A closed-form deformation method lets users drag point handles on Escher tiles from all 17 wallpaper groups, updating both boundary and interior in real time while preserving tileability.
On the Complete Evaluation of Jacobi Theta Functions
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abstract
Using numerical, theoretical and general methods, we construct evaluation formulas for the Jacobi $\theta$ functions. Some of our results are conjectures, but are verified numerically.
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2025 1verdicts
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Escher Tile Deformation via Closed-Form Solution
A closed-form deformation method lets users drag point handles on Escher tiles from all 17 wallpaper groups, updating both boundary and interior in real time while preserving tileability.