The Root Numbers of All Five Arts
河洛理数 (Hé Luò Lǐ Shù) — "River-Luo Principle Numbers" — is the numerological system built upon the two most ancient diagrams in Chinese civilization: the 河图 (Hé Tú / River Map) and the 洛书 (Luò Shū / Luo Writing) . Every branch of the Five Arts (五術 Wǔ Shù) traces its numerical logic back to these two primordial arrangements.
The Xi Ci Zhuan 系辞传 (Great Commentary on the Book of Changes) states:
河出图,洛出书,圣人则之。
"The River brought forth the Map, the Luo brought forth the Writing, and the sages modeled their systems upon them."
This single sentence is the scriptural foundation of the entire He Luo tradition. The He Tu is the mathematical source of the Yi Jing's divination procedure. The Luo Shu is the board upon which Qi Men Dun Jia, Xuan Kong Flying Stars, and Tai Yi Shen Shu are played. Together they are the substrate of Chinese cosmological mathematics .
Historical Origins (历史渊源)
The Transmission Lineage
While the He Tu and Luo Shu are attributed to mythological sage-kings (Fu Xi and Yu the Great), their systematic form was preserved and transmitted through a chain of Daoist hermits to the Song Dynasty polymath Shao Yong:
Transmission Chain (传承)
陈抟 Chén Tuán (c.871–989)
↓
种放 Zhǒng Fàng
↓
穆修 Mù Xiū
↓
李之才 Lǐ Zhīcái
↓
邵雍 Shào Yōng (1011–1077) — Systematizer of He Luo Li Shu
Chen Tuan (陈抟 Chén Tuán, c.871–989)
Chen Tuan, styled Xi Yi 希夷 (Xī Yí), was a Daoist hermit of Mount Hua 华山 (Huà Shān) during the late Tang and early Song dynasties. He is credited with settling the long-standing debate over which diagram was the He Tu and which the Luo Shu, transmitting the correct forms from an oral lineage preserved among Daoist hermits since antiquity. He is also credited with the Wu Ji Tu 无极图 (Diagram of the Limitless), which influenced Zhou Dunyi's 周敦颐 famous Tai Ji Tu Shuo 太极图说.
Shao Yong (邵雍 Shào Yōng, 1011–1077)
Shao Yong, posthumously honored as Kang Jie 康节 (Kāng Jié), was the Song Dynasty polymath who systematized He Luo number theory into the comprehensive cosmological and divinatory framework still in use today. His two great works:
- 皇极经世 Huáng Jí Jīng Shì (Supreme Principles Governing the World) — a grand cosmic calendar mapping all of history into mathematical cycles, deriving from He Luo numbers
- 梅花易数 Méi Huā Yì Shù (Plum Blossom Numerology, attributed) — rapid divination using spontaneous numbers converted to hexagrams via He Luo derivation
The Term "He Luo Li Shu" (河洛理数)
| Character | Meaning |
|---|
| 河 Hé | Yellow River — source of the He Tu |
| 洛 Luò | Luo River — source of the Luo Shu |
| 理 Lǐ | Principle / Pattern / Reason |
| 数 Shù | Numbers / Numerology |
The system uses the principles (理 Lǐ) embedded within the He Tu and Luo Shu numbers (数 Shù) to derive personal hexagrams from birth data, then reads the hexagram lines as a chronological map of life unfolding through time.
The He Tu — River Map (河图)
The Dragon Horse Legend
According to tradition, during the reign of sage-king Fu Xi 伏羲 (Fú Xī), a Dragon Horse 龙马 (Lóng Mǎ) — a supernatural creature with the body of a horse and the scales of a dragon — emerged from the Yellow River 黄河 (Huáng Hé). Upon its back was a pattern of dots in a specific numerical configuration. Fu Xi observed this pattern and derived the Eight Trigrams 八卦 (Bā Guà) from it, establishing the Earlier Heaven 先天 (Xiān Tiān) arrangement.
