# life: drawing with water waves.

<< The deterministic reproduction of complex 3D wave fields remains a significant challenge in ocean engineering. This (AA) study proposes a novel methodology for drawing arbitrary 2D curves and 3D volumetric shapes on a water surface using transient multi-directional focused waves. >>

<< To overcome the limitations of conventional discrete-point focusing methods, (Their) framework integrates Bézier curve parametrisation, equal arc-length sampling, and an Iterative Amplitude Correction (IAC) algorithm. This effectively mitigates wave height overshoot and enables precise spatial superposition of spectral components. >>

<< The method's effectiveness was validated through linear wave theory and Smoothed Particle Hydrodynamics (SPH) simulations, successfully reproducing 2D characters and a 3D human face. Physical experiments in the FloWave circular wave basin further demonstrated target shape generation, such as a 2D star and 3D pyramid. Although further integration of nonlinear wave theories is necessary for high-amplitude accuracy, this technique establishes a deterministic methodology for creating arbitrary 2D and 3D surface geometries. It represents a significant advantage in wave field control for ocean engineering applications. >>

Taiga Kanehira, James Steer, Laura-Beth Jordan, et al. Drawing with water waves. arXiv: 2607.13691v1 [physics.flu-dyn]. Jul 15, 2026.

https://arxiv.org/abs/2607.13691

Also: waves, in https://www.inkgmr.net/kwrds.html 

Keywords: waves