The square gets sent to a rectangle circumscribing the ellipse. Thus range search becomes the problem of returning all rectangles intersecting the search rectangle. The same triangle forms half of a golden rectangle. Its shape is that of a rectangle topped by a triangle. The 8 Circle has eight blue circles arranged in a 2x4 rectangle. A triangle is constructed that has half the area of the left rectangle. A Fibonacci spiral starts with a rectangle partitioned into 2 squares. The large square is divided into a left and right rectangle. Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic. In a perfect (or imperfect) triangled rectangle the triangles must be right triangles. The convex hull of two opposite edges of a regular icosahedron forms a golden rectangle. We then attempt to tile the residual rectangle with "r"-by-"r" square tiles. Another construction produces a square with area equal to that of a given rectangle. High-frequency crystals are typically cut in the shape of a simple rectangle or circular disk. The home base may be a square, a rectangle, or a semicircle.