Alexander Fufaev
My name is Alexander FufaeV and here I write about:

The 16 most Important Geometric Objects: Overview with Formulas and Properties

Table of contents
  1. Circle
  2. Isosceles Triangle
  3. Rhombus
  4. Parallelogram
  5. Trapezoid Flat quadrilateral with two sides parallel to each other.
  6. Sphere
  7. Ellipsoid
  8. Torus
  9. Cube
  10. Cuboid A cuboid is bounded by 6 rectangles.
  11. Straight circular cylinder
  12. Straight circular truncated cone
  13. Straight circular cone
  14. Tetrahedron
  15. Octahedron
  16. Dodecahedron


Kreis mit eingezeichnetem Radius

Circle with radius \(r\). Circles occur everywhere in physics, for example in a circular motion or when particles move in a magnetic field.

Isosceles Triangle

Gleichschenkliges Dreieck mit Grundseite und Höhe

Isosceles triangle with base \(a\) and height \(h\). An isosceles triangle has at least two sides of equal length and two equal angles.


Rhombus (Raute) mit Diagonalen

Rhombus with diagonals \(d_1\) and \(d_2\), and side lengths \(a\).


Parallelogramm mit Seitenlängen und Höhe

Parallelogram with side lengths \(a\) and \(b\), and corresponding angles \(\alpha\) and \(\beta\) and height \(h\).


Trapez und seine Seitenlängen, Höhe und Winkel

A trapezoid with height \(h\) and side lengths \(a\) and \(b\) is a plane quadrilateral with two sides parallel to each other.


Kugel mit ihrem Radius und Durchmesser

Sphere with radius \(r\) and diameter \(d\).


Ellipsoid mit eingezeichneten Halbachsen

Ellipsoid with three semi-axes \(a\), \(b\), and \(c\), which are generally of different lengths.


Torus - von oben / durchgeschnitten

Torus with the radii \(r\) and \(R\).


Würfel mit Seitenlängen

A cube has 6 sides, 12 sides of equal length and 8 edges. The side length is \(a\).


Quader mit eingezeichneten Seitenlängen

A cuboid is a geometric solid bounded by 6 rectangles. A cuboid has 6 rectangular side faces that are at right angles to each other, 8 right-angled edges, and 12 sides, four of which have equal lengths and are parallel to each other.

Straight circular cylinder

Gerader Kreiszylinder mit Radius und Höhe

A straight cylinder with a height \(h\) and the radius \(r\) of its base.

Straight circular truncated cone

Gerader Kreiskegelstumpf

Truncated cone with round bases. The truncated cone has height \(h\), side length \(s\), radius \(r_1\) of the lower circular base and radius \(r_2\) of the upper circular base.

Straight circular cone

Gerader Kreiskegel mit Höhe, Radius und Seitenlänge

Straight circular cone with height \(h\), radius \(r\) of circular base and side length \(s\).


Tetraeder mit Seitenlängen

Tetrahedron (regular polyhedron, Platonic solid) with side lengths \(a\). A tetrahedron has 4 faces and 4 corners.


Oktaeder mit Seitenlängen

Octahedron with side lengths \(a\). An octahedron has 8 faces and 6 edges.


Dodekaeder und seine Kantenlänge

A dodecahedron has 12 faces, 20 edges and is one of the five Platonic solids. Its side length is \(a\).