ShearingTransform[\[Theta], v, n] gives a TransformationFunction that represents a shear by \[Theta] radians along the direction of the vector v, normal to the vector n, and ...

Tuples[list, n] generates a list of all possible n-tuples of elements from list. Tuples[{list_1, list_2, ...}] generates a list of all possible tuples whose i\[Null] ...

Scaled[{x, y, ...}] gives the position of a graphical object in terms of coordinates scaled to run from 0 to 1 across the whole plot range in each direction. Scaled[{dx, dy, ...

Minimization and maximization. Minimize and Maximize yield lists giving the value attained at the minimum or maximum, together with rules specifying where the minimum or ...

ArrayFlatten[{{m_11, m_12, ...}, {m_21, m_22, ...}, ...}] creates a single flattened matrix from a matrix of matrices m i j. ArrayFlatten[a, r] flattens out r pairs of levels ...

CellularAutomaton[rule, init, t] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition init for t steps. ...

GraphicsComplex[{pt_1, pt_2, ...}, data] represents a graphics complex in which coordinates given as integers i in graphics primitives in data are taken to be pt_i.

Text[expr] displays with expr in plain text format. Text[expr, coords] is a graphics primitive that displays the textual form of expr centered at the point specified by ...

Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...

PolyhedronData[poly, " property"] gives the value of the specified property for the polyhedron named poly.PolyhedronData[poly] gives an image of the polyhedron named ...