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HyperspaceExplorer 0.7.1
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HyperspaceExplorer 0.7.1
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A class template to execute taper actions on an object. More...
#include <Taper.h>
Public Member Functions | |
| Taper (const VertexData< D > &v) | |
| Create a Taper object from an already existing object. | |
A class template to execute taper actions on an object.
The vertex array of the object is tapered into a set of consecutive dimensions.
As I find the concept hard to explain in words, let me give a few examples to illustrate the idea:
Extrude<4, 0, 0> line;
A line in four-space. A point is extruded along dimension 0 (x ).
Taper<4, 1, 1> triangle(line);
An equilateral triangle in the xy -plane. The line along x is tapered into the y dimension.
Taper<4, 2, 2> tetrahedron1(triangle);
Create a tetrahedron from an equilateral triangle by tapering along the z axis.
Taper<4, 1, 2> tetrahedron2(line);
Create another tetrahedron from a line by tapering it into the dimensions 1 to 2, ie. along y and z
Extrude<4, 0, 1> square; Taper<4, 2, 2> pyramid(square);
A four-sided pyramid is created by tapering a square along the z axis.
Taper<4, 1, 3> pentachoron(line);
A four-dimensional simplex, a pentachoron, is created by tapering a line three times.
| D | Dimension of the vector space we're working in |
| Dmin | First of the set of dimensions being tapered into |
| Dmax | Last of the set of dimensions being tapered into |
| Taper< D, Dmin, Dmax >::Taper | ( | const VertexData< D > & | v | ) | [inline] |
1.7.4
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