Home | Forms | Contact & Privacy Geometric Calculators German: Geometrierechner

2D Regular Polygons:
Equilateral Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon, Hendecagon, Dodecagon, N-gon

Other Polygons:
Triangle, Right Triangle, Isosceles Triangle, IR Triangle, Quadrilateral, Rectangle, Rhombus, Parallelogram, Kite, Right Trapezoid, Isosceles Trapezoid, Trapezoid, Cyclic Quadrilateral, Tangential Quadrilateral, Arrowhead, Antiparallelogram, House-Shape, Concave Pentagon, Parallelogon, Threestar, Fourstar, Pentagram, Hexagram, Oktagram, Star of Lakshmi

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Circular Layer, Round Corner, Annulus, Annulus Sector, Ellipse, Elliptical Segment, Stadium, Digon, Spherical Triangle, Reuleaux Triangle, Cycloid, Astroid, Hypocycloid, Cardioid, Parabolic Segment, Arbelos, Salinon, Lune, Oval, Three Circles, Lemniscate, Squircle
3D Platonic Solids:
Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron

Archimedean Solids:
Truncated Tetrahedron, Cuboctahedron, Truncated Cube, Truncated Octahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Dodecahedron, Truncated Icosahedron

Catalan Solids:
Triakis Tetrahedron, Rhombic Dodecahedron, Tetrakis Hexahedron, Deltoidal Icositetrahedron, Rhombic Triacontahedron

Johnson Solids:
Pyramids, Cupolae, Rotunda, Elongated Pyramids, Snub Disphenoid

Other Polyhedrons:
Cuboid, Square Pillar, Square Pyramid, Regular Pyramid, Pyramid, Regular Frustum, Frustum, Bipyramid, Ramp, Right Wedge, Wedge, Rhombohedron, Parallelepiped, Prism, Oblique Prism, Antiprism, Trapezohedron, Disphenoid, Corner, General Tetrahedron, Half Cuboid, Truncated Rhombohedron, Stellated Octahedron, Small Stellated Dodecahedron, Great Stellated Dodecahedron

Round Forms:
Sphere, Hemisphere, Cylinder, Cut Cylinder, Oblique Cylinder, Generalized Cylinder, Cone, Truncated Cone, Oblique Circular Cone, Elliptic Cone, Spheroid, Ellipsoid, Spherical Sector, Spherical Cap, Spherical Segment, Spherical Wedge, Cylindrical Wedge, Cylindrical Sector, Cylindrical Segment, Spherical Shell, Cylindrical Shell, Spherical Ring, Torus, Arch, Reuleaux-Tetrahedron, Capsule, Lens, Barrel, Paraboloid, Hyperboloid, Oloid, Steinmetz Solids


Geometric Calculators

EuclidHere you will find many calculators for geometric shapes (2D) and solids (3D). Choose a calculator from the left menu or from the graphical overview. Have fun!

Those calculators draw a sketch of the calculated shape: Regular N-gon, Triangle, House-Shaped Pentagon, Trapezoid, Ellipse.

The easiest way to get from a two-dimensional to a three-dimensional form is the generalized cylinder. There, a flat base is perpendicularly extended into the third dimension.

The Pythagorean theorem is the most famous and probably also most used geometric formula: a²+b²=c² for the lengths of the three sides of a right triangle.

a: b: c:  

About Geometry

Geometry is a branch of mathematics and was one of its first areas, that was practically useful and which has been researched scientifically. The building of even the most simple houses requires basic geometric skills. The Pythagorean theorem was known to the Babylonians at least 1000 years before Pythagoras. The Egyptians built their pyramids mostly of cuboids. Euclid created with his work 'Elements' about arithmetics and geometry, more than 2200 years ago, the first setup of an exact science and one of the most important textbooks of history. There, he presents the since then so called Euclidean geometry, the lore of two- and three-dimensional forms and their construction and calculation. It begins with the famous statement "A point is that of which there is no part."

Since then, geometry was expanded enormously and now also covers areas, which are hardly accessible to normal people. But still, the knowledge of simple forms, their calculation and creation, is an important field and can be useful or necessary for many different tasks and projects.

Elements by Euclid, German edition from 1818
Kepler's early solar system model: the orbits of the planets as spheres, in between cube, tetrahedron, dodecahedron, icosahedron and octahedron.



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