Visualising Transformations in 3D

Now that we have familiarised ourselves with transformations in two dimensions, let’s now deal with 3D transformations. In 3D, matrices operate on column vectors consisting of three basis vectors, so the matrices must be 3x3 in size. Play with the rotation, scaling, and skew sliders, and notice that the resulting matrix for whichever transformation you have last updated is:

1	0	0
0	1	0
0	0	1

If you apply multiple transformations, then the net tranformation is given by:

1	0	0
0	1	0
0	0	1

Rotation

Select Axis:

Select Angle: 0π -2π 2π

Scaling

Select Axis:

Select Scale: 1x 0.5 2

Skew

Axis: Relative to:

Select Angle: 0π radian 0 π/4