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Posted 11 Months, 4 Weeks ago
imported_Adrian
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graphgraph
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Is there a reason for calling something a tiling pattern versus a tessellation, or are they synonyms? Seems that the more 'prototypical' a figure, e.g. polyominoes, the more likely one is to say 'tiling'. Whereas Escher-type designs with recognisable figures like fish/birds are more likely to be called tessellations. Where, technically, is the distinction, if there is one?
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Posted 11 Months, 4 Weeks ago
paydayuscf
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Tessellation is a synonym for tiling.
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Posted 11 Months, 4 Weeks ago
jugherffere
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Good math-sociology question!

> or are they synonyms?

Seem to be, pretty much.

> Seems that the more 'prototypical' a figure, e.g. polyominoes, > the more likely one is to say 'tiling'. > Whereas Escher-type designs with recognisable figures like fish/birds > are more likely to be called tessellations.

Yep, good observation.

> Where, technically, is the distinction, if there is one?

There doesn't seem to BE one, as you observe. Seems to be a matter of taste in context.

It's a bit like the difference between a mapping and a function.

Or a set and a small class.

Or a multi-valued partial function and a relation...

_ _
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Posted 11 Months, 4 Weeks ago
iphwin
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About the same between the fiddle and violin.

They're the same (SFAIK) but one word sounds more high falutin.
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Posted 11 Months, 4 Weeks ago
quest_marsman
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There is a difference in common word usage: Tiling is on the whole plane or whole space. Tessellation is usually used for hyperbolic geometries of the unit disk ( in context).
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