Advanced Triangulation Generator Calculator

Create precise triangles, meshes, survey intersections, and quality reports. Import points, inspect geometry, export results, and review every calculation step.

Version 1.0.0 Browser calculations No database required

Calculation Result

Choose a mode, enter values, then calculate.

No result has been generated.

Project and Calculation Settings

Control units, precision, tolerances, output details, and triangulation behavior.

Geographic values are treated as planar unless projected first.
Zero disables the warning threshold.

Triangle Solver Inputs

SSS: a,b,c. SAS: b,c,A. ASA: A,B,c. AAS: A,B,a. SSA: a,b,A.

Polygon Triangulation Inputs

Use one point per line: ID, X, Y, Z. Concave polygons are supported.
Hole boundaries are visualized and excluded from simple output filtering.

Delaunay Point Cloud Inputs

Triangles are kept when their centroid lies inside this boundary.

Survey Intersection Inputs

Bearing or distance, depending on method.
Instrument height, target height.

Barycentric Coordinate Inputs

Used for interpolation.

3D Surface Inputs

Random Triangulation Generator

Acceptable triangle
Low quality
Degenerate or invalid

Quality Analysis

Mesh health and distribution summary.

Waiting

Quality information appears after calculation.

Triangle Results

Sort-ready connectivity, geometry, centers, and quality details.

IDVerticesAreaPerimeterAnglesMin angleAspectQualityOrientationStatus
No triangles available.

Step-by-Step Solution

Review normalization, formulas, algorithm decisions, and checks.

  1. Select a mode and generate a result.

Formula Used

Core formulas applied by the generator.

Distance, area, and orientation

d = √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²)\n\nSigned area = ½[(x₂-x₁)(y₃-y₁) − (y₂-y₁)(x₃-x₁)]\n\nArea₃ᴅ = ½ |(B-A) × (C-A)|

Triangle metrics

s = (a+b+c)/2\nArea = √(s(s-a)(s-b)(s-c))\nR = abc/(4Area)\nr = Area/s\nQuality = 4√3 × Area/(a²+b²+c²)

Law of sines and cosines

a/sin(A) = b/sin(B) = c/sin(C)\n\nc² = a² + b² − 2ab cos(C)

Barycentric coordinates

P = uA + vB + wC\nu + v + w = 1\n\nInside test: u ≥ 0, v ≥ 0, w ≥ 0

How to Use This Calculator

Select the required triangulation mode first. Enter coordinates or geometric measurements in the active panel. Keep point identifiers unique and use consistent units.

Choose precision, tolerance, labels, and quality limits. Press the generation button to validate and solve the geometry. Review warnings before using exported engineering data.

Inspect the drawing, quality panel, table, and detailed steps. Use filters to isolate weak triangles. Export the finished project in your preferred format.

Advanced Notes and Limitations

This standalone implementation performs planar triangulation in your browser. Geographic coordinates require a suitable map projection before precision surveying work. Large point clouds may need a dedicated spatial library or server process.

Polygon holes are accepted for display and centroid-based filtering. Full constrained Delaunay enforcement can require edge recovery and mesh refinement. Validate critical results using professional survey or finite-element software.

PDF export uses the browser print dialog. OBJ and STL exports use generated triangle faces. Always verify units, coordinate reference systems, and field observations.

Saved Project History

No saved projects.

Generated: 2026-07-23T01:23:33+00:00 | Version 1.0.0

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.