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Nowadays, the Internet provides a convenient medium for sharing complex 3D models online. However, transmitting 3D progressive meshes over networks may encounter the problem of packets loss that can lead to connectivity inconsistency and distortion of the reconstructed meshes. In this paper, we combine reliable and unreliable channels to reduce both time delay and mesh distortion, and we propose an error-concealment scheme for tolerating packet loss when the meshes are transmitted over unreliable network channels. When the loss of connectivity data occurs, the decoder can predict the geometry data and mesh connectivity information, and construct an approximation of the original mesh. Therefore, the proposed error-concealment scheme can significantly reduce the data size required to be transmitted over reliable channels. The results show that both the computational cost of our error-concealment scheme and the distortion introduced by our scheme are small.