PIEAS insignia is an embodiment of two mathematical visualisations.; a M�bius strip and a triangular surface.
The M�bius strip or M�bius band is a surface with only one side and only one boundary component.
The M�bius strip has the mathematical property of being non-orientable. It was discovered independently by the
German mathematicians August Ferdinand M�bius and Johann Benedict. If one were to travel along the
length of this strip, one would return to its starting point having traversed every part of the strip without
ever crossing an edge. The shape of the M�bius strip probably dates to ancient times. An Alexandrian manuscript
of early Alchemical diagrams contains an illustration with the visual proportions of the M�bius strip.
The Euler characteristic of the M�bius strip is zero.
The three arcs of the triangular surface,formed by three adjoining spheres, represent application, research
and knowledge. Research can be defined as the search for knowledge or any systematic investigation to
establish facts. The primary purpose for applied research is discovering, interpreting, and the
development of methods and systems for the advancement of human knowledge on a wide variety of scientific
matters of our world and engineering approaches to solve the problems.
The concept for the insignia was initiated by Dr. Abdullah Sadiq (former Rector PIEAS) and Dr. Anwar Majid Mirza. The computer visualization was made by Mr. Umar Faiz.
After evolutionary period, in which many people contributed and advanced the concept, the insignia in its present design was finally adopted.