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Icosahedron

Explore Icosahedron on MathWorld


(1) A general icosahedron is any polyhedron having 20 faces. (2) The regular icosahedron is the Platonic solid comprised of 20 equilateral triangles, 12 vertices, and 30 edges.

Icosahedron is a middle school-level concept.

Prerequisites

Platonic Solid: The Platonic solids are the five convex solids composed of identical regular polygons.
Regular Polygon: A regular polygon is a polygon in which the sides are all the same length and the angles all have the same measure.

Classroom Articles on Solid Geometry

  • Cone
  • Prism
  • Convex Hull
  • Pyramid
  • Cross Section
  • Solid Geometry
  • Cube
  • Sphere
  • Cylinder
  • Surface
  • Dodecahedron
  • Surface Area
  • Octahedron
  • Tetrahedron
  • Polyhedron
  • Volume

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

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