Blend all the filling ingredients, except mango and turmeric, in a food processor or blender until completely smooth, scraping down the inside of the food processor a few times to remove lumps. The mixture should be completely smooth like a thick cream.
Pour half of the cream mixture into a bowl, and set aside. Then, add the mango and turmeric to the remaining cream mixture in the blender, and process until well combined.
Remove base from freezer and, using one quarter of the plain cream mixture, dollop generous spoonfuls on top of the base.
Repeat this with dollops of one quarter of the mango mixture, then continue layering in this way until both mixtures have been used up.
Using a chopstick, swirl figