8 point Circle

While 9 point Circle is a celebrated idea and has been known for quite some time. The 8 point circle is less than 70 years old. To draw this we need a quadrilateral whose diagonals are mutually perpendicular. The 4 points are the mid points of the quadrilateral and the other 4 points are obtained by drawing perpendiculars from these mid points to opposite sides. Notice that all eight points lie on our special quadrilateral.