Carpets (Foldables 4)

The last (for now) example in this series of bifoldable designs is a woven carpet. Will create a doubly periodic polyhedron that consists of the Miura tubes below (which are almost 50 years old!).MiuraTube

We begin with a corner type we call Double L

MiuraWeave 1

Four copies of it (using reflecions) can be combined into a translationa fundamental piece like so:

MiuraWeave 2

The tubes (of double length) emerge when we replicate this piece several times in both directions:

MiuraWeave 3

Above is its most symmetric state. This carpet does not need to be rolled, it can be squeezed in both of its translational directions, as below:MiuraWeave 4

So you can push this Miura Carpet to any of the four sides of a room.

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