There exist various types of agate.
A Mexican agate, showing only a single eye, has received the name  of "Cyclops agate." Dendrite agates have beautiful fern like patterns  on them formed due to the presence of manganese and iron ions. Other  types of included matter deposited during agate-building include  sagenitic growths (radial mineral crystals) and chunks of entrapped  detritus (such as sand, ash, or mud). Occasionally agate fills a void  left by decomposed vegetative material such as a tree limb or root and  is called limb cast agate due to its appearance. Turritella agate is  formed from fossil Turritella shells silicified in a chalcedony base.  Similarly, coral, petrified wood and other organic remains or porous  rocks can also become agatized. Agatized coral is often referred to as  Petoskey agate or stone.Certain stones, when examined in thin sections by transmitted light, show a diffraction spectrum due, hence they are termed rainbow agates. Often agate coexists with layers or masses of opal, jasper or crystalline quartz due to ambient variations during the formation process.
Other forms of agate include carnelian agate (usually exhibiting reddish hues), Botswana agate, blue lace agate, plume agate (such as Carey, Graveyard Point, Sage, St. Johns, Teeter Ranch and others), tube agate (with visible flow channels), fortification agate (which exhibit little or no layered structure), fire agate (which seems glow internally like an opal) and Mexican crazy-lace agate (which exhibits an often brightly colored, complex banded pattern).
Agate was highly valued as a talisman or amulet in
 ancient times. It was said to quench thirst and protect from  fevers. Persian magicians used agate to divert storms. Agate bowls were  popular in the Byzantine Empire. Collecting agate bowls became common  among European royalty during the Renaissance and many museums in  Europe, including the Louvre, have spectacular examples.History: The mining of agate in the Nahe River valley in Germany which was already documented in 1497 gave rise to the cutting center of Idar-Oberstein, Germany. Originally, the river was used to power the grinding wheels. When the Nahe agate deposit was exhausted in the nineteenth century, Idar cutters started to develop the agate deposits of Brazil, which also sparked exploration and discovery of Brazil's rich deposits of other gemstones.