The Möbius Strip


 

The Möbius Strip was discovered in 1858 by German mathematician and astronomer August Ferdinand Möbius (1790-1868). The mathematical equation is known as The Möbius Transformation, also known as bilinear transformation or linear fractional transformation. (Webster's dictionary:" A map of the complex plane to itself in which a point "z" is mapped to a point "w" by w=(az+b)/(cz+d), where a,b,c, and d are complex numbers and ad-bc does not equal zero.") It is a continuous loop with one surface and one edge formed by twisting one end of a long, thin rectangular strip 180 degrees (1/2 twist) and attaching this end to the other. 

This fascinating shape expresses Transformation. Today the Möbius Strip has been chosen as the Universal symbol of recycling.recycle.gif (1230 bytes) It represents the process of transforming waste materials into useful resources. On a personal level, the Möbius strip represents a willingness to move WITH the constantly changing cycles in our Life process, transforming our challenges into useful solutions. The Möbius Strip reveals planetary transformation,as well. Historically, there has always been Earth
changes,i.e. natural re-structuring of land and ocean masses, tide changes, weather changes, seasonal changes, etc. The Möbius Strip shape is symbolic of eternal change within stillness itself.

paperstrip.gif (4506 bytes)PAPER WITH ONLY ONE SURFACE! Take a 12" strip of paper (1" wide) and twist one end 180 degrees. Tape the ends together. You have a Möbius Strip! Start drawing a pencil line all around, from the inside to the outside and back where you started. You'll find you never lifted the pencil off the paper and yet the one surface has a complete line through it. The inside becomes the outside and the outside becomes the inside. There's only one side!

 

The Möbius Strip is an expression of non-duality. It reveals the Unity of all polarities, creating a state of Oneness, joining the whole and the part, the masculine and the feminine, expansion and contraction, spirit and matter, etc. Everything is One and nothing can be separated from anything else. All is completely intertwined, infinitely. The Möbius Strip is a spiritually significant symbol of balance and union. (Yoga=Union) The Buddhist philosophy of Tantrism also is expressed by the Mobius Strip shape. "Tantra" is continuity; the word derived from the root 'tan', meaning to extend... extend continuously, to flow, to weave. The continuum is descriptive of the Nature of Reality, by contemporary physicist David Bohm..."a single unbroken wholeness in flowing movement."
                                                                                                             
                                                                                  

To learn more about the Möbius Strip, read "The Mobius Transformation", and
"The Double Mobius:  Interdependence" by John  Galleher. 

 
For another perspective, view a Moebius Strip presentation movie,
click to http://www.drastic-creations.com/projects/mobius/