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The author Parker Palmer has written a wonderful book called A Hidden Wholeness: The Journey Toward An Undivided Life (San Francisco: Jossey-Bass, 2004). He uses the metaphor of the Mobius strip to better understand how we can live in the world.
Another way to think of wholeness involves holistically taking care of all that you are: body, mind, and spirit. This is the philosophy behind Kimberley Beyer-Nelson's The Little Book of Wholeness and Prayer (Boston: Skinner House, 2002) which uses prayer to foster wholeness.
Many Unitarian Universalist, when thinking of wholeness in our faith community, think about the work of the Journey Towards Wholeness. This initiative to develop ant-racist, anti-oppressive ways of being in the world resulted in a report by the UU Racial and Cultural Diversity Task Force.
For a video example of how to make a Mobius strip check out this YouTube video. It shows not only how easy it is to make one, but also some interesting experiments that you can do with one.
Clifford Pickover has also written a book on the Mobius strip called The Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology and Cosmology. A partial preview of the book is available online at Google Books.