Domain Hub โ€ข Geometry & Spatial Analysis

Meetkunde & Ruimtelijke Analyse

2D and 3D geometric solvers: regular polygons, conic sections, polyhedra, surfaces of revolution, and radical closed-form proofs.

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Conic Sections โ€ข Ramanujan Elliptic Matrix

Ellipse Area, Perimeter & Eccentricity Calculator

Calculate exact ellipse area, Ramanujan high-precision perimeter approximation, semi-axes, focal distance, and orbital eccentricity.

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Planar Geometry โ€ข Trapezoid Solver

Trapezoid Area, Median & Perimeter Calculator

Calculate trapezoid (trapezium) area, midline median, perimeter, and diagonal lengths from base lengths, height, and side legs.

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Equilateral Quadrilateral โ€ข Rhombus Matrix

Rhombus Area, Side & Diagonals Calculator

Calculate rhombus area, perimeter, side length, incircle radius, and internal angles from intersecting diagonals dโ‚ and dโ‚‚.

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Affine Geometry โ€ข Parallelogram Matrix

Parallelogram Area & Diagonals Calculator

Calculate parallelogram area, perimeter, internal diagonals, and heights using base, side, and acute internal angle.

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Deltoid Geometry โ€ข Kite Area Matrix

Kite Geometry & Area Calculator

Calculate kite area, perimeter, side pairs, and internal diagonal lengths from perpendicular diagonal axes.

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Solid Geometry โ€ข Cylinder Volumetric Matrix

Cylinder Volume & Surface Area Calculator

Calculate cylinder volume, lateral curved surface area, total surface area, and base perimeter from radius and height.

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Conical Geometry โ€ข Right Cone Matrix

Right Circular Cone Volume & Slant Height Calculator

Calculate cone volume, slant height, lateral area, total surface area, and base cone angle from radius and vertical height.

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Spherical Geometry โ€ข Archimedean Sphere Matrix

Sphere Volume & Surface Area Calculator

Calculate exact sphere volume, surface area, radius, diameter, and circumscribed cylinder ratio using Archimedes' theorem.

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Topology & Solids โ€ข Pappus Toroid Matrix

Torus Volume & Surface Area (Donut) Calculator

Calculate donut torus volume and surface area using Pappus's Centroid Theorems from major radius R and minor radius r.

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Polyhedral Geometry โ€ข Triangular Prism Matrix

Triangular Prism Volume & Surface Area Calculator

Calculate triangular prism volume, lateral face area, base area, and total surface area from triangular base dimensions and prism length.

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Pyramidal Geometry โ€ข Square Pyramid Matrix

Square Pyramid Volume & Slant Height Calculator

Calculate square and rectangular pyramid volume, lateral slant height, lateral face area, and total surface area.

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Truncated Solids โ€ข Conical Frustum Matrix

Frustum of a Cone (Truncated Cone) Calculator

Calculate volume, lateral surface area, slant height, and total surface area of a truncated cone (frustum) from base radii and height.

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Ancient Egyptian Geometry โ€ข Moscow Papyrus Matrix

Frustum of a Pyramid (Truncated Pyramid) Calculator

Calculate volume, slant height, and surface area of a truncated square pyramid from top base aโ‚, bottom base aโ‚‚, and height.

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Triaxial Geometry โ€ข Ellipsoid Volumetric Solver

Ellipsoid Volume & Surface Area Calculator

Calculate ellipsoid volume and surface area using the Knud Thomsen p-norm approximation formula from semi-axes a, b, and c.

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Trigonometry โ€ข Circular Arc & Sector Matrix

Arc Length, Sector Area & Chord Calculator

Calculate circular arc length (s), sector area, segment area, and chord length from circle radius and central angle (degrees or radians).