Abstract: A rotary internal combustion engine comprises a four-segment hinged rotor assembly accommodated in a coaxial housing such that the rotor assembles deforms and continuously adapts to the housing internal profile during its rotation. The closed non-circular rotor housing internal profile is a curve defined by a novel mathematical relationship. The curve is the locus of all points generated by the base extremities A and B of an isosceles right angle translating and simultaneously rotating triangle with the following constraints. The center point P of the base AB (of length c) of the triangle must always be located on an inscribed circle of radius c/2 and center at point O. The vertex C of the triangle must always be located on one of the four lobes of the curve of the form r=sin(2&thgr;) where angle &thgr; is the angle between line OA and the positive vertical (y) axis and also line OB and the positive horizontal (x) axis.

Abstract: A rotar internal combustion engine comprises a four-segment hinged rotor assembly accommodated in a coaxial housing such that the rotor assembles deforms and continuously adapts to the housing internal profile during its rotation The closed non-circular rotor housing internal profile is a curve defined by a novel mathematical relationship The curve is the locus of all points generated b the base extremities A and B of an isosceles right angle translating and simultaneously rotating triangle with the following constraints The centre point P of the base AB (of length c) of the triangle must always be located on an inscribed circle of radius c/2 and centre at point O.