1D
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Curves
Line , Circular Arc , Parabola , Helix , Koch Curve , Hilbert Curve
2D
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Regular Polygons
Equilateral Triangle , Square , Pentagon , Hexagon , Heptagon , Octagon , Nonagon , Decagon , Hendecagon , Dodecagon , Hexadecagon , N-gon , Polygon Ring
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Other Polygons
Triangle , Right Triangle , Isosceles Triangle , IR Triangle , 1/2 EL Triangle , Golden Triangle , Quadrilateral , Rectangle , Golden Rectangle , Rhombus , Equidiagonal Rhombus , Parallelogram , Kite , 60-90-120 Kite , Half Square Kite , Right Kite , Trapezoid , Right Trapezoid , Isosceles Trapezoid , Tri-equilateral Trapezoid , Obtuse Trapezoid , Cyclic Quadrilateral , Tangential Quadrilateral , Right Quadrilateral , Arrowhead , Concave Quadrilateral , Crossed Rectangle , Antiparallelogram , House-Shape , Symmetric Pentagon , Diagonally Bisected Octagon , Cut Rectangle , Triangle Segment , Concave Pentagon , Concave Regular Pentagon , Stretched Pentagon , Straight Bisected Octagon , Stretched Hexagon , Symmetric Hexagon , Semi-regular Hexagon , Parallelogon , Concave Hexagon , Arrow-Hexagon , Rectangular Hexagon , L-Shape , Sharp Kink , T-Shape , Square Heptagon , Truncated Square , Stretched Octagon , Double Square , Frame , Open Frame , Grid , Cross , X-Shape , H-Shape , Threestar , Fourstar , Pentagram , Hexagram , Unicursal Hexagram , Oktagram , Star of Lakshmi , Double Star Polygon , Polygram , Concave Polygon , Rectangular Star , Isogonal Polygon , The Hat , Polygon
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Round Shapes
Circle , Semicircle , Circular Sector , Circular Segment , Circular Layer , Circular Central Segment , Round Corner , Circular Corner , Circle Tangent Arrow , Drop Shape , Crescent , Pointed Oval , Two Circles , Lancet Arch , Knoll , Elongated Semicircle , Elongated Quarter Circle , Annulus , Semi-Annulus , Annulus Sector , Annulus Segment , Annulus stripe , Curved Rectangle , Cash , Rounded Polygon , Rounded Rectangle , Ellipse , Semi-Ellipse , Elliptical Segment , Elliptical Sector , Kepler Sector , Elliptical Ring , Elliptical Crescent , Stadium , Half Stadium , Stadium Segment , Spiral , Log. Spiral , Reuleaux Triangle , Cycloid , Double Cycloid , Astroid , Hypocycloid , Cardioid , Epicycloid , Parabolic Segment , Hyperbolic Segment , Catenary Arc , Heart , Head , Tricorn , Pointed Semicircle , Interarc Triangle , Circular Arc Triangle , Interarc Quadrangle , Intercircle Quadrangle , Circular Arc Quadrangle , Circular Arc Polygon , Claw , Half Yin-Yang , Arbelos , Salinon , Bulge , Lune , Three Circles , Polycircle , Round-Edged Polygon , Rose , Gear , Oval , Egg-Profile , Lemniscate , Squircle , Circular Square , Digon , Spherical Triangle , Spherical Rectangle , Sphere-Cut Rectangle , Hyperbolic Triangle
3D
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Platonic Solids
Tetrahedron , Cube , Octahedron , Dodecahedron , Icosahedron
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Archimedean Solids
Truncated Tetrahedron , Cuboctahedron , Truncated Cube , Truncated Octahedron , Rhombicuboctahedron , Truncated Cuboctahedron , Icosidodecahedron , Truncated Dodecahedron , Truncated Icosahedron , Snub Cube , Rhombicosidodecahedron , Truncated Icosidodecahedron , Snub Dodecahedron
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Catalan Solids
Triakis Tetrahedron , Rhombic Dodecahedron , Triakis Octahedron , Tetrakis Hexahedron , Deltoidal Icositetrahedron , Hexakis Octahedron , Rhombic Triacontahedron , Triakis Icosahedron , Pentakis Dodecahedron , Pentagonal Icositetrahedron , Deltoidal Hexecontahedron , Hexakis Icosahedron , Pentagonal Hexecontahedron
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Johnson Solids