Number Arrangement
The He Tu arranges numbers 1 through 10 in a cross pattern aligned with the cardinal directions, pairing each generation number 生数 (Shēng Shù) with its completion number 成数 (Chéng Shù):
He Tu Directional Diagram
South 南
2 · 7
(Fire 火)
East 东 West 西
3 · 8 4 · 9
(Wood 木) (Metal 金)
Center 中
5 · 10
(Earth 土)
North 北
1 · 6
(Water 水)○ = white/yang dots · ● = black/yin dots (classical dot notation)
| Direction | Generation # 生数 | Completion # 成数 | Element |
|---|
| North 北 | 1 (Yang ○) | 6 (Yin ●) | 水 Water |
| South 南 | 2 (Yin ●) | 7 (Yang ○) | 火 Fire |
| East 东 | 3 (Yang ○) | 8 (Yin ●) | 木 Wood |
| West 西 | 4 (Yin ●) | 9 (Yang ○) | 金 Metal |
| Center 中 | 5 (Yang ○) | 10 (Yin ●) | 土 Earth |
Generation and Completion Numbers (生成数)
The He Tu embodies the principle that creation requires two phases:
- Generation 生 (Shēng): Numbers 1–5 — Heaven's creative impulse, the initial potential
- Completion 成 (Chéng): Numbers 6–10 — Earth's response; materialization of potential into form
- Formula: Completion Number = Generation Number + 5
The Five Generative Verses (生成数歌诀)
天一生水,地六成之
"Heaven One generates Water; Earth Six completes it."
地二生火,天七成之
"Earth Two generates Fire; Heaven Seven completes it."
天三生木,地八成之
"Heaven Three generates Wood; Earth Eight completes it."
地四生金,天九成之
"Earth Four generates Metal; Heaven Nine completes it."
天五生土,地十成之
"Heaven Five generates Earth; Earth Ten completes it."
The Grand Expansion Number (大衍之数)
Odd (Yang/Heaven) numbers: 1 + 3 + 5 + 7 + 9 = 25
Even (Yin/Earth) numbers: 2 + 4 + 6 + 8 + 10 = 30
Grand Total: 25 + 30 = 55 — the 大衍之数 (Dà Yǎn Zhī Shù / Grand Expansion Number)
This is the same "55" referenced in the Xi Ci Zhuan as the number used in yarrow-stalk Yi Jing divination. The He Tu is therefore the mathematical source of the Yi Jing's divination procedure itself.
He Tu as Earlier Heaven Pattern (先天 Xiān Tiān)
The He Tu corresponds to the Earlier Heaven 先天 (Xiān Tiān) state — the pre-manifest, the blueprint of creation before actualization:
| He Tu / Xian Tian | Represents |
|---|
| 体 Tǐ (Body) before function | The structure before movement |
| 先天 Xiān Tiān (Innate) | Constitution before environmental influence |
| 天命 Tiān Mìng | Heavenly mandate — the "heavenly" dimension of destiny |
The Luo Shu — Luo Writing (洛书)
The Divine Turtle Legend
During the reign of sage-king Yu 禹 (Yǔ), the Great Yu who tamed the floods, a Divine Turtle 神龟 (Shén Guī) emerged from the Luo River 洛水 (Luò Shuǐ) bearing a pattern of dots upon its shell. Yu modeled the Nine Divisions 洪范九畴 (Hóng Fàn Jiǔ Chóu / Great Plan's Nine Categories) of governance upon this pattern. The turtle was sacred in ancient China — oracle bone divination 用甲骨 used turtle plastrons. The Luo Shu on a turtle's back thus links numerological structure to the entire mantic tradition.
The 3×3 Magic Square
Luo Shu Magic Square
┌───┬───┬───┐
│ 4 │ 9 │ 2 │ ← South 南
├───┼───┼───┤
│ 3 │ 5 │ 7 │ ← Center
├───┼───┼───┤
│ 8 │ 1 │ 6 │ ← North 北
└───┴───┴───┘
↑ ↑
East 东 West 西Every row, column, and diagonal sums to 15.
Sum of all numbers: 1+2+…+9 = 45
Mathematical Properties
- Every row, column, diagonal: sums to 15
- Odd numbers (Yang) occupy cardinal positions: 1, 3, 5, 7, 9
- Even numbers (Yin) occupy diagonal positions: 2, 4, 6, 8
- Opposite pairs sum to 10: (1,9), (2,8), (3,7), (4,6)
- 15 = days from New Moon to Full Moon (lunar rhythm)
Classical Mnemonic (口诀)
戴九履一,左三右七,二四为肩,六八为足,五居中央。
"Wearing Nine on the head, treading on One; Three on the left, Seven on the right; Two and Four are the shoulders; Six and Eight are the feet; Five dwells in the center."
