The Life of St. Anthony is also quite good as well. It's not really a "rule", but it does point out some underlying principles of St. Anthony's life, and from there his "rule" is pretty easy to glean.
If interested in these for your own practice, it seems important to remind one to take on a spiritual director who can help evaluate whether such a life is appropriate or suited to a particular soul. If one is suited to live the life of a hermit, then, just like St. Anthony, progressing to the point of being a hermit needs be a long and slow process of preparation. St. Anthony, for instance spent 5 years on the edge of the town, and then another 5 in the tombs outside the city before he was ready for the combat of the desert.
Also, at present, the demands of the Church regarding Mass attendance and other imposed obligations also make some of what the more ancient practices of the desert fathers and hermits impossible.
Also, one should recognize that even the desert fathers were not completely cut off from others, but often lived within reasonable proximity of others for some assistance and also to help train others in the combat as well. They did not live a life of complete solitude, alone with God without any contact with others. Such a life of complete independence and solitude (without any contact with others) chosen voluntarily is not compatible with the Christian faith.
Looking at the life of such Anchorite Saints, demonstrates the great amount of Charity they had, and in the case of St. Anthony, how God arranged for him to be pulled back into worldly affairs in order to help St. Athanasius fight the Arians.