Pyramids , Cupolae , Rotunda , Elongated Pyramids , Gyroelongated Pyramids , Bipyramids , Elongated Bipyramids , Gyroelongated Square Dipyramid , Gyrobifastigium , Disheptahedron , Snub Disphenoid , Sphenocorona , Disphenocingulum
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Other Polyhedrons
Cuboid , Square Pillar , Triangular Pyramid , Square Pyramid , Regular Pyramid , Rectangular Pyramid , Pyramid , Square Frustum , Regular Frustum , Rectangular Frustum , Frustum , Bent Pyramid , Regular Bipyramid , Bipyramid , Bifrustum , Frustum-Pyramid , Ramp , Right Wedge , Wedge , Rhombohedron , Parallelepiped , Regular Prism , Prism , Oblique Prism , Scutoid , Anticube , Antiprism , Isosceles Antiprism , Prismatoid , Trapezohedron , Deltohedron , Disphenoid , Corner , Cube Corner , IR Tetrahedron , General Tetrahedron , Wedge-Cuboid , Half Cuboid , Skewed Cuboid , Ingot , Skewed Triangular Prism , Cut Cuboid , Truncated Cuboid , Obtuse Edged Cuboid , Elongated Dodecahedron , Truncated Rhombohedron , Obelisk , Bent Cuboid , Hollow Cuboid , Hollow Pyramid , Hollow Frustum , Star Pyramid , Stellated Octahedron , Small Stellated Dodecahedron , Great Stellated Dodecahedron , Great Dodecahedron , Great Icosahedron
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Round Shapes
Sphere , Hemisphere , Quarter Sphere , Spherical Corner , Cylinder , Cut Cylinder , Oblique Cylinder , Bent Cylinder , Cylindrical Arc , Elliptic Cylinder , Generalized Cylinder , Cone , Truncated Cone , Oblique Circular Cone , Elliptic Cone , Truncated Elliptic Cone , General Cone , General Truncated Cone , Bicone , Truncated Bicone , Pointed Pillar , Rounded Cone , Elongated Hemisphere , Drop , Ball Head , Spheroid , Ellipsoid , Semi-Ellipsoid , Spherical Sector , Spherical Cap , Spherical Segment , Spherical Central Segment , Spherical Wedge , Spherical Triangle Sector , Double Calotte , Spindle , Rounded Disc , Double Sphere , Sphere Difference , Sphere Cone , Half Cylinder , Diagonally Halved Cylinder , Cylindrical Wedge , Cylindrical Sector , Cylindrical Segment , Flat End Cylinder , Half Cone , Conical Sector , Conical Wedge , Oblique Cone Section , Spherical Shell , Half Spherical Shell , Spherical Shell Cap , Cylindrical Shell , Cut Cylindrical Shell , Oblique Cylindrical Shell , Hollow Cone , Truncated Hollow Cone , Spherical Ring , Torus , Spindle Torus , Toroid , Semicircle Toroid , Torus Sector , Toroid Sector , Arch , Reuleaux-Tetrahedron , Capsule , Half Capsule , Capsule Segment , Double Point , Anticone , Truncated Anticone , Sphere-Cylinder , Lens , Concave Lens , Barrel , Egg Shape , Paraboloid , Hyperboloid , Catenoid , Catenary Dome , Oloid , Steinmetz Solids , Cross Cylinder , Solid of Revolution
4D
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Four-Dimensional Shapes
Tesseract , Hypersphere
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Geometric Calculators
Here you will find many calculators for geometric curves (1D), 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 , Convex Quadrilateral , Right Quadrilateral , Concave Quadrilateral , Antiparallelogram , House-Shaped Pentagon , Trapezoid , Obtuse Trapezoid , Simple Polygon , Ellipse , Lune .
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."
Meanwhile, there are also non-Euclidean geometries, geometries of the curved, like the spherical geometry, where there is a digon and a spherical triangle with a sum of angles larger than 180 degrees.
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.
Last updated on 08/09/2026.
Author: Jürgen Kummer
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Online Calculators
Cite this page: Rechneronline (2026) - Geometric Shapes and Solids. Retrieved on 2026-10-06 from https://rechneronline.de/pi/geometry.php
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