hyperboloid.inx

<?xml version="1.0" encoding="UTF-8"?>
<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
  <_name>Hyperboloid Templates</_name>
  <id>org.lauj.inkscape_sliceforms_hyperboloid</id>

  <dependency type="executable" location="extensions">hyperboloid.py</dependency>

  <param name="tab" type="notebook">
    <page name="options" gui-text="Options">
      <param name="units" gui-text="Units" type="optiongroup">
	<option value="mm">mm</option>
	<option value="cm">cm</option>
	<option value="in">in</option>
      </param>

      <param name="outer_edge_radius" type="float" precision="2"
	     min="0.1" max="10000"
	     gui-text="Outer edge radius (top and bottom, widest points)">60</param>
      <param name="outer_waist_radius" type="float" precision="2"
	     min="0.1" max="10000"
	     gui-text="Outer waist radius (middle, narrowest point)">30</param>
      <param name="inner_radius" type="float" precision="2"
	     min="0.1" max="10000"
	     gui-text="Inner radius (middle, narrowest point)">20</param>
      <param name="height" type="float" precision="2"
	     min="0.1" max="10000"
	     gui-text="Height">60</param>
      <param name="num_slices" type="int"
	     min="1" max="1000" gui-text="Number of slices in each direction">18</param>
      <param name="material_thickness" type="float" precision="2"
	     min="0.1" max="5" gui-text="Thickness of material">.25</param>
      <param name="material_width" type="float" precision="2"
	     min="0.1" max="10000" gui-text="Width of material">203</param>

    </page>
    <page name="help" gui-text="Help">
      <param name="help_text" type="description"
	     xml:space="preserve">Generate sliceform templates for a hyperboloid of one sheet.

Recommended settings:

  outer edge radius: 60 mm
  outer waist radius: 30 mm
  inner radius: 19.74 mm
  height: 60 mm
  slices: 18
  (60° corners)

  outer edge radius: 59.55 mm
  outer waist radius: 35 mm
  inner radius: 25.80 mm
  height: 59.55 mm
  slices: 20
  (72° corners)

"corners" are where slices meet at the model's outer edge.

For N° corners, set outer_edge_radius to outer_waist_radius / sin(N° / 2). To make the slices end at each corner, 360 must by evenly divisible by N°, and the number of slices must be evenly divisible by (360 / N°).

Setting the height to (1.25 * outer_edge_radius) works well.

There is no assembly video for this model, but the process is similar to the cylinder model: https://www.youtube.com/watch?v=QfBc0fR64EQ
      </param>
    </page>
  </param>

  <effect>
    <object-type>all</object-type>
    <effects-menu>
      <submenu _name="Sliceforms" />
    </effects-menu>
  </effect>
  <script>
    <command reldir="inx" interpreter="python">hyperboloid.py</command>
  </script>
</inkscape-extension>