diff --git a/Scale.md b/Scale.md index 71ea735..aa05e73 100644 --- a/Scale.md +++ b/Scale.md @@ -15,5 +15,23 @@ Scales a list of locations or vectors by a number. *** ## Effect of direction vector on scaling +With scaling factor = 1 + +Scaling|Direction Vector +---|--- +all points move to the center|0, 0, 0 +no scaling|1, 1, 1 +scaling by a factor of 2|2, 2, 2 +scaling by a factor of 2 in the x-direction|2, 1, 1 +scaling by a factor of 2 in the y-direction|1, 2, 1 +scaling by a factor of 2 in the z-direction|1, 1, 2 +shrinking by a factor of 2|1/2, 1/2, 1/2 +shrinking by a factor of 3|1/3, 1/3, 1/3 +scaling by a factor of a, b, c in the x-, y- and z-direction|a, b, c + +Note that the scaling factor just multiplies all the scalings applied by the direction vector. Using a scaling factor of 2 and a direction vector of 1, 2, 3 is the same as using a scaling factor of 1 and a direction vector 2, 4, 8. + +*** +