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3.2.6 Sweeps

Syntax:

     sweep { n, T_1, T_2, ..., T_r }[options] swept_object
     sweep { n<>, T_1, T_2, ..., T_r }[options] swept_object

The sweep connects n (or perhaps n+1) copies of swept_object in order to create a new object of higher dimension. The T_i (for i between 1 and r) are transforms. The k'th copy of swept_object is produced by applying the following transform to the original.

     T_1^k then T_2^k then ... then T_r^k

Here T^k means “transform T applied k times.” The original object is the zero'th copy, with k=0 and effectively no transform applied (T^0=I, the identity transform).

The method of connecting the copies depends on the type of swept_object and on whether the closure tag <> is present or not.

An example of a sweep where r=2 is the Mobius figure at More to learn.

• Swept points: Swept points make lines or polygons.
• Swept lines: Swept lines make open or closed surfaces.
• Swept polygons: Swept polygons make closed surfaces.
• Swept blocks: Swept block == block of sweeps.
• Sweep face splitting: Fixing warped faces with triangles.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.