Nine Palaces and Later Heaven Ba Gua (九宫后天八卦)
The Luo Shu corresponds to the Later Heaven 后天 (Hòu Tiān) state — the manifest, the actual unfolding of creation in time and space. The Later Heaven Ba Gua arrangement (attributed to King Wen 文王) maps directly onto the Nine Palaces:
| Palace 宫 | Luo Shu # | Trigram 卦 | Symbol | Direction | Element |
|---|
| Kan 坎 | 1 | 坎 | ☵ | North 北 | 水 Water |
| Kun 坤 | 2 | 坤 | ☷ | Southwest 西南 | 土 Earth |
| Zhen 震 | 3 | 震 | ☳ | East 东 | 木 Wood |
| Xun 巽 | 4 | 巽 | ☴ | Southeast 东南 | 木 Wood |
| Center 中 | 5 | — | — | Center 中 | 土 Earth |
| Qian 乾 | 6 | 乾 | ☰ | Northwest 西北 | 金 Metal |
| Dui 兑 | 7 | 兑 | ☱ | West 西 | 金 Metal |
| Gen 艮 | 8 | 艮 | ☶ | Northeast 东北 | 土 Earth |
| Li 离 | 9 | 离 | ☲ | South 南 | 火 Fire |
The Luo Shu Flight Path (飞布路线)
The sequence 1→2→3→4→5→6→7→8→9 is the universal movement pattern across all Luo Shu-based systems:
- Qi Men Dun Jia: The Nine Stems "fly" through the Nine Palaces following this path (forward flight 顺飞 or reverse 逆飞)
- Xuan Kong Flying Stars: Annual and monthly stars shift through the palaces following this sequence, creating the Flying Star chart
- Tai Yi Shen Shu: Uses the Nine Palaces for cosmic-scale divination of nations and dynasties
He Luo Li Shu Divination Method (河洛理数起卦法)
He Luo Li Shu converts a person's birth data into a personal hexagram 本命卦 (Běn Mìng Guà / Life Hexagram) using He Tu and Luo Shu number transformations. This hexagram is read line by line as a chronological map of the person's life, each line corresponding to a specific age range.
Unlike BaZi, which focuses on Stem-Branch elemental dynamics, He Luo Li Shu derives meaning from pure number and hexagram imagery — making it a distinct methodology within the Destiny (命 Mìng) branch of the Five Arts. Its practitioners consider it more precise than standard BaZi for timing life events.
Step 1: Number Tables
Each Heavenly Stem is assigned a He Tu number; each Earthly Branch is assigned a Luo Shu number:
Heavenly Stems — He Tu Numbers
| Stem | Element/Polarity | He Tu # |
|---|
| 甲 Jiǎ | Wood Yang | 9 |
| 乙 Yǐ | Wood Yin | 8 |
| 丙 Bǐng | Fire Yang | 7 |
| 丁 Dīng | Fire Yin | 6 |
| 戊 Wù | Earth Yang | 5 |
| 己 Jǐ | Earth Yin | 10 |
| 庚 Gēng | Metal Yang | 9 |
| 辛 Xīn | Metal Yin | 8 |
| 壬 Rén | Water Yang | 7 |
| 癸 Guǐ | Water Yin | 6 |
Earthly Branches — Luo Shu Numbers
| Branch | Animal | Luo Shu # |
|---|
| 子 Zǐ | Rat | 1 |
| 丑 Chǒu | Ox | 8 |
| 寅 Yín | Tiger | 3 |
| 卯 Mǎo | Rabbit | 4 |
| 辰 Chén | Dragon | 4 |
| 巳 Sì | Snake | 9 |
| 午 Wǔ | Horse | 9 |
| 未 Wèi | Goat | 2 |
| 申 Shēn | Monkey | 7 |
| 酉 Yǒu | Rooster | 6 |
| 戌 Xū | Dog | 6 |
| 亥 Hài | Pig | 1 |
Steps 2–4: Deriving the Life Hexagram (本命卦)
Calculation Process
- Year Pillar Sum: He Tu number of Year Stem + Luo Shu number of Year Branch
- Month Pillar Sum: He Tu number of Month Stem + Luo Shu number of Month Branch
- Upper Trigram 上卦: (Year Sum + Month Sum) mod 8 → map to Xian Tian Ba Gua sequence (0 → 8)
- Day Pillar Sum + Hour Pillar Sum → Lower Trigram 下卦 by same mod 8 process
