Sphere

Sphere

A sphere is the set of points which are all within the same distance from a given point in space.

Mathematics

Keywords

sphere, radius, diameter, great circle, plane section, solid of revolution, geometry, mathematics

Related items

Surface area of spheres (demonstration)

The surface of a sphere consists of the set of points which are all at the same distance from a given point in space.

Volume of spheres (Cavalieri´s principle)

Calculating the volume of a sphere is possible using an appropriate cylinder and cone.

Volume of spheres (demonstration)

The sum of the volume of the ´tetrahedrons´ gives an approximation of the volume of the sphere.

Császár polyhedron

The Császár polyhedron is a nonconvex polyhedron with 14 triangular faces.

Conic solids

This animation demonstrates various types of cones and pyramids.

Cylindrical solids

This animation demonstrates various types of cylindrical solids as well as their lateral surfaces.

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This animation demonstrates various groups of solids through examples.

Grouping of solids 1

This animation demonstrates various groups of solids through examples.

Grouping of solids 2

This animation demonstrates various groups of solids through examples.

Grouping of solids 3

This animation demonstrates various groups of solids through examples.

Grouping of solids 4

This animation demonstrates various groups of solids through examples.

Non-orientable surfaces

The Möbius strip and the Klein bottle are special two-dimensional surfaces with only one side.

Perimeter, area, surface area and volume

This animation presents the formulas to calculate the perimeter and area of shapes as well as the surface area and volume of solids.

Platonic solids

This animation demonstrates the five regular three-dimensional (or Platonic) solids, the best known of which is the cube.

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This animation demonstrates several types of prisms, from general to regular.

Szilassi polyhedron

This special concave polyhedron was named after a Hungarian mathematician.

Solids of revolution

Rotating a geometric shape around a line within its geometric plane as an axis results in a solid of revolution.

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