Arts systems. In Xuan Kong Flying Stars (玄空飛星) they mark the time-quality of each palace in a building. In Qi Men Dun Jia (奇門遁甲) they are integrated into the nine-palace time-space grid. In He Luo Li Shu they become the natal star of a person — the permanent celestial influence imprinted by the year of birth. Understanding which star rules your natal palace reveals natural aptitudes, favorable environments, and the type of energy that supports your growth.
Song Dynasty polymath Shao Yong (邵雍, 1011–1077), styled Kang Jie (康節), synthesized earlier Daoist transmissions from Chen Tuan (陳摶) of Mount Hua into the comprehensive numerological framework documented in his Huang Ji Jing Shi 皇極經世 (Supreme Principles Governing the World). By mapping the He Tu generation-completion pairs onto the Luo Shu palace grid and encoding the 60-cycle GanZhi as the temporal engine, Shao Yong created a system capable of reading cosmic pattern from birth data alone — an elegant compression of Heaven, Earth, and Human into nine numbers.