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<h4 class="subsection">2.7.3 Nested sweeps</h4>

<p>When the center point of rotation is omitted,
<a name="index-center-of-rotation-121"></a><a name="index-rotation_002c-center-of-122"></a>the origin is assumed. 
When a point has only two coordinates, they are taken as
x&nbsp;and y,&nbsp;with z=0 assumed.  A toroid
<a name="index-toroid-123"></a>is therefore obtained with this code. 
<a name="index-def-124"></a><a name="index-sweep-125"></a><a name="index-rotate-126"></a>
<pre class="verbatim">  def n_toroid_segs 20   def n_circle_segs 16
  def r_minor 1          def r_major 1.5
  sweep { n_toroid_segs, rotate(360 / n_toroid_segs, [0,1,0]) }
    sweep { n_circle_segs, rotate(360 / n_circle_segs, (r_major,0,0)) } 
      (r_major + r_minor, 0)
</pre>

   For intuition, the idea of the code is to sketch a circle to the right
of the origin in the xy-plane, then rotate that circle &ldquo;out of
the plane&rdquo; about the y-axis to make the final figure.  This
produces the following.  (A view rotation and some axes have been
added.)

<div align="center"><img src="ex090.png" alt="ex090.png"></div>

   <p>This example also shows that the swept object may itself be another
<code>sweep</code>. 
<a name="index-sweep-127"></a><a name="index-nesting_002c-swept-object-128"></a>In fact, it may be <em>any</em> <code>sketch</code> expression that results in
a list of one or more points or, alternately, a list of one or more
polylines and polygons.  The latter kind of list can be created with a
<tt>{ }</tt>-enclosed block, perhaps following a
<a name="index-put-129"></a><tt>put</tt> or
<a name="index-repeat-130"></a><tt>repeat</tt>. 
<a name="index-g_t_0040_007b-_0040_007d_0040r_007b_002c-block-drawable_007d-131"></a>

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