Скачать или смотреть 4D Virtual Sculpture (3_12_220)

These generative sculptures are created by evolutionary algorithm and rendered with blender. The animation shows the effect of changing various rotational parameters in the equation.

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Use of the standard symmetry operations of rotation, translation, scaling and reflection in the creation of patterns and tilings is one of the most ancient decorative methods. While repeated application of symmetry operations leave a shape unchanged from an aesthetic standpoint, interleaving these operations with symmetry-breaking transformations can rapidly lead to visually complex forms. In the previous studies two dimensional coordinate transforms such as polar, inverse polar, and circle inversion were used exclusively as the symmetry breaking operations. In this paper these ideas are extended into three dimensions yielding virtual sculptures as the output.

As transformation sequences become longer and the outputs more complex, two artistic considerations need to be handled: sequence selection and visualization. Due to the combinatorial explosion of possible sequences exhaustive exploration quickly becomes impossible. While random generation of transformation sequences may generate interesting results, a better method is to use a directed search of the sequence space based on the aesthetic or novelty value of related sequences. One of the best methods for directing this type of search is an evolutionary algorithm. Additionally, working in three dimensions requires viewing the resulting objects from multiple points of view to yield a full understanding.





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