1D Line
2D
Regular Polygons: Equilateral Triangle , Square , Pentagon , Hexagon , Heptagon , Octagon , Nonagon , Decagon , Hendecagon , Dodecagon , Hexadecagon , N-gon
Other Polygons: Triangle , Right Triangle , Isosceles Triangle , IR Triangle , Quadrilateral , Rectangle , Rhombus , Parallelogram , Right Kite , Kite , Right Trapezoid , Isosceles Trapezoid , Trapezoid , Cyclic Quadrilateral , Tangential Quadrilateral , Arrowhead , Antiparallelogram , House-Shape , Symmetric Pentagon , Concave Pentagon , Parallelogon , Sharp Kink , Frame , Threestar , Fourstar , Pentagram , Hexagram , Unicursal Hexagram , Oktagram , Star of Lakshmi , Polygon
Round Forms: Circle , Semicircle , Circular Sector , Circular Segment , Circular Layer , Round Corner , Annulus , Annulus Sector , Curved Rectangle , Ellipse , Semi-Ellipse , Elliptical Segment , Elliptical Sector , Stadium , Digon , Spherical Triangle , Spiral , Log. Spiral , Reuleaux Triangle , Cycloid , Astroid , Hypocycloid , Cardioid , Epicycloid , Parabolic Segment , Arbelos , Salinon , Lune , Three Circles , Oval , 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 , Snub Cube
Catalan Solids: Triakis Tetrahedron , Rhombic Dodecahedron , Tetrakis Hexahedron , Deltoidal Icositetrahedron , Rhombic Triacontahedron , Pentagonal Icositetrahedron
Johnson Solids: Pyramids , Cupolae , Rotunda , Elongated Pyramids , Snub Disphenoid
Other Polyhedrons: Cuboid , Square Pillar , Square Pyramid , Regular Pyramid , Pyramid , Regular Frustum , Frustum , Bipyramid , Bifrustum , Ramp , Right Wedge , Wedge , Rhombohedron , Parallelepiped , Prism , Oblique Prism , Antiprism , Prismatoid , Trapezohedron , Disphenoid , Corner , General Tetrahedron , Half Cuboid , Skewed Cuboid , Skewed Three-Edged Prism , Truncated Rhombohedron , Hollow Cuboid , 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 , Bicone , Spheroid , Ellipsoid , Semi-Ellipsoid , Spherical Sector , Spherical Cap , Spherical Segment , Spherical Wedge , Cylindrical Wedge , Cylindrical Sector , Cylindrical Segment , Flat End Cylinder , Spherical Shell , Cylindrical Shell , Spherical Ring , Torus , Arch , Reuleaux-Tetrahedron , Capsule , Lens , Barrel , Egg Shape , Paraboloid , Hyperboloid , Oloid , Steinmetz Solids
4D
Tesseract , Hypersphere
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Prismatoid and Prismoid Calculator
Calculations in a prismatoid. A prismatoid is a polyhedron with two parallel polygons as base and cover faces, whose vertices are connected in a way, that the side faces are triangles or trapezoids (including parallelograms ). If both parallel polygons have the same number of vertices and if the side faces all are trapezoids, this is a prismoid. The calculation of the volume is made with the height, the areas of base and cover face and the area of the cross section at half height. The difficulty is to get the latter. Enter four values and choose the number of decimal places, then click Calculate.

Formula:
V = h/6 * ( A

_{1} + 4A

_{2} + A

_{3} )

This is a variation of the

barrel formula of Kepler.

The height has a one-dimensional unit (e.g. meter), the areas have this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter).

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