The article discusses Web-based shape-modeling applications using HyperFun, a high-level programming language for specifying implicit surfaces. Researchers and developers increasingly use implicit surfaces and a more general function representation, or FRep for shape modeling and rendering. These techniques offer a compact mathematical description of complex shapes, natural blending and a rich system of other developed operations. The increasing number of applications highlights the need for methods and software tools for Web-based shape modeling. These applications include Web authoring, multi-user gaming, distance learning and data visualization, 3D retail environments in e-commerce and collaborative computer-aided design and engineering. Many of these application areas have proprietary data representations of shape, making sharing these shapes in collaborative projects a task for dedicated software with restricted distribution and applicability. Several well-known protocols for exchanging geometric data are based mainly on polygonal and parametric surface models, which are quite verbose.