Polygon Triangulations from Sides (One Vertex)

Calculate how many triangles a polygon can be split into from one vertex.

Author

Prof. Rajesh Sharma

Math editorial contributor

Indian agricultural economist from IARI New Delhi, advising governments on food security under climate change

Reviewed by

Dr. Samuel Okafor

Math content reviewer

Nigerian-Canadian data scientist with a PhD from the University of Toronto, building ML models for early cancer detection

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

20 Number of Sides =

18 Triangle Count

Representative value from the Polygon Triangulations from Sides (One Vertex) reference table.

Reference Values

Browse 20 reference values with individual detail pages for quick lookup.

Browse all reference values

Polygon Triangulations from Sides (One Vertex)

Calculate how many triangles a polygon can be split into from one vertex.

Calculated Result

Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Polygon Triangulations from Sides (One Vertex) Reference
Number of SidesTriangles from One Vertex
3 Number of Sides1 Triangle Count
4 Number of Sides2 Triangle Count
5 Number of Sides3 Triangle Count
6 Number of Sides4 Triangle Count
7 Number of Sides5 Triangle Count
8 Number of Sides6 Triangle Count
9 Number of Sides7 Triangle Count
10 Number of Sides8 Triangle Count
12 Number of Sides10 Triangle Count
15 Number of Sides13 Triangle Count
20 Number of Sides18 Triangle Count
24 Number of Sides22 Triangle Count
30 Number of Sides28 Triangle Count
40 Number of Sides38 Triangle Count
50 Number of Sides48 Triangle Count
60 Number of Sides58 Triangle Count
100 Number of Sides98 Triangle Count
180 Number of Sides178 Triangle Count
360 Number of Sides358 Triangle Count
720 Number of Sides718 Triangle Count

Frequently Asked Questions

Common questions about Polygon Triangulations from Sides (One Vertex), formulas, and typical use cases.

What does the Polygon Triangulations from Sides (One Vertex) calculator do?

It helps with triangulating polygons for geometry proofs, meshing, and area decomposition.

What formula does the Polygon Triangulations from Sides (One Vertex) calculator use?

A polygon with n sides can be partitioned into n - 2 triangles from one vertex.

What inputs are valid?

The number of sides must be an integer greater than or equal to 3.

When would I use this?

triangulating polygons for geometry proofs, meshing, and area decomposition

Methodology and Review

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