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In geometry, a planigon is a convex polygon that can fill the plane with only copies of itself (isotopic to the fundamental units of monohedral tessellations). In the Euclidean plane there are 3 regular planigons; equilateral triangle, squares, and regular hexagons; and 8 semiregular planigons; and 4 demiregular planigons which can tile the plane only…
The analysis highlights History, Measurement and Standards as prominent areas in the source structure around Planigon.
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.
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.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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The extracted context around Planigon shows recurring relationship patterns in the source. For example, Planigon → Alekseĭ Vasilʹevich, Archimedean, Branko Grünbaum, Catalan, Fritz Laves, John Conway, Laves, Shubnikov, The Laves, They're, Three, Tilings Another extracted example is Planigon → All Laves, Grünbaum, In Tilings, Laves, Patterns. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
tilings regular planigons dual vertex uniform tiling edges laves displaystyle polygons vertices number two plane types shown k-uniform tiles must
TTTA extracted 37 structured relationships around Planigon. Examples in this analysis include Planigon → is a → convex polygon that can fill the plane with only copies of itself and Planigon → related to 2-Dual-Uniform → Krotenheerdt Duals. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Planigon | is a | convex polygon that can fill the plane with only copies of itself | 0.90 | text |
| Planigon | related to 2-Dual-Uniform | Krotenheerdt Duals | 0.60 | section |
| Planigon | related to 3-Dual-Uniform | Krotenheerdt Duals | 0.60 | section |
| Planigon | related to 4-Dual-Uniform | Krotenheerdt Duals | 0.60 | section |
| Planigon | related to 5-dual-uniform 4-Catalaves tilings | Changes | 0.60 | section |
| Planigon | related to Big Fractalization | DC | 0.60 | section |
| Planigon | related to Big Fractalization | DB | 0.60 | section |
| Planigon | related to Big Fractalization | S2TC | 0.60 | section |
| Planigon | related to Circle Packing | Optimized Tilings | 0.60 | section |
| Planigon | related to history | Tilings | 0.60 | section |
| Planigon | related to history | Branko Grünbaum | 0.60 | section |
| Planigon | related to history | Archimedean | 0.60 | section |
The concept neighborhoods around Planigon bring nearby vocabulary together. In this analysis, examples include Two, Angles and Plane. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Planigon, one of the stronger structural bridges in this analysis connects Planigon with Construction. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Planigon to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Measurement & Standards, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Planigon · EN edition · Analysis: TopicsToTalkAbout