Explore Surface on MathWorld

A surface is a two-dimensional piece of three-dimensional space.

Surface is a middle school-level concept.


Cone: A cone is a pyramid with a circular cross section.
Cylinder: A cylinder is a solid of circular cross section in which the centers of the circles all lie on a single line.
Möbius Strip: A Moebius strip is one-sided nonorientable surface obtained by cutting a closed band into a single strip, giving it half a twist, and then reattaching the two ends.
Sphere: A sphere is the set of all points in three-dimensional space that are located at a fixed distance from a given point.
Surface of Revolution: A surface generated by rotating a two-dimensional curve about an axis.
Torus: A torus is a closed surface containing a single hole that is shaped like a doughnut.


Parametric Equations: Parametric equations are a set of equations that together express a set of quantities as explicit functions of a number of independent variables, which are known as parameters.

Classroom Articles on Solid Geometry

  • Convex Hull
  • Polyhedron
  • Cross Section
  • Prism
  • Cube
  • Pyramid
  • Dodecahedron
  • Solid Geometry
  • Icosahedron
  • Surface Area
  • Octahedron
  • Tetrahedron
  • Platonic Solid
  • Volume

  • Classroom Articles on Geometry (Up to Middle School Level)

  • Acute Angle
  • Nonagon
  • Altitude
  • Obtuse Angle
  • Angle
  • Octagon
  • Area
  • Parallel
  • Circle
  • Parallelogram
  • Circumference
  • Pentagon
  • Complementary Angles
  • Perimeter
  • Congruent
  • Perpendicular
  • Decagon
  • Pi
  • Diameter
  • Point
  • Dodecagon
  • Polygon
  • Equilateral Triangle
  • Quadrilateral
  • Geometric Construction
  • Radius
  • Golden Ratio
  • Rectangle
  • Golden Rectangle
  • Regular Polygon
  • Hendecagon
  • Right Triangle
  • Heptagon
  • Square
  • Hexagon
  • Supplementary Angles
  • Hypotenuse
  • Trapezoid
  • Isosceles Triangle
  • Triangle
  • Midpoint