Find the space homology of a geometric object
homology(Q, P, K, O, theta, l )
the name of the object to be created
a geometric object
ratio of the homothety
center of the homothety
angle of rotation
the axis of rotation
A space homology is the product of a homothety and a rotation about an axis passing through the center of the homothety.
For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))
The command with(geom3d,homology) allows the use of the abbreviated form of this command.
Define a tetrahedron with center (0,0,0), radius of the circum-sphere 1
Apply a homology transformation to p1 with ratio 3, center of the homothety ctr, and rotation Pi/2 about the z-axis.
Plot the original tetrahedron and the result of the homology:
draw⁡p2,p1,scaling=constrained,style=patch,transparency=0.7,orientation=0,32,title=`homology of a tetrahedron`
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