Johnson solid #4 Another attempt at using user:Cyps image:Poly.pov povray macros to automatically find faces and edges. I will update the source once I have a few more Johnson solids under control. See talk:Johnson solid for progress. File history Legend: (cur) = this is the current...

Johnson solid #4 Another attempt at using user:Cyps image:Poly.pov povray macros to automatically find faces and edges. I will update the source once I have a few more Johnson solids under control. See talk:Johnson solid for progress. File history Legend: (cur) = this is the current...

The In geometry, the Square cupola is one of the Johnson solids (J4). It can be obtained as a slice of the rhombicuboctahedron. The 92 Johnson solids were named and described by Norman Johnson in 1966. External links Johnson Solid -- from MathWorld Categories: Stub | Johnson solids ... square cupola with regular faces

In Geometry (from the Greek words Ge = earth and metro = measure) is the branch of mathematics first introduced by Theaetetus dealing with spatial relationships. From experience, or possibly intuitively, people characterize space by certain fundamental qualities, which are termed axioms in geometry. Such axioms are insusceptible to proof, but can be... geometry, a cupola is a solid formed by joining two A polygon (from the Greek poly, for many, and gonos, for angle) is a closed planar path composed of a finite number of sequential straight line segments. The straight line segments that make up the polygon are called its sides or edges and the points where the sides meet are... polygons, one (the base) with twice as many edges as the other, by an alternating band of For alternate meanings, such as the musical instrument, see triangle (disambiguation). A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. Types of triangles Triangles can be classified according to the lengths of their sides... triangles and In geometry, a rectangle is a defined as a quadrilateral polygon in which all four angles are right angles. From this definition, it follows that a rectangle has two pairs of opposite sides of equal length; that is, a rectangle is a parallelogram. A square is a special kind of... rectangles. The In geometry, the triangular cupola is one of the Johnson solids (J3). It can be seen as half a cuboctahedron. The 92 Johnson solids were named and described by Norman Johnson in 1966. External links Johnson Solid -- from MathWorld Categories: Math stubs | Johnson solids ... triangular, In geometry, the Square cupola is one of the Johnson solids (J4). It can be obtained as a slice of the rhombicuboctahedron. The 92 Johnson solids were named and described by Norman Johnson in 1966. External links Johnson Solid -- from MathWorld Categories: Stub | Johnson solids ... square, and In geometry, the Pentagonal cupola is one of the Johnson solids (J5). The 92 Johnson solids were named and described by Norman Johnson in 1966. External links Johnson Solid -- from MathWorld Categories: Stub | Johnson solids ... pentagonal cupolae all count among the The Elongated square gyrobicupola, a Johnson solid A Johnson solid is a convex polyhedron each face of which is a regular polygon, which is not a Platonic solid, Archimedean solid, prism or antiprism. There is no requirement that each face must be the same polygon. An example of a Johnson... Johnson solids, and can be formed by taking sections of the A cuboctahedron is a polyhedron with eight triangular faces and six square faces. A cuboctahedron has 12 identical vertices, with two triangles and two squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such it is one of the Archimedean solids and more... cuboctahedron, The rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. There are 24 identical vertices, with one triangle and three squares meeting at each. Note that six of the squares only share vertices with the triangles while the other twelve share an edge. The... rhombicuboctahedron, and The rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid. It has 20 regular triangular faces, 30 regular square faces, 12 regular pentagonal faces, 60 vertices and 120 edges. The name rhombicosidodecahedron refers to the fact that the 30 square faces lie in the same planes as the 30 faces of... rhombicosidodecahedron, respectively.

The above-mentioned three polyhedra are the only non-trivial cupolae with regular faces: The " A regular hexagon A hexagon (also known as sexagon) is a polygon with six edges and six vertices. Its Schläfli symbol is {6}. The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120°. Like squares and equilateral triangles, regular hexagons... hexagonal cupola" is a plane figure, and the For alternate meanings, such as the musical instrument, see triangle (disambiguation). A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. Types of triangles Triangles can be classified according to the lengths of their sides... triangular In geometry, a prism is a polyhedron made of two parallel copies of some polygonal base joined by faces that are rectangles or parallelograms. In the case these joining faces are rectangular, the object is said to be a right prism. The rectangular prism, or cuboid, and square prism are... prism might be considered a "cupola" of degree 2 (the cupola of a line segment and a square). However, cupolae of higher-degree polygons may be constructed with A polygon (from the Greek poly, for many, and gonos, for angle) is a closed planar path composed of a finite number of sequential straight line segments. The straight line segments that make up the polygon are called its sides or edges and the points where the sides meet are... irregular triangular and rectangular faces.