Interpolation and exponentially suppressed cosmological constant in non-supersymmetric heterotic strings with general <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> twists

We study general non-supersymmetric heterotic string models, including so-called interpolating $d$-dimensionally compactified with the arbitrary number of freely acting $\mathbb{Z}_{2}$ twisted directions. Taking limits radii to zero and infinity (the endpoint limits), we show some examples various interpolation patterns in $d=2$ (8-dimensional) case. In region where supersymmetry is asymptotically restored, derive formula for one-loop cosmological constant $(10-d)$ dimensional models twists, which does not depend on all other endpoints find out points moduli space exponentially suppressed. The stability also analyzed.