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gitbook/SUMMARY.md

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* [Historical Typologies](examples/historical-typologies/README.md)
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* [Barrel Vault](examples/historical-typologies/barrel-vault.md)
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* [Cross Vault](examples/historical-typologies/barrel-vault-1.md)
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* [Pillow Vault](examples/historical-typologies/pillow-vault.md)
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* [Pillow Vault](examples/historical-typologies/barrel-vault-2.md)
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* [Fan Vault](examples/historical-typologies/fan-vault.md)
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* [Advanced](examples/advanced/README.md)
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* [COMPAS Integration](examples/advanced/compas-integration.md)

gitbook/examples/historical-typologies/barrel-vault-1.md

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Download Rhino3D File:
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{% file src="../../.gitbook/assets/0_creases.zip" %}
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{% file src="../../.gitbook/assets/cross_vault.zip" %}
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## Create Pattern
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**Command:** `RV_force`
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<figure><img src="../../.gitbook/assets/barrel_vault_5.jpg" alt=""><figcaption><p>On the right side the force diagram is created with forces distribution shown in TextDots.</p></figcaption></figure>
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<figure><img src="../../.gitbook/assets/barrel_vault_5.jpg" alt=""><figcaption><p>On the right side, the force diagram is created with TextDots marking the angle deviation between the form edge and its 90-degree rotated force edge. The next step, horizontal equilibrium, will aim to reduce this deviation to zero.</p></figcaption></figure>
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## Horizontal Equilibrium
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**Command:** `RV_tna_horizontal` > `Iterations` > `1000`
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<figure><img src="../../.gitbook/assets/barrel_vault_6.jpg" alt=""><figcaption><p>After horizontal equilibrium is compute the force diagram collapses to the pattern on the left side.</p></figcaption></figure>
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<figure><img src="../../.gitbook/assets/barrel_vault_6.jpg" alt=""><figcaption><p>The horizontal equilibrium minimizes the angles as much as possible, aiming to bring them close to zero.</p></figcaption></figure>
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| ------------------------------------------------------------------------------------ | ----------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------------------------- |
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# Pillow Vault
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## Rhino Geometry
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Download Rhino3D File:
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{% file src="../../.gitbook/assets/pillow_vault.zip" %}
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## Create Pattern
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| -------------------------------------------------------------------------------- | ------------------------------------------------------------------------ | ---------------------------------------------------------------------------------------------------------------- |
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| <img src="../../.gitbook/assets/RV_pattern (2).svg" alt="" data-size="original"> | <p><strong>Rhino command name</strong></p><p><code>RV_pattern</code></p> | <p><strong>source file</strong></p><p><a href="../../../plugin/RV_pattern.py"><code>RV_pattern.py</code></a></p> |
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**Command:** `RV_pattern` > `RhinoMesh` > `Select a mesh`
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<figure><img src="../../.gitbook/assets/pillow_vault_0.jpg" alt=""><figcaption><p>The display of the Mesh input changes when the <code>RV_pattern</code> command is initiated.</p></figcaption></figure>
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## Identify Supports
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<table><thead><tr><th></th><th width="228"></th><th></th></tr></thead><tbody><tr><td> <img src="../../.gitbook/assets/RV_supports (2).svg" alt=""></td><td><p><strong>Rhino command name</strong></p><p><code>RV_pattern_supports</code></p></td><td><p><strong>source file</strong></p><p><a href="../../../plugin/RV_pattern_supports.py"><code>RV_pattern_supports.py</code></a></p></td></tr></tbody></table>
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**Command:** `RV_pattern_supports` > `Add`> `Manual`> `Select Vertices`> `Enter`
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<figure><img src="../../.gitbook/assets/pillow_vault_1.jpg" alt=""><figcaption><p>Select the strips of vertices on the two opposite sides of the Mesh.</p></figcaption></figure>
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## Form Diagram
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| ------------------------------------------------------------------------------------ | --------------------------------------------------------------------- | ---------------------------------------------------------------------------------------------------------- |
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| <img src="../../.gitbook/assets/RV_FormDiagram (1).svg" alt="" data-size="original"> | <p><strong>Rhino command name</strong></p><p><code>RV_form</code></p> | <p><strong>source file</strong></p><p><a href="../../../plugin/RV_form.py"><code>RV_form.py</code></a></p> |
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**Command:** `RV_form`\
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<figure><img src="../../.gitbook/assets/pillow_vault_2.jpg" alt=""><figcaption><p>The mesh geometry is converted to a line preview.</p></figcaption></figure>
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## Force Diagram
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| ------------------------------------------------------------------------------------- | ---------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------ |
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| <img src="../../.gitbook/assets/RV_ForceDiagram (1).svg" alt="" data-size="original"> | <p><strong>Rhino command name</strong></p><p><code>RV_force</code></p> | <p><strong>source file</strong></p><p><a href="../../../plugin/RV_force.py"><code>RV_force.py</code></a></p> |
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**Command:** `RV_force`
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<figure><img src="../../.gitbook/assets/pillow_vault_3.jpg" alt=""><figcaption><p>On the right side, the force diagram is created with TextDots marking the angle deviation between the form edge and its 90-degree rotated force edge. The next step, horizontal equilibrium, will aim to reduce this deviation to zero.</p></figcaption></figure>
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## Horizontal Equilibrium
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| -------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------ |
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| <img src="../../.gitbook/assets/RV_horizontal-eq (1).svg" alt="" data-size="original"> | <p><strong>Rhino command name</strong></p><p><code>RV_tna_horizontal</code></p> | <p><strong>source file</strong></p><p><a href="../../../plugin/RV_tna_horizontal.py"><code>RV_tna_horizontal.py</code></a></p> |
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**Command:** `RV_tna_horizontal` > `Iterations` > `1000`
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<figure><img src="../../.gitbook/assets/crpillow_vault_5.jpg" alt=""><figcaption><p>The horizontal equilibrium minimizes the angles as much as possible, aiming to bring them close to zero.</p></figcaption></figure>
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| ------------------------------------------------------------------------------------ | ----------------------------------------------------------------------------- | -------------------------------------------------------------------------------------------------------------------------- |
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| <img src="../../.gitbook/assets/RV_vertical-eq (1).svg" alt="" data-size="original"> | <p><strong>Rhino command name</strong></p><p><code>RV_tna_vertical</code></p> | <p><strong>source file</strong></p><p><a href="../../../plugin/RV_tna_vertical.py"><code>RV_tna_vertical.py</code></a></p> |
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**Command:** `RV_tna_vertical`&#x20;
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<figure><img src="../../.gitbook/assets/pillow_vault_6.jpg" alt=""><figcaption><p>Vertical projection to get 3D geometry.</p></figcaption></figure>

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