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CamToCam1
2D/3D

CamToCam1[cnum, locuspoint1, {alpha, guess}, locuspoint2, {beta, guess}] models two cam profiles that work against each other.
• The locus of locuspoint1 defines the first cam surface as a function of the symbol alpha, while the locus of locuspoint2 defines the second cam surface as a function of the symbol beta. (locuspoint1 and locuspoint2 must be defined as functions of alpha and beta.)
CamToCam1 enforces that the surfaces of the two cam profiles lie tangent to each other.
• In Modeler3D, two {symbol, guess} pairs must be provided in place of {alpha, guess}, and two more in place of {beta, guess}.
CamToCam1 constrains one degree of freedom.

• In Modeler3D, each locuspoint is a parametric function of two parameters, so as to define a surface in 3D space.
CamToCam1 generates three (2D) or five (3D) constraint equations and introduces two or four new variables, hence constraining one degree of freedom in 2D or 3D.
• The first two (or three) equations constrain the points of contact on the two cams to be coincident, and the last one (or two) equation constrains the normal vectors of the two cams at the points of contact to be parallel, yielding three or five constraint equations.
• See also:
CamToPoint1, CurveToCam1, SetConstraints, SysCon.


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