The first picture is of Starburst polyps the second set of pictures is actually GSP
GSP sting and kill other corals
I am only referencing the site for its information and that it is a credible site for information, I am in no way affiliated with either site and gain nothing by mentioning their name.
I pulled this from Bloozooaquatics.com
Other Common Names
Starburst Polyps, Eight Tentacle Polyps, Mat Polyps, Daisy Polyps
Description
Green Star Polyps are a favorite coral for beginners and advanced hobbyists alike. The waving polyps flowing in the current add movement and color to the aquarium.
Green Star Polyps are often noted to be good indicators of water quality, and flow. They react quite quickly to changes in water parameters by not opening. It is very important to make sure your pH and Alkalinity are balanced to encourage growth and color of this flashy, easy to keep coral.
Care should be taken when placing this coral into your aquarium. If given the right placement in good water quality, this coral will often grow very quickly. Be sure to leave a minimum of six inches between corals to allow for growth. Large colonies are similar in appearance to a phosphorescent lawn. The coral will encrust rock and just about anything it gets near. When a rock is crowded, the colonies will react by sloughing a waxy purple growth that can then be glued to another rock or tied onto a rock with string. In a few weeks it will attach to the rock and become its own colony. Tissue left behind on rock will usually grow into a new colony.
and this was from Liveaquaria.com
Accurately described as an encrusting coral, Starburst Polyps rapidly grow over adjacent rock work, coral, or even the glass of an established reef aquarium. They are a peaceful coral armed with the defensive capability of being able to retract or deflate each of their polyps in response to predation. They will not harm other corals that are placed close to their colony, but are susceptible to being damaged by any aggressive corals in the reef aquarium. They are easy to maintain in the reef aquarium and make an excellent candidate for the beginning through expert reef aquarist.