Find the homothety of a geometric object
homothety(Q, P, k, O)
the name of the object to be created
number which is the ratio of the homothety
point which is the center of the homothety
In homothety, each point P of the set S of all points of unextended space is carried into the point P1 of S collinear with P and a fixed point O of space, and such that OP1OP=k, where k is a nonzero real number. Note that OP1, OP denote the sensed magnitudes of OP1 and OP.
For a detailed description of the object created Q, use the routine detail (i.e., detail(Q))
The command with(geom3d,homothety) allows the use of the abbreviated form of this command.
Define an icosahedron with center (0,0,0), radius of the circum-sphere 1
Construct a stellate (#10 in this example) of the given icosahedron
Apply homothety transformation to p2 with ratio 3, and o being the center of the homothety
draw⁡p2,p3,scaling=constrained,style=patch,lightmodel=light4,orientation=0,32,title=`homothety of a stellated icosahedron`
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