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In this paper, the effects of the antenna shapes on the indoor MIMO channel capacity are analyzed based on a rigorous numerical model. Based on network theory, we first give the rigorous MIMO channel transfer function using the admittance matrices of the transmitter and receiver, and the admittance matrix between them. Consequently, we use the multilevel Green's function interpolation method (MLGFIM) to solve for the input admittance matrices and the radiation patterns of the transmitter and the receiver and employ the ray tracing method to obtain the mutual admittance matrix between the transmitter and the receiver. Using this procedure, we rigorously analyze the channel capacity of a newly devised MIMO array system, i. e. the 20-by-20 icosahedron array MIMO. We also compare this system with a 20-by-20 planar array MIMO and find that the icosahedron array MIMO system can gain high MIMO channel capacity than the 20-by-20 planar array MIMO with relatively small effective volume size. This kind of system is suitable for indoor wireless communication environments.