Homothety in the plane

See Section 27.12.5 for homotheties in space.

A homothety is a dilation about a given point. The homothety command creates a homothety.

homothety takes two mandatory arguments and one optional argument:
- P, a point (the center of the homothety).
- r, a number (the scaling ratio).
- Optionally, G, a geometric object.
homothety(P,r) returns a new command which dilates about P by a factor of r. If r is complex, this will rotate as well as scale.
homothety(P,r,G) returns and draws the dilation of G about P by a factor or r.

h:=homothety(i,2); h(square(1-2i,2+i))

or:

homothety(i,2,square(1-2i,2+i))