Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Magic circle (mathematics): Yang Hui magic circles, Ding Yidong magic circles & Cheng Dawei magic circles

Magic circles were invented by the Song dynasty (960–1279) Chinese mathematician Yang Hui (c. 1238–1298). It is the arrangement of natural numbers on circles where the sum of the numbers on each circle and the sum of numbers on diameters are identical. One of his magic circles was constructed from the natural numbers from 1 to 33 arranged on four…

Language: English [EN]
Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.
100%
More settings
100% 100% 100% 100% 100%

Magic circle (mathematics) topic overview

The analysis highlights Yang Hui magic circles, Ding Yidong magic circles and Cheng Dawei magic circles as prominent areas in the source structure around Magic circle (mathematics).

Related topics
13
Source areas
6
Connected nodes
19
Related term clusters
16
Bridge connections
19

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 7 topics
Yang Hui magic circles · 2 topics
Cheng Dawei magic circles · 1 topics
Ding Yidong magic circles · 1 topics
Extension to higher dimensions · 1 topics
Relationship with magic squares · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Start with your topic. Discover where to go next.

Explore different angles and find fresh ideas to shape your next piece of content.

Magic circle (mathematics)

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Yang Hui magic circles

Ding Yidong magic circles

Cheng Dawei magic circles

Extension to higher dimensions

Relationship with magic squares

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Magic circle (mathematics) connects Entity context

See recurring relationship patterns around Magic circle (mathematics) before inspecting the individual extracted relationships.

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

circle magic circles numbers square yang number center eight sum concentric hui arranged total mathematician one four natural chinese diameters

Magic circle (mathematics) relationships Subject–Predicate–Object triples

TTTA extracted structured relationships around Magic circle (mathematics). The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc

Related concept clusters Related term clusters

The concept neighborhoods around Magic circle (mathematics) bring nearby vocabulary together. In this analysis, examples include Circle, Magic and Square. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Magic circle (mathematics)
    • Circle
    • Magic
    • Square
    • Circles
    • Center
    • Concentric
    • Yang
    • Number
    • Following
    • Group
    • One
    • Series
  • magic circle (mathematics)
    • Circle
    • Magic
    • Numbers
    • Square
    • Circles
    • Eight
    • Center
    • Number
    • Concentric
    • Yang
    • Following
    • Group
  • circles
    • Circle
    • Numbers
    • Eight
    • Arranged
    • Magic
    • Square
    • Concentric
    • Total
    • Sum
    • Center
    • Number
    • Arrangement
  • concentric
    • Hui's
    • Eight
    • Four
    • Series
    • Magic
    • Square
    • Yang
    • Center
    • Cheng
    • Dawei
    • Diameters
    • Ding
  • magic square
    • Circle
    • Square
    • Center
    • Following
    • Number
    • Concentric
    • Yang
    • Group
    • One
    • Series
    • Hui's
    • Nine
  • most-perfect magic square
    • Circle
    • Square
    • Center
    • Following
    • Number
    • Concentric
    • Yang
    • Group
    • One
    • Series
    • Hui's
    • Nine
  • yang hui magic circles
    • Yang
    • Circle
    • Ding
    • Yidong
    • Square
    • Numbers
    • Hui's
    • Mathematician
    • Series
    • Eight
    • Center
    • Arranged
  • ding yidong magic circles
    • Ding
    • Yidong
    • Circle
    • Hui
    • Square
    • Numbers
    • Yang
    • Eight
    • Center
    • Arranged
    • Cheng
    • Dawei

Connections between topic areas Semantic bridges

For Magic circle (mathematics), one of the stronger structural bridges in this analysis connects Magic circle (mathematics) with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Magic circle (mathematics) — Overview · splits 12 ⟂ 8
Magic circle (mathematics) — Yang Hui magic circles · splits 17 ⟂ 3

Map overview Semantic statistics

Magic circle (mathematics)

Nodes20
Edges19
Triples0
Avg. degree1.9
Density0.1
Components1

Source & methodology

TTTA analyzes the structure around Magic circle (mathematics) to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Yang Hui magic circles, Ding Yidong magic circles & Cheng Dawei magic circles, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Magic circle (mathematics) · EN edition · Analysis: TopicsToTalkAbout

For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.

Monitor your Domain Rating with FrogDR