Abstract Complex societal, environmental, and economic challenges are affecting the post-covid-19 societies. They must increasingly rely on multi-stakeholders’ multi-domain coalitions to find innovative solutions achieve sustainability transitions in near future. Triple helix model featuring interactions among academia, industry, government successfully explained collaboration technological inn...

Approximation of helices has been studied by using in many ways. In this study, it examined how a circular helix can be written as Bezier curve and the 3th degree, 5th 7th degree Maclaurin series expansions for polynomial forms. Hence, they cubic, order, order curves, based on control points with matrix form we have already given E3. Further coefficients expansion helix.