Abstract
This paper introduces an approach for the geometric modeling of advanced cellular structures, characterized by their stochastic, conformal nature, and the ability to transition between multiple topologies. Utilizing a function representation-enhanced topological skeletal graph methodology, this approach enhances computer-aided design by encapsulating complex geometries and parameters within a versatile function representation framework. The novelty of this work lies in its operationalization through LatticeQuery, an open-source software, which demonstrates versatility in modeling stochastic cellular structures, ensures smooth topology transitions, and supports the design of conformal cellular structures. This exploration not only validates the potential of the introduced methodology but also opens new avenues in the design of cellular structures with intricate geometries and variable properties, catering to a wide range of industrial applications.
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