Data Structure 2D Display Math

<aside> 💡 preference

• display_ fancy wires
• only draw preview geometry for selected objects
• ctrl shift drag: transit connection between components
• lock solver, before drag in heavy GH definition
• change canvas color: https://james-ramsden.com/change-the-colour-of-the-grasshopper-canvas/
• ctrl + shift drag all cable and move all at once
• hold shift, drag scribble, rotate the text
• for listing component: right click and match outputs
• Ctrl+B: send component to back of draw order (and will be calculated first)
• Ctrl+F: send component to front of draw order (and will be calculated later) </aside>

<aside> 💡 plug-ins

pufferfish

mesh edit 1 & 2

weaverbird

paneling tools http://www.grasshopper3d.com/group/panelingtools

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<aside> 💡 geometry

Unit-04-Class.gh

Unit-04-Class+R5.gh

mesh: http://grasshopperprimer.com/en/1-foundations/1-6/1_What is a Mesh.html

mesh vs. NURBS: http://grasshopperprimer.com/en/1-foundations/1-6/2_Understanding Topology.html BREP: https://www.grasshopper3d.com/forum/topics/how-to-make-a-brep internalize data: refer to rhino geometry and right click internalize in GH

<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to select geometry (index geometry) Geometry relations translate to numbers then use Equality to pick and choose then Dispatch (can attach toggle to ctrl)

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! mesh faces (quadrangle, triangle…) are not surface! they are more like an area defined by corners, corners are not points, they are indexes of points > they can be used as index to extract item (list item)

<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> different ways of populating points

1. populate 2D
2. populate 3D (limit to box, on and inside of geometry)
3. populate geometry (unlimited by geometry, on the face of the geometry)

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to make any boundary voronoi (since voronoi is limited to rectangular boundary) populate geometry/ populate 3D

voronoi 3D solid intersection

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data tree_ grid_ graft.gh

1.6.3_creating meshes.gh

http://grasshopperprimer.com/en/1-foundations/1-6/3_Creating Meshes.html

https://flexbooks.ck12.org/cbook/ck-12-precalculus-concepts-2.0/section/5.5/primary/lesson/frequency-and-period-of-sinusoidal-functions-pcalc/

• sin function explained Asin(xf/π)
• f/π f自身带π

<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to move in direction with mathematic function Vector Math(+-x/) Move(T, vector) Direction Amplitude Direction+ Amplitude vector display can visualize direction

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to make select from a group points the ones on the boundary convex hull (get the indices as index) list item (indices to index, points to lists) how to populate the points within the boundary populate 2D

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to reorient each subdivided surface to a point

sunflower orientation.gh

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<aside> 💡 deconstruct / evaluation

<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> deconstruct mesh: vertices, face, color, normal

<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> deconstruct faces: corners

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to show mesh faces as surfaces (face surface transition): deconstruct mesh (get faces and vertices)

deconstruct face (get corners as index) list items (use index to select vertices) 4point surface (rebuild surfaces from selected vertices)

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> deconstruct brep

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> deconstruct box ! boxes are plane based forms, plane + x, y, z domains

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> how to color base on vertices direction deconstruct mesh (get normal)

angle (get angle relative to x/y/z axis) gradient (angle-t, pi-L1) mesh colors

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<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> faces, edges, vertices item level manipulation: same location item at each branch getting manipulated at the same action

faces_edges_vertices.gh

<aside> <img src="/icons/forward_gray.svg" alt="/icons/forward_gray.svg" width="40px" /> faces: paneling

1. extrude z axis
2. extrude normal
3. offset surface (pufferfish)

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<aside> <img src="/icons/forward_gray.svg" alt="/icons/forward_gray.svg" width="40px" /> edges ! curve / line direction

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<aside> 💡 morph, things to consider:

• Structure Geometry, getting panelized item level manipulation: same location item at each branch getting manipulated at the same action

<aside> <img src="/icons/forward_purple.svg" alt="/icons/forward_purple.svg" width="40px" /> Unit Geometry, getting indexed by a bounding box

1. make a bounding box >reference
2. manipulate the form before plug into geometry (for central anchor only) </aside>

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