To address the directional requirements of underground engineering shafts, the quadrilateral connection method is used to achieve shaft orientation, and the influence of quadrilateral shape on directional accuracy is studied. Determine a symmetrical quadrilateral using one angle and one edge, and evaluate the accuracy of the network using indirect adjustment. Calculate the accuracy of directional edges by writing a program to traverse conditional angles and edges, draw contour lines, and analyze the optimal shape of the quadrilateral connection method. This study can be applied to underground engineering shaft orientation.