Creates a mesh in a shape defined by parametric math expressions.
This node creates a mesh whose vertex positions and texture mapping are defined by a set of math expressions. The expressions can use the variables u and v. This node calculates each expression for evenly spaced values of u and v ranging from 0 to 1. Each calculation becomes a vertex in the resulting mesh.
Time— The time at which to calculate the expressions. (This only affects the output if the
timevariable (with a lower-case “t”) is used in the expressions.)
Z Expression— The math expressions for the (X,Y,Z) position of each vertex. Typically, the values of
X Expressionshould increase as u increases, and the values of
Y Expressionshould increase as v increases. (Otherwise, the triangles that make up the mesh may be facing backwards, which means they won’t be drawn.)
V Expression— The math expressions for the texture coordinate of each vertex. This defines how an image or other texture will be stretched across the mesh when the mesh is combined with a shader to create a 3D scene object. Typically, the values of these expressions should fall between 0 and 1, and should either always increase or always decrease, as u and v range from 0 to 1.
Columns— Each of the above expressions is calculated for
Rowsnumber of values of u and
Columnsnumber of values of v. The total number of vertices in the mesh is
rows X columns.
V Closed— If true, then the mesh surface will wrap around from the vertices calculated for u=1 or v=1 to the vertices calculated for u=0 or v=0. If false, then either the mesh surface won’t wrap around or, if the math expressions do cause it to wrap around, any 3D scene object created from the mesh may have a visible seam.
The math expressions can use numbers, operators such as + and -, functions such as sin(u) and log(u), and the constant PI. For a complete list of the operators and functions available, see the
vuo.math.calculate) node’s description.
For help understanding the math used by this node, see Introduction to parametric equations and Introduction to parametrizing a surface with two parameters.
Keywords: expression, grid, math, plane, shape, surface