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Backbone-assisted assembly from a small set of tiles

Paper Authors:

Jeremy Guntoro,

Thomas Ouldridge

Bullets

Key Details

Backboned assembly models can reliably construct a wide variety of shapes using a small, finite tile set

This capability arises from both the sequence specification and geometric constraints imposed

Specifying just a sequence, without a backbone's geometric constraints, does not enable finite universal construction

The models aim to explore general principles behind advantages of backbone-assisted assembly seen in biology

AI generated summary

Backbone-assisted assembly from a small set of tiles

This paper explores how a backbone constraint allowing only sequential, local binding of tiles facilitates reliable assembly of many distinct shapes from a small tile set. The authors develop abstract computational models incorporating backbones for comparison to unconstrained binding models. A backbone combined with a assembly sequence enables finite 'universal' tile sets that can build any shape, unlike unconstrained models. Surprisingly, specifying just a sequence without a backbone does not share this capability, despite the sequence space growing faster than the shape space.

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