Properties in two-dimensional lattice

Author:
Idan Tal

Properties in two-dimensional lattice

The applet presentsat two-dimensional lattice in which two toolbars can be used to change the numbers of the rows and the columns. One can drag each of the vertices of the basic quadrilateral, thus changing its sides, since the areas in each of the rows constitute an arithmetic progression, and similarly the areas of the columns. The common differences of the areas of the rows and the columns are shown on the screen. The screen also shows the connection between the distance between the mid-points of the external quadrilateral and the distance between the mid-points of the corner sub-quadrilateral (left corner top row).