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This page is a collection of various periodic lattice structures.

Steady lattices

As described in Programmed-Lattice Editor and accelerated processing of parametric program-representations of steady lattices.

BeCOTS lattices

BeCOTS: Bent Corner-Operated Tran-Similar Maps and Lattices.

Constant-radius BeCOTS lattices

As described in BeCOTS: Bent Corner-Operated Tran-Similar Maps and Lattices. These may have a low manufacturing cost. The beams are cylinders with the same radius, and the connectors with the same color are congruent and may be mass produced.

BeCOTS stacks

BeCOTS: Bent Corner-Operated Tran-Similar Maps and Lattices.

Filtered lattice

A periodic filtering function is used to procedurally remove some beams from a periodic lattice.

Lattice-in-Lattice (LiL)

Beams are procedurally removed from a fine, periodic lattice if one or both nodes (the balls that define a beam) do not interfere with a coarse lattice.

Constructive Lattice Geometry (CLG)

A generalization of Constructive Solid Geometry (CSG) to support modeling periodic structures.

Lattice-of-Lattice (LoL or Recursive CLG)

A beam in a CLG may be replaced with a new CLG.

FRep microstructures

Structures modeled using the techniques described in Procedural Function-based Modelling of Volumetric Microstructures and Multi-scale space-variant FRep cellular structures. The models are approximate distance fields and so are rendered via sphere tracing

FRep beams and nodes

Beams and nodes may be modeled using an implicit function-representation. I model the structures as approximate distance fields and render them via sphere tracing.

BeCOTS tessellation

A lattice may be tessellated using the method described in CHoCC: Convex Hull of Cospherical Circles and Applications to Lattices. A tessellation of a BeCOTS lattice may be stitched together as similar copies of a single tessellated hub.

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