Below are two pictures from faculty research.

Contours of constant density in a heated subsonic jet at Mach 0.8, from direct numerical simulation. Flow is left to right with jet axis along lower boundary of figure.

For more information, contact JMU Mathematics Professor David Pruett.

For any parent tetrahedron ABCD, centroids of selected subtetrahedra form the vertices of an irregularly shaped space-filling truncated octahedron (abbreviated as ISTO) that is symmetric about the tetrahedron’s centroid.

Each edge of the ISTO is parallel to and 1/8-th the length of one of the edges of tetrahedron ABCD and the volume of the ISTO is 3/16-ths the volume of the tetrahedron. Each face is symmetric about a center and has an opposite face that is parallel and congruent. The area of the faces of the ISTO is not proportional to that of the generating tetrahedron.

For more information, contact JMU Mathematics Professor Robert Hanson.