Double Cusp

Double cusp It is common experience that milk pot shows beautiful double cusp. It is formed by parallel or nearly parallel rays. These rays get reflected on the cylindrical surface. The bundled rays shows white cusp pattern on the surface of milk. In this applet the rays in the form of vectors are shown when number of rays is small. Thereafter only lines are shown. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com Construction – This is done in GeoGebra. A semicircular arc is drawn. Hatching is drawn by taking a sequence of points at 5o interval on arc and drawing small line segments at 45o . from these points. Sequence of number of rays starting from a point on right and meeting mirror is drawn. The normal to mirror is drawn at each point. The reflected rays are now drawn. Number of rays is taken to be small to start with, for user to see and understand the reflection. Number now is increased to get beautiful cusp pattern. Sequence command is back-bone of this construction. Address your queries to vasantbarve@gmail.com Dr Vasant Barve, 11 September 2014, Created with GeoGebra