"The Mystic Spiral: Journey of the Soul"

In Hearing Shofar: The Still Small Voice of the Ram's Horn, Chapter 3-13, "I invoke the concept of 'spirality' in our study of spirituality because the mathematics expressed by the curve of a horn can serve us as a diagram than can help us visualize the nature of teshuvah."

Anyone wanting to go further into the topic should find The Mystic Spiral: Journey of the Soul by Jill Purce (Thames and Hudson, 1974 - 128 pages). The book's back cover text says,

The spiral is the natural form of growth, and has become, in every culture and in every age, man's symbol of progress of the soul towards eternal life. As the inward-winding labyrinth, it constitutes the hero's journey to the still center where the secret of life is found. As the spherical vortex, spiraling through its own center, it combines the inward and outward directions of movement. In this book, Jill Purce traces the significance of one of mankind's central symbols, from the double spirals of Stone Age art and the interlocking spirals of the Chinese Yin Yang symbol, to the whorls of Celtic crosses, Maori tattoos and the Islamic arabesque.

It does not deal with animal horns, and the only specifically Jewish theme discussed is the Kabbalistic Tree of Life. Still, it is a fascinating read, and worth studying for the illustrations alone.