It actually has a name here:
http://altreligion.about....ymbols.htm
"The Artist"

squirrelgrease said:

at least the nuns'll be sexxy.

The end of 1992 saw the release of , an album distinctive for the unpronounceable symbol as its title. Prince had used variations of this symbol, a combination of the male and female glyphs, for years (it made its first appearance on the album cover to 1999, although some of his friends from high school claim he was doodling versions of it back then). For this release, Prince had added a new bit to the design: the alchemical symbol for soapstone. While he has never actually explained the meaning of his glyph, it has been widely thought of as the “love symbol” (some have argued that it represents his androgyny. Personally, I think it’s a bit of both).

On Prince’s 35th Birthday, the following June, he announced to the world that he would be changing his very name to . No explanation was given, other than his spirit told him to do it. In retrospect, it seems as if the album was setting the stage for this all along. The opening track that declared his name to be Prince could be seen as establishing the character of his story that would later “die”. While this is all metaphoric, Prince took it quite seriously.

To this day, Prince has never given a complete explanation for his name change. He has given bits and pieces, but never an in-depth reason. One tidbit he dropped in 2000 (when he changed his name back) was that it was to separate him from contractual obligations. Personally, I theorize that it was much more. Repeatedly, he stated that he did it for “spiritual reasons”, and I believe that the clues can be found on the album. He felt he had found the mate who would “complete” him, coinciding with a time that he was growing increasingly frustrated with Warner Bros. Records and the way they were handling the distribution of his material. I think he decided to change his name, so he could record outside of his contract (which wasn’t exactly legal, but perhaps he thought he could get away with it). It certainly wasn’t the first time Prince had used a pseudonym in his career, and it had hid his involvement on projects before. By changing his name, he reasoned he could give vault material to WB under his former moniker, while recording what he wanted on his own under the new name. Another element that may have played into the decision was his resentment over WB actually having ownership in the name “Prince” through his publishing. Having decided he was now “whole” with Mayte, he used a new version of his trademark symbol that most fans already associated with him, a symbol that represents his newfound completion, as well as his androgynous duality. Of course, in order to convey that, it had to be in the form of dramatic song. The story of finding a new love and having a contractual dispute becomes a mythic battle of the hero and heroine fighting against the forces of evil. Classic Romantic fiction, really.

One other point that must be touched on here is the use of the alchemical soapstone symbol. Alchemy, the medieval practice of trying to transmute lead and other metals into gold, was once thought of as a science. In fact, it wasn’t until the Catholic Church declared it heretical that it became thought of as an “occult” practice. Soapstone was considered a key ingredient to this process. Prince’s inclusion of this symbol into his own personal design can be seen as a metaphor for transformation once again. He is “transmuting” into something new. There certainly were plenty of references to gold throughout this time period (and it would only increase with the recording of The Gold Experience later on). Gold chains and set pieces filled his videos, concerts and promo pictures. Becoming something “golden” in this case, can be seen as metaphoric of becoming something shining and precious in a spiritual sense. Its also interesting to note that Prince’s spiritual beliefs were starting to broaden at this point. While still Christian based, he was beginning to have more New Age style ideas creep in, such as reincarnation (he tells the Kirstie Allie character that he is into his “fifth-soul”, so he is actually 320).

A tidbit about the symbol that I wrote up on another thread a while back:

Now I wonder how the symbol for soapstone came into being - it seems to be made up of a few bits itself!

Interesting and well thought out. I particularly like the last paragraph - it makes lots of sense.

Now I wonder how the symbol for soapstone came into being - it seems to be made up of a few bits itself!

Isn't it called the Soapstone symbol? Some ancient Greek or Egyptian symbol for androgyny?

...such as reincarnation (he tells the Kirstie Allie character that he is into his “fifth-soul”, so he is actually 320).