In the textbook of

Polymer Physics

"rubber elasticity" is an important chapter linking the statistics of conformation of long-chain macromolecules and mechanical behaviors of polymer materials. In the current textbooks

rubber elasticity is introduced following the Rehner-Flory "four chains" model to present conformational entropy and contraction force of network of Gaussian chains by formulating entropy of single Gaussian chain in the first step and summing entropies of all Gaussian chains under assumption of affine deformation under constant volume in the second step. In general

the approximations and academic disputes involving the modellization are not referred to. Under the prevailing teaching practice

some students may believe that vulcanizates behave like network of Gaussian chains and some technicians may try to develop the so-called reversibly deformable flexible electronics by designing the so-called ideal network structure. Here reviewed are the modellization of network of Gaussian chains and the involved theories

approximations and disputes

aiming to point out that the network of Gaussian chains is only a model concepted under many assumptions and that the model cannot be used to describe the structure of vulcanizates.