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Geometry & Structure · 06
The Primer  /  Chapter 06

Geometry & Structure

Describing, refining and standing up form — an overture on representations, then distance fields, iso-surfaces, meshes, subdivision, panelization, soap-film minimal surfaces, load paths and form-finding.

An overture + 8 sections + a bonusEvery idea is yours to move
0.
Representations of Geometry
The overture — the computer never sees the shape, only an encoding. Lenses, costs, and translations.
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i.
Signed Distance Fields
A shape described by how far away it is.
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ii.
Iso-Surfaces
Pulling a shape out of a field.
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iii.
Meshes & Relaxation
Surfaces that settle into shape.
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iv.
Subdivision
A coarse cage, refined to silk.
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v.
Panelization
Cutting a surface into buildable pieces.
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vi.
Minimal Surfaces
The geometry of soap films.
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vii.
Topology & Load Paths
Pieces, holes, and the structure you didn't draw.
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viii.
Form Finding
Shapes drawn by equilibrium.
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Bonus
Origami
A flat sheet that remembers how to be a structure.
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