- Moving Line 动爻: (Upper total + Lower total) mod 6 → which of the six lines is the critical period (0 → 6)
Earlier Heaven Ba Gua Sequence: 乾=1, 兑=2, 离=3, 震=4, 巽=5, 坎=6, 艮=7, 坤=8
Two Levels of Hexagram Reading
| Hexagram Type | Chinese | Derived From | Represents |
|---|
| Earlier Heaven Hexagram | 先天卦 Xiān Tiān Guà | He Tu numbers | Innate constitution, inherent talents, the "heavenly" dimension — what the person is |
| Later Heaven Hexagram | 后天卦 Hòu Tiān Guà | Luo Shu transformation | How the innate constitution manifests through life events — career, relationships, health, wealth — what the person experiences |
Life Stage Analysis (六爻对应人生阶段)
Each of the six hexagram lines corresponds to a life stage. The moving line 动爻 (Dòng Yáo) marks the life stage of greatest change, crisis, or opportunity:
| Line 爻 | Position | Life Stage | Age Range |
|---|
| 初爻 Chū Yáo | Line 1 (bottom) | Youth 少年 | 1–15 |
| 二爻 Èr Yáo | Line 2 | Young Adult 青年 | 16–30 |
| 三爻 Sān Yáo | Line 3 | Early Prime 壮年初 | 31–45 |
| 四爻 Sì Yáo | Line 4 | Late Prime 壮年末 | 46–60 |
| 五爻 Wǔ Yáo | Line 5 | Maturity 中年 | 61–75 |
| 上爻 Shàng Yáo | Line 6 (top) | Elder Years 老年 | 76–90 |
When the moving line changes, the hexagram transforms into a changed hexagram 变卦 (Biàn Guà), revealing the outcome of that critical life transition. This changed hexagram is the resolution of the life's most intense period.
Integration with Tie Ban Shen Shu (铁板神数)
He Luo Li Shu and Tie Ban Shen Shu 铁板神数 share the same mathematical DNA — both trace their number theory to Shao Yong's system:
| System | Function | Precision |
|---|
| He Luo Li Shu | Macro framework: Life Hexagram + line-by-line life stages | The why — energetic pattern and structural dynamics |
| Tie Ban Shen Shu | Micro precision: 12,000+ specific clause texts (条文 Tiáo Wén) | The what and when — exact ages and event types |
The He Luo Li Shu derivation narrows down which Tie Ban clauses apply to a specific person. Together, practitioners consider them the most precise destiny-reading system in the Chinese tradition.
Shao Yong's Cosmic Calendar (皇极经世)
Shao Yong's Huang Ji Jing Shi 皇极经世 (Supreme Principles Governing the World) applies He Luo number theory to the entire sweep of cosmic time, creating a mathematical calendar that maps the rise and fall of civilizations. It is one of the most ambitious intellectual constructions in Chinese intellectual history.
The Four Time Divisions
The system uses four nested units of time, each derived from He Luo number relationships:
| Unit | Chinese | Duration | Structure |
|---|
| Yuan 元 | 元 | 129,600 years | = 12 Hui = 360 Yun = 4,320 Shi |
| Hui 会 | 会 | 10,800 years | = 30 Yun per Hui; 12 Hui per Yuan |
| Yun 运 | 运 | 360 years | = 12 Shi per Yun; 30 Yun per Hui |
| Shi 世 | 世 | 30 years | = 30 years (one human generation) |
The Grand Total: 1 Yuan = 12 × 30 × 12 × 30 = 129,600 years = 360 × 360 (the square of the annual cycle — the He Luo number 360 embedded in cosmic time).
The 12 Hui and the Civilizational Cycle
Each of the 12 Hui corresponds to one Earthly Branch and represents a phase in the cosmic cycle of civilization:
| Hui # | Branch | Phase | Description |
|---|
| 1 | 子 Zǐ | 开天 Kāi Tiān | Heaven opens; primordial yang emerges |
| 2 | 丑 Chǒu | 辟地 Pì Dì | Earth forms; yin solidifies |
| 3 | 寅 Yín | 生人 Shēng Rén | Humans appear |
| 4–6 | 卯–巳 | 兴→长→盛 | Civilization rises, grows, peaks — the yang ascent |
| 7 | 午 Wǔ | 极/衰 Jí/Shuāi | Maximum yang; decline begins. Current era. |
| 8–10 | 未–酉 | 退→败→坏 | Gradual decay, breakdown, collapse |
| 11–12 | 戌–亥 | 闭→藏 | Earth closes; return to primordial chaos; cycle resets |
Shao Yong's Diagnostic Principle
"治世之音安以乐,乱世之音怨以怒。"
"The music of an ordered age is peaceful and joyful; the music of a chaotic age is resentful and angry."
Shao Yong used cultural indicators — poetry, music, governance style — as confirmations of where a dynasty sat within the Yun-Shi cycle. The exuberant poetry of Li Bai 李白 and Du Fu 杜甫 came precisely at the Tang Dynasty's yang peak; the melancholic late-Tang poetry of Li Shangyin 李商隐 confirmed the descent into the yin phase.
Applications Across the Five Arts (五术应用)
Feng Shui — He Tu Combinations (河图合)
In Xuan Kong 玄空 (Xuán Kōng) Feng Shui, the He Tu number pairs define the fundamental directional-elemental relationships. He Tu combinations are considered superior to the standard Five Element productive cycle combinations because they represent the original generative impulse:
| He Tu Pair | Element | Auspicious Meaning in Flying Stars |
|---|
| 1 – 6 | Water 水 | Scholarly success, career advancement, wisdom flowing toward the site |
| 2 – 7 | Fire 火 | In Period 8+: creative energy; context-dependent — check Period compatibility |
| 3 – 8 | Wood 木 | Growth, development, new beginnings — excellent for expansion |
| 4 – 9 | Metal 金 | Literary fame, intelligence, leadership authority — most sought-after combination |
| 5 – 10 / 5 alone | Earth 土 | Neutral center pivot; Five Yellow (五黄 Wǔ Huáng) when afflicted — major disruptions |
Qi Men Dun Jia — Luo Shu Nine Palaces
The Luo Shu provides three essential elements to Qi Men Dun Jia:
- The Nine Palaces Board 九宫格: The game board upon which all Qi Men Stems, Doors, Stars, and Deities are arranged
- The Flight Path 飞布路线: The sequence 1→2→3→4→5→6→7→8→9 governs how all elements move through the palaces (forward flight 顺飞 Shùn Fēi for Yang charts; reverse 逆飞 Nì Fēi for Yin charts)
- Palace-Element Relationships: Each palace inherits the Luo Shu number's elemental nature, determining how it interacts with Stars, Doors, and Deities placed upon it
Na Yin — He Luo Mathematical Basis
The Na Yin 纳音 system (which assigns a Five Element nature to each Stem-Branch pair) has its mathematical basis in He Luo number theory. This is why Na Yin elements often appear counterintuitive compared to standard Stem/Branch elements — they arise from a different mathematical layer of the same system.
Example: 甲子 (Jiǎ Zǐ) and 乙丑 (Yǐ Chǒu) have Na Yin element 海中金 (Gold in the Sea) — Metal — even though 甲 is Wood and 子 is Water in the standard system. The He Luo computation produces this "hidden Metal" from the combination of their He Tu and Luo Shu numbers. See the Na Yin Reference for the full derivation.
Mei Hua Yi Shu — Direct He Luo Application
Mei Hua Yi Shu 梅花易数, attributed to Shao Yong, is the most direct application of He Luo number theory to spontaneous divination:
- Any observed number → trigram via Earlier Heaven Ba Gua sequence (乾=1, 兑=2, 离=3, 震=4, 巽=5, 坎=6, 艮=7, 坤=8)
- Two numbers yield upper + lower trigrams → a hexagram
- Total sum mod 6 → the moving line
- Ti-Yong 体用 (Body-Function) analysis: the trigram without the moving line is Ti (body/subject); the trigram with it is Yong (function/object)
- Five Element relationship between Ti and Yong determines the outcome
This entire procedure is a direct simplification of He Luo Li Shu for rapid field divination — Shao Yong's genius was making his cosmic number theory instantly accessible in a portable form.
Case Studies (河洛案例)
Case 1: Career Peak Predicted by Life Hexagram
Subject: Male, born 1965-03-15, Hour of Shen 申 (15:00–17:00)
Four Pillars: 乙巳年 / 己卯月 / 丙寅日 / 丙申时
Computation:
Year (乙=8, 巳=9) → 17 | Month (己=10, 卯=4) → 14 | Day (丙=7, 寅=3) → 10 | Hour (丙=7, 申=7) → 14
Upper Trigram: (17+14) = 31 mod 8 = 7 → 艮 Gen ☶ (Mountain)
Lower Trigram: (10+14) = 24 mod 8 = 0 → 8 → 坤 Kun ☷ (Earth)
Hexagram: Mountain over Earth = 剥 Bō (Splitting Apart) ䷖ Hexagram 23
Moving Line: (31+24) = 55 mod 6 = 1 → Line 1 (Youth)
Reading: 剥 (Bō) shows five yin lines eroding the lone yang line at the top — gradual decay. Moving line at Line 1 transforms the hexagram to 复 Fù (Return) — the yang returns from below, signifying early hardship transforming into strength. Line 4 (age 46–60) is the "minister position" — success achieved through yielding and adaptability rather than direct force.
Outcome: Career stagnation until age 38, then rapid promotion through organizational restructurings (the "splitting apart" creating space for new leadership). Reached senior executive position at age 52 — precisely within the Line 4 window.
Case 2: Shao Yong's Plum Blossom Prediction (观梅占 Guān Méi Zhān)
Incident: Winter 1059 CE — Shao Yong observes two sparrows fighting over a plum blossom branch; one falls to the ground. He immediately casts a divination.
Numbers: Date: 辰年 十二月 十七日 申时
Upper: (5+12+17) = 34 mod 8 = 2 → 兑 Dui ☱ (Lake)
Lower: (5+12+17+9) = 43 mod 8 = 3 → 离 Li ☲ (Fire)
Hexagram: Lake over Fire = 革 Gé (Revolution) ䷰ Hexagram 49
Moving Line: 43 mod 6 = 1 → Line 1
Analysis: Ti (Body) = Li ☲ Fire. Yong (Function) = Dui ☱ Metal. Fire controls Metal → a disruptive event involving cutting or metal. Line 1 at the bottom = injury to the lower body.
Prediction: "Tomorrow evening, a girl will come to pick plum blossoms, be startled by the gardener, fall, and injure her leg."
Outcome: Exactly as predicted — a neighbor's daughter entered, the gardener shouted, she fell and injured her thigh. This incident became the founding legend of Plum Blossom divination and demonstrates the direct application of He Luo number theory to spontaneous event prediction.
Source: Recorded in the 梅花易数 (Mei Hua Yi Shu) preface, classical edition.
Case 3: He Tu Combinations in a Commercial Feng Shui Site
Site: Commercial building facing South, built in Period 8 (2004–2023)
He Tu Combination Analysis:
- South Palace: Mountain Star 1 + Facing Star 6 → 1-6 He Tu Water combination — extremely auspicious for wealth generation; Water represents wealth flowing toward the building
- East Palace: Mountain Star 3 + Facing Star 8 → 3-8 He Tu Wood combination — growth energy; ideal for R&D or new ventures
- Northwest Palace: Mountain Star 4 + Facing Star 9 → 4-9 He Tu Metal combination — powerful backing from authority figures; ideal for executive areas
Application: Main entrance positioned to capture 1-6 combination. East wing designated for R&D. Executive boardroom in northwest for leadership authority.
Outcome: Steady revenue growth of 15–20% annually for the first decade; R&D division produced two breakthrough products from the east wing offices.
Case 4: He Luo vs. Tie Ban — A Comparative Reading
Subject: Female, born 1978-09-22, Hour of Hai 亥 (21:00–23:00)
Four Pillars: 戊午年 / 辛酉月 / 庚子日 / 丁亥时
Year (戊=5, 午=9) → 14 | Month (辛=8, 酉=6) → 14 | Day (庚=9, 子=1) → 10 | Hour (丁=6, 亥=1) → 7
Upper: (14+14) = 28 mod 8 = 4 → 震 Zhen ☳ (Thunder)
Lower: (10+7) = 17 mod 8 = 1 → 乾 Qian ☰ (Heaven)
Hexagram: Thunder over Heaven = 大壮 Dà Zhuàng (Great Strength) ䷡ Hexagram 34
Moving Line: (28+17) = 45 mod 6 = 3 → Line 3 (age 31–45)
He Luo Reading: 大壮 — four yang lines surging upward. A woman of extraordinary drive. Moving Line 3 = "ram butting the hedge" 羝羊触藩 — great power entangled in obstacles during the 30s. Changed hexagram = 泰 Tài (Peace): the 40s bring harmonious balance.
Tie Ban Shen Shu clauses: #4,872 "Late marriage; good match comes after thirty." | #7,215 "At thirty-five, joy of promotion, but guard against disputes." | #9,481 "After forty-two, family fortune increases, harmony restored."
Outcome: Married at 32; major promotion at 35 (with political conflict); stable and harmonious by 43. Both systems aligned within 1–2 years of actual events. He Luo revealed the why (energetic pattern); Tie Ban revealed the what and when .
Case 5: Annual Flying Star Analysis Using Luo Shu (2024)
Context: Annual Star 3 (三碧 / Three Jade) entering the Center Palace in 2024, creating a specific Luo Shu shift:
| Annual Star in Center | Market/Energy Tendency |
|---|
| Star 1 (Water) | Liquidity events; easy money, loose policy |
| Star 5 (Earth) | Crisis years — Five Yellow disruptions |
| Star 7 (Metal) | Sharp corrections; cutting excess |
| Star 9 (Fire) | Speculative frenzies; tech/crypto surges |
Key observation (2024): West Palace (original Luo Shu 7) hosts Annual Star 5 → the dangerous 7-5 combination. Five Yellow Earth occupies the West (Dui/mouth position) → oral disputes, legal complaints, and financial losses through arguments. Remediation: Metal wind chime or six metal coins in the West sector (Metal drains Earth via production cycle).
Case 6: Tang Dynasty Mapped to Yun-Shi Cycles (Huang Ji Jing Shi)
Using Shao Yong's Grand Cycle analysis, the Tang Dynasty (618–907 CE) maps to a specific sequence:
- Founding (618 CE): Corresponds to a Yun transition — old Sui 隋 energy exhausted; new yang energy emerging. Consistent with He Tu Generation Number pattern.
- Zhenguan Reign (627–649): First 30-year Shi of the new Yun — the "spring" phase of ascending yang. The golden age.
- An Lushan Rebellion (755 CE): Midpoint Shi — "summer to autumn" transition; yang peaks and declines. The civilization's turning point.
- Collapse (907 CE): Closing Shi of the Yun — "winter" phase; the dynasty's cosmic allotment spent.
The exuberant poetry of Li Bai 李白 confirmed the yang peak; Li Shangyin's melancholic late-Tang verse confirmed the yin descent — cultural indicators validating the numerical framework.
Synthesis — The Root of All Systems
He Luo Li Shu occupies a unique position in Chinese metaphysics: it is simultaneously a foundational theory (the He Tu and Luo Shu underlie all Five Arts) and a complete divination system (the Ben Ming Gua hexagram and Huang Ji Jing Shi cosmic calendar). Every practitioner who studies Chinese metaphysics is, knowingly or not, working with He Luo numbers every time they:
- Calculate a Na Yin element from a Stem-Branch pair
- Place Stars on a Qi Men Dun Jia Nine Palaces board
- Read a Flying Stars chart using the 1-9 flight path
- Derive a Mei Hua hexagram from an observed number
- Calculate a Tie Ban Shen Shu clause number
- Map an annual Flying Star for Feng Shui advice
Classical Source
Classical Quote: "河出图,洛出书,圣人则之。"
"The River brought forth the Map, the Luo brought forth the Writing, and the sages modeled their systems upon them."
Source: Xi Ci Zhuan 系辞传 (Great Commentary on the Book of Changes), attributed to Confucius as the foundational commentary on the Yi Jing — establishing He Tu and Luo Shu as the mathematical origin of the entire Chinese metaphysical tradition.