Creating cool logo animation

Start by creating puzzle 2 shape using custom shape tool.

From filter menu select distort>>twirl.
Apply settings as shown.
Press Ctrl+F several times to achieve the result as shown.
Duplicate layer. Press Ctrl+T and rotate it 60°.
Duplicate the layer and press Ctrl+Shift+T to transform again. Do this step 4 times to create a total of 6 layers each having a 60° variation in rotation.

Type "Twrilzone water park" with a bold font.

Change the layer mode to exclusion.
Double click the layer to open layer style window. Apply layer style with the settings shown.
Fill the background with yellow color.
Open animation window. For the first frame, keep the first twirl shape visible and hide rest of the duplicate layers.

Duplicate the first frame. Keep the second twirl shape visible and hide rest of the duplicate layers. Do so for the rest of the layers.

 

Press Ctrl+Alt+Shift+S to save an optimized animated GIF.