Pneumatic structure and associated production method

A pneumatic structure including an inextensible body defining at least one network of internal cavities, every cavity having a closed contour in at least one section of the cavity,

• every cavity being suitable for being pressurized so as to change the inextensible body from a rest configuration to at least one pressurized configuration,
• the inextensible body having, in every pressurized configuration, a macroscopic metric different from the macroscopic metric thereof in the rest configuration,
• the inextensible body having, in every pressurized configuration, a Gaussian curvature different from the Gaussian curvature in the rest configuration thereof,
• every cavity being formed from at least two substantially rectilinear channels, every channel being fluidically connected to at least one of the other channels, the two said channels forming a direction changing angle (χ, χ′),
• every cavity comprising at least one non-zero direction changing angle (χ, χ′), in particular at least three non zero direction changing.