Systems and methods for identifying asymptotes in approximated geometric forms are provided. One disclosed method includes identifying a set of data points that represent an approximated geometric form. The data points may be organized into segments. The method may further include determining a visible range of the geometric form to display. The method may further include looping through successive segments of the approximated geometric form, and on each loop, for a current segment, making a decision whether to draw the current segment based upon a prediction of whether the current segment traverses an asymptote within the visible range. The method may further include displaying on a graphical user interface of a computing device, a graph of the segments of the geometric form in the visible range, the graph not including those segments that were decided not be drawn.