Difference between revisions of "Strict Self-Assembly"
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(Created page with "Essentially, strict self-assembly means that tiles are only placed in positions defined by the shape. Note that if $X \in \mathbb{Z}^2$ strictly self-assembles, then $X$ [[Weak ...") |
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==Definition== | ==Definition== | ||
| − | A set $X$ ''strictly self-assembles''if there is a TAS $\mathcal{T}$ for | + | A set $X$ ''strictly self-assembles'' if there is a TAS $\mathcal{T}$ for |
which every assembly $\alpha \in \mathcal{A}_{\Box}[\mathcal{T}]}$ satisfies $\dom \alpha = | which every assembly $\alpha \in \mathcal{A}_{\Box}[\mathcal{T}]}$ satisfies $\dom \alpha = | ||
X$. | X$. | ||
Revision as of 21:13, 21 May 2013
Essentially, strict self-assembly means that tiles are only placed in positions defined by the shape. Note that if \(X \in \mathbb{Z}^2\) strictly self-assembles, then \(X\) weakly self-assembles. (Just let the subset of the tile set equal the tile set.)
Definition
A set \(X\) strictly self-assembles if there is a TAS \(\mathcal{T}\) for which every assembly \(\alpha \in \mathcal{A}_{\Box}[\mathcal{T}]}\) satisfies \(\dom \alpha = X\).
