Builtin solids without support for textures

Builtin solids without support for textures#

See also: https://mathworld.wolfram.com/topics/Prisms.html

See also: https://en.wikipedia.org/wiki/Prism_(geometry)

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#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the files D01a_TriangularPrism.3D.xml (D01a-b).

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.

See also: https://mathworld.wolfram.com/TriangularPrism.html

See also: https://en.wikipedia.org/wiki/Triangular_prism

The example below uses the following code in C#

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

D01a_TriangularPrism.3D \(\quad\) D01b_TriangularPrism_Tilted.3D

Square prism#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the files D02a_SquarePrism.3D.xml (D02a-b).

See also: https://mathworld.wolfram.com/Cube.html

See also: https://en.wikipedia.org/wiki/Cuboid

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.

The example below uses the following code in C#

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

D02a_SquarePrism.3D \(\quad\) D02b_SquarePrism_Tilted.3D

Hexagonal prism#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the files D03a_HexagonalPrism.3D.xml (D03a-b).

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

See also: https://mathworld.wolfram.com/HexagonalPrism.html

See also: https://en.wikipedia.org/wiki/Hexagonal_prism

The example below uses the following code in C#

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

D03a_HexagonalPrism.3D \(\quad\) D03b_HexagonalPrism_Tilted.3D

Octagonal prism#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the files D04a_OctagonalPrism.3D.xml (D04a-b).

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

See also: https://mathworld.wolfram.com/OctagonalPrism.html

See also: https://en.wikipedia.org/wiki/Octagonal_prism

The example below uses the following code in C#

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

D04a_OctagonalPrism.3D \(\quad\) D04b_OctagonalPrism_Tilted.3D

Cylinder#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05a_Cylinder.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Cylinder

See also: https://en.wikipedia.org/wiki/Right_circular_cylinder

See also: https://mathworld.wolfram.com/Cylinder.html

The example below uses the following code 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);

D05a_Cylinder.3D

Cylinder, truncated by an inclined plane#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the files D06a_Cylinder_Tilted.3D.xml (D06a-b).

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.

See also: https://en.wikipedia.org/wiki/Cylinder

See also: https://en.wikipedia.org/wiki/Right_circular_cylinder

See also: https://mathworld.wolfram.com/Cylinder.html

The example below uses the following code 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);

D06a_Cylinder_Tilted.3D \(\quad\) D06b_Cylinder2CP.3D

Pyramid#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07a_Pyramid.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Pyramid_(geometry)

See also: https://mathworld.wolfram.com/Pyramid.html

The example below uses the following code 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);

D07a_Pyramid.3D

Pyramid frustum#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D08a_Frustum.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Frustum

See also: https://mathworld.wolfram.com/PyramidalFrustum.html

The example below uses the following code 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);

D08a_Frustum.3D

Pyramid, truncated by an inclined plane#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D09a_Frustum_Inclined.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Frustum

See also: https://mathworld.wolfram.com/PyramidalFrustum.html

The example below uses the following code 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);

D09a_Frustum_Inclined.3D

Cone#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D10a_Cone.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Cone

See also: https://mathworld.wolfram.com/Cone.html

The example below uses the following code 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);

D10a_Cone.3D

Cone Frustum#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D11a_ConeFrustum.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Frustum

See also: https://mathworld.wolfram.com/ConicalFrustum.html

The example below uses the following code 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);

D11a_ConeFrustum.3D

Cone, truncated by an inclined plane#

The XML code for the example below can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D12a_ConeFrustum_Inclined.3D.xml.

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.

See also: https://en.wikipedia.org/wiki/Frustum

See also: https://mathworld.wolfram.com/ConicalFrustum.html

The example below uses the following code 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);

D12a_ConeFrustum_Inclined.3D

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