Carayannis and Campbell (2009; 2010) have argued for using quadruple and quintuple helices as models encompassing and generalizing triple-helix dynamics. In the meantime, quadruple and quintuple helices have been adopted by the European Committee for the Regions and the European Commission as metaphors for further strategy development such as in EU-programs in Smart Specialization, Plan S, Open Innovation 2.0, etc. Here we argue that the transition from a double helix to a triple helix can change the dynamic from a trajectory to a regime. However, next-order transitions (e.g., to quadruple, quintuple, or n-tuple helices) can be decomposed and recombined into interacting Triple Helices. For example, in the case of four helices A, B, C, and D, one can distinguish ABC, ABD, ACD, and BCD; each triplet can generate synergy. The triple-helix synergy indicator can thus be elaborated for more than three dimensions. However, whether innovation systems are national, regional, sectorial, triple-helix, quadruple-helix, etc., can inform policies with evidence if one proceeds to measurement. A variety of perspectives can be used to interpret the data. Software for testing perspectives will be introduced.

Carayannis 和 Campbell (2009; 2010) 主张使用四重和五重螺旋作为包含和概括三重螺旋动力学的模型。与此同时，四重和五重螺旋已被欧洲地区委员会和欧盟委员会用作进一步战略发展的隐喻，例如智能专业化的欧盟计划、S 计划、开放式创新 2.0 等。我们在这里争论从双螺旋到三螺旋的转变可以将动态从轨迹改变为状态。然而，下一阶转换（例如，到四重、五重或 n 元螺旋）可以分解并重新组合成相互作用的三重螺旋。例如，对于A、B、C、D四个螺旋，可以区分ABC、ABD、ACD、BCD；每个三胞胎都可以产生协同作用。因此，三螺旋协同指标可以针对三个以上的维度进行阐述。然而，无论创新系统是国家的、区域的、部门的、三螺旋的、四螺旋的等等，如果进行衡量，都可以为政策提供证据。可以使用多种观点来解释数据。将介绍用于测试透视图的软件。