Spiders: A New User Interface for Rotation and Visualization of N-dimensional Point Sets

We present a new method for creating n-dimensional rotation matrices from manipulating the projections of n-dimensional data coordinate axes onto a viewing plane. A user interface for n-dimensional rotation is implemented. The interface is shown to have no rotational hysteresis. 1 Introduction Many techniques for visualizing n-dimensional data sets separate the data into its component dimensions, allowing the user to look at various coordinate combinations in a way that hopefully brings understanding. These methods do well at avoiding the traditional projection to two dimensions that hides data. However the data relationships are not immediately intuitive to our brains, which are used to transforming large amounts of information from three dimensional projections down to two. On the other hand, projection of n-dimensional information down to two may be slightly more intuitive, but suffers from the curse of data hiding due to projection. Moving the data in n-space, by predetermined m..