Polymorphic Information Processing in weaving computation: An approach through cloth geometry

This report extends the scope of computation with a non standard × to the more basic case of a non standard +, where standard means associative and commutative. Two physically meaningful examples of a nonstandard + are provided by the observation of motion in Special Relativity, from either outside (3D) or inside (2D or more), We revisit the “gyro”-theory of Ungar to present the polymorphic information processing which is created by cloth geometry, a relating computational construct framed in a normed vector space, and based on a non standard ◦ + whose commutativity and associativity are ruled (woven) by a relator.