The paper takes a view on different solutions for rotary engine, such as Mallory and Kaeurtz engine, focusing on Wankel engine. For this one is presented the mathematical background used at inner stator curve, based on peritrochoid or epicycloid curve. The authors makes a cinematic analysis for a triangular rotor, using Autodesk Inventor, in conjunction with a two lobs curve at stator. It is mention another case for a rotary machine, with a rectangular rotor which runs in a curve with three lobs, that can be applied at compressors. The study goes further with a similar analysis for a rotary engine with a pentagonal rotor, which rolls in peritrochoid with four lobs. The simulations allows a comparative study between triangular and pentagonal shape rotor, emphasis the influence of constructive parameters on the expected efficiency of the engine. As a main conclusion the last solution is an interesting application that can be further developed for an experimental engine.