Builtin solids without support for textures#

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named after their bases, e.g. a prism with a pentagonal base is called a pentagonal prism.

Triangular Prism#

A triangular prism or trigonal prism[1] is a prism with 2 triangular bases. If the edges pair with each triangle’s vertex and if they are perpendicular to the base, it is a right triangular prism.

An example in C#

var a = 0.50;
var b = 0.50;
var height = 1.0;
var proc = BuiltIn.SetTriangularPrism(a, b, height, 0,0);

\(\quad\)

Left figure: Triangular Prism

Right figure: Triangular Prism, tilted

Square prism#

Cuboids have different types. A special case of a cuboid is a rectangular cuboid, with six rectangle faces and adjacent faces meeting at right angles. When all of the rectangular cuboid’s edges are equal in length, it results in a cube, with six square faces and adjacent faces meeting at right angles.[1][3] Along with the rectangular cuboids, parallelepiped is a cuboid with six parallelogram. Rhombohedron is a cuboid with six rhombus faces. A square frustum is a frustum with a square base, but the rest of its faces are quadrilaterals.

An example in C#

var a = 0.50;
var b = 0.50;
var height = 0.55;
var proc = BuiltIn.SetSquarePrism(a, b, height, 0,0);

\(\quad\)

Left figure: Square prism

Right figure: Square Prism, tilted

Hexagonal prism#

The hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices.

An example in C#

var a = 0.50;
var b = 0.50;
var height = 1.0;
var proc = BuiltIn.SetHexagonalPrism(a, b, height, 0,0);

\(\quad\)

Left figure: Hexagonal prism

Right figure: Hexagonal prism, tilted

Octagonal prism#

The octagonal prism is a prism comprising eight rectangular sides joining two regular octagon caps.

An example in C#

var a = 0.50;
var b = 0.50;
var height = 1.0;
var proc = BuiltIn.SetOctagonalPrism(a, b, height, 0,0);

\(\quad\)

Left figure: Hexagonal prism

Right figure: Hexagonal prism, tilted

Cylinder#

A cylinder is considered a prism with a circle as its base. The cylinder obtained by rotating a line segment about a fixed line that it is parallel to is a cylinder of revolution. A cylinder of revolution is a right circular cylinder.

An example in C#

var numSides = 7;
var a = 0.50;
var b = 0.50;
var height = 1.0;
var proc = BuiltIn.SetCylinder(numSides, a, b, height, 0,0);

\(\quad\)

Left figure: Cylinder

Right figure: 4 Cylinders

Cylinder, truncated by an inclined plane#

An example in C#

var numSides = 7;
var a = 0.50;
var b = 0.50;
var height = 1.0;
var cutslope1 = -0.5;
var cutslope2 = 0.5;
var proc = BuiltIn.SetCylinder2CP(numSides, a, b, height, cutslope1, cutslope2);

\(\quad\)

Left figure: Cylinder with inclined cut plane

Right figure: Cylinder with inclined cut plane

Pyramid#

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. It is a conic solid with a polygonal base. Many types of pyramids can be found by determining the shape of bases, or cutting off the apex.

An example in C#

var numSides = 7;
var a = 0.50;
var b = 0.50;
var height = 1.0;
var proc = BuiltIn.SetPyramid(numSides, a, b, height);

Left figure: Pyramid

Pyramid frustum#

A frustum of a pyramid is the portion of the pyramid that lies between two parallel planes cutting the pyramid. In a truncated pyramid, the truncation plane is not necessarily parallel to the pyramid’s base (as in a frustum), i.e. it is inclined.

An example in C#

var numSides = 7;
var a = 0.50;
var b = 0.50;
var height = 1.2;
var cutheight = 0.8;
var cutslope = 0.0;
var proc = BuiltIn.SetFrustum(numSides, a, b, height, cutheight, cutslope);

Left figure: Pyramid Frustum

Pyramid, truncated by an inclined plane#

An example in C#

var numSides = 7;
var a = 0.50;
var b = 0.50;
var height = 1.2;
var cutheight = 0.8;
var cutslope = 0.3;
var proc = BuiltIn.SetFrustum(numSides, a, b, height, cutheight, cutslope);

Right figure: Pyramid with inclined cut plane

Cone#

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. A cone with a polygonal base is called a pyramid.

An example in C#

var numSides = 32;
var a = 0.50;
var b = 0.50;
var height = 1.0;
var proc = BuiltIn.SetCone(numSides, a, b, height);

Left figure: Cone

Cone Frustum#

An example in C#

var numSides = 32;
var a = 0.50;
var b = 0.50;
var height = 1.2;
var cutheight = 0.6;
var cutslope = 0.0;
var proc = BuiltIn.SetConeFrustum(numSides, a, b, height, cutheight, cutslope);

Left figure: Cone frustum

Cone, truncated by an inclined plane#

An example in C#

var numSides = 32;
var a = 0.50;
var b = 0.50;
var height = 1.2;
var cutheight = 0.6;
var cutslope = 0.3;
var proc = BuiltIn.SetConeFrustum(numSides, a, b, height, cutheight, cutslope);

Right figure: Cone, truncated by an inclined plane

Builtin solids without support for textures

Contents

Builtin solids without support for textures#

Triangular Prism#

Square prism#

Hexagonal prism#

Octagonal prism#

Cylinder#

Cylinder, truncated by an inclined plane#

Pyramid#

Pyramid frustum#

Pyramid, truncated by an inclined plane#

Cone#

Cone Frustum#

Cone, truncated by an inclined plane#