The paper describes the method suitable for creating animated modular models of horns for mammals belonging to the Bovidae family. This method uses the time-dependent positioners. They are used in two ways: for placing modules appropriately to each other and for creating lateral surfaces of the modules. Thanks to double usage of the positioners, a continuous surface is achieved regardless of the complexity of the time-dependent parameters. There are considered different connections between parameters of modules, justified from the point of view of modeling the horns. The method is illustrated with the example of creation a time-dependent ram's horn model.
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