The present invention is related to a hexagonal block and its stand consistent of various three-dimensional blocks and each of the blocks including one to multiply hexagonal elements constituted by multiply layers of connection in horizontal and vertical directions. Thereby the same blocks can be stacked in either vertical direction in accordance with the corresponding stand with a recess or horizontal direction in accordance with a switched stand with a recess. The blocks are in hexagonal forms at a fixed quantity such that a stacking sequence is required to complete a three-dimensional assembly without vacancy. Therefore certain difficulty is included in order to achieve the training of logic thinking.