Sycorax is Caliban's mother.She is from Alger nd she was the one who punished Ariel for not carrying our her orders.
Prospero and Miranda lived in a cell on the island.
Prospero used his art of magic to get the spirits of the isle to obey him, and also to set Ariel free from boundage by Sycorax.
Prospero,a master planner, uses his art of magic to get his enemies closer to him.
After Prospero and Miranda were set afloat on the Mediterranean Sea by Antonio and his men, they finally arrive safely on an island and set up home in a small cave or "cell."
When Prospero was the Duke of Milan he spent most of his time in studying the magical arts. When he and his daughter Miranda were left to die on ill furnished boat, Gonzalo their trusted friend packed the boat with many of Prospero's prized books. It is with the help of these books and his knowledge of magic that he successfully takes his revenge against his brother Antonio and the King of Naples and gets back his dukedom:
"By accident most strange, bountiful Fortune,
Now my dear lady, hath mine enemies
Brought to this shore; and by my prescience
I find my zenith doth depend upon
A most auspicious star, whose influence
If now I court not but omit, my fortunes
Will ever after droop."
Sycorax the Algerian witch was the former owner of the island which is now owned by Prospero. She was a very wicked person who had bound Ariel as a slave:
Hast thou forgotARIEL PROSPERO ARIEL PROSPERO
The foul witch Sycorax, who with age and envy
Was grown into a hoop? hast thou forgot her?