News
The "Mystic Tablet". According to Carus' explanation, it contains, on the shield of a tortoise (alluding to the animal that has revealed the Eight Trigrams to Fu Xi, and which was, in more canonical accounts, a "dragon h

Luoshu Square

In its own language: 洛書

from Luo River Book

An ancient Chinese three-by-three magic square linked to geomancy and numerology

Historical

Photo: An unknown Tibetan artist, Public domain, via Wikimedia Commons

The Luoshu is a unique three-by-three magic square from ancient China, named after the Luo River. It appears in myths about writing and serves as a foundational diagram for Feng Shui and Chinese philosophy.

Share on WhatsApp

  • A unique normal magic square of order three
  • Sums of rows, columns, and diagonals equal fifteen
  • Linked to a turtle emerging from the Luo River
  • Used in Feng Shui and Chinese numerology
  • Applied to city planning and temple design

What it is

The Luoshu is an ancient Chinese diagram known as a magic square of order three. It consists of nine dots arranged in a grid where every row, column, and diagonal adds up to fifteen. The pattern is traditionally said to have appeared on the shell of a magical turtle rising from the Luo River. It functions as a core emblem in Feng Shui and Chinese numerology, often paired with the Yellow River Map to structure space and time.

Where it comes from

Legend attributes the discovery to the prehistoric Emperor Yu during a great flood. People sacrificed to the river god to calm his anger, causing a turtle to emerge bearing the pattern. Myths also link the diagram to Cangjie, the culture hero credited with inventing Chinese writing. Early records from 650 BCE mention a river map, but explicit examples of the square appear by 80 CE.

How it is done

The layout places odd numbers at the center forming a cross and even numbers at the corners. The number five sits in the middle cell. Opposite cells through the center always sum to ten. Practitioners arrange the eight trigrams around the outer cells to create a mandalic representation used in geomantic analysis.

Tools and materials

The primary tool is the arrangement of integers one through nine. These correspond to the Bagua trigrams representing natural elements like water and fire. The diagram serves as a model for city planning, tomb design, and temple architecture, designating spaces of political and religious importance.

Luoshu Square, drawn and placed

Emblem With the circle shape. Drawn from this page, not a photograph.
  1. Living
  2. Revived
  3. Fading
  4. Historical
  5. Legendary
  6. Performed
Standing: Historical Documented in the past; no continuous living tradition today. This says whether people still do it, not whether it works.
A ritual circle: a marked space set apart for a rite, with its edge and a sign at the centre. Found in ceremonial, folk and neopagan practice.
Lineage
Hetu and Luoshu
Where it sits The tradition it belongs to, and when it is done.

What it is for

It is used to understand the flow of qi or natural energy within a landscape. Scholars note it served as a basis for organizing time and space in early natural science and philosophy. It helps practitioners align human structures with cosmic patterns.

Who does it

Scholars of Chinese history and religion study the text. Historians trace its use in urban design and religious sites. The knowledge is preserved in mathematical and divination traditions, including the I Ching.

Peoples and places

The tradition originates in China and is associated with the Han Chinese cultural sphere. It appears in Japanese contexts under the name Nakseo. The diagram reflects specific Chinese cosmological views, such as placing north at the bottom of maps.

At a glance: who, where and when

Peoples

What people believe

The system relies on associative magic where numbers represent natural forces. The Later Heaven arrangement links specific numbers to elemental trigrams. This framework suggests that spatial arrangements influence the quality of energy in a location.

When it is done

No specific festivals are tied to the diagram. It is applied whenever geomantic analysis is required for construction or ritual alignment.

How scholars and sceptics see it

Researchers view the Luoshu as a model for time and space in ancient Chinese thought. Publications highlight its role in mathematics and early science. It is analyzed alongside other divination systems like the I Ching.

Compare and confuse

It is frequently paired with the Hetu or Yellow River Map. Both diagrams form part of the same legacy of ancient Chinese mathematical and divination traditions.

Questions people ask about Luoshu Square

What is the Luoshu Square?

It is an ancient Chinese three-by-three magic square. The numbers one through nine are arranged so that every line sums to fifteen. It is named after the Luo River.

Where does the Luoshu come from?

It comes from ancient China. Legend says it appeared on a turtle shell during a flood. It is linked to the invention of writing and Emperor Yu.

How is it used today?

It is used in Feng Shui and numerology. Practitioners use it to analyze the flow of qi and plan buildings or tombs based on cosmic patterns.

Good reading and sources

Where this page comes from

The facts on this page come from the Wikipedia article "Luoshu Square", written by its contributors and used under the CC BY-SA 4.0 licence, and from its Wikidata record (CC0). EveryJaadu rewrote the text in its own words, with AI assistance, and compares every page with the article to make sure no passage is copied. It may be reused under the same CC BY-SA 4.0 licence with a link back.

It may contain mistakes. Names and customs differ from one community to the next, and some knowledge is closed to outsiders and left out here. This page describes belief and practice. It does not say that any of it works, it is not a how-to, and it is not medical advice. If something is wrong, tell us. Last refreshed 2026-10-05.

Photo credits on this page

The small pictures above come from Wikimedia Commons under free licences. Some are cropped to fit.

The weekly digest

Every Monday: seven entries you may not know, what is on the calendar this week, and one rite drawn step by step.