Multiple Patch Surface(SM)


Purpose:  To cover a rectangular region with surface patches.

Card:

        SM  I1  I2   F1    F2    F3    F4    F5    F6    blank

            NX  NY   X1    Y1    Z1    X2    Y2    Z2


        A second card with the following format must immediately follow
        a SM card:


        SC           F1    F2    F3    F4    F5    F6    blank

                     X3    Y3    Z3


Parameters:

        Integers:
            NX    (I1)  \ The rectangular surface is divided into NX patches
                        | from corner 1 to corner 2 and NY patches from
            NY    (I2)  / corner 2 to corner 3.


	Decimal Numbers:
	    X1    (F1) \
	    Y1    (F2) | X, Y, Z coordinates of corner 1
	    Z1    (F3) /

	    X2    (F4) \
	    Y2    (F5) | X, Y, Z coordinates of corner 2
	    Z2    (F6) /





	    X3    (F7) \
	    Y3    (F8) | X, Y, Z coordinates of corner 3
	    Z3    (F9) /


Notes:

      o  The division of the rectangle into patches is as illustrated in
	 figure 6 "Rectangular Surface Covered by Multiple Patches".



      o  The direction of the outward normals ^n of the patches is determined
	 by the ordering of corners 1, 2, and 3 and the right-hand rule.  The
	 vectors ^t1 are parallel to the side from corner 1 to corner 2 and
	 ^t2 = ^n x ^t1.  The patch may have arbitrary orientation.

      o  If the sides between corners 1 and 2 and between corners 2 and 3 are
	 not perpendicular, the complete surface and the individual patches
	 will be parallelograms.

      o  Multiple SC cards are not allowed with SM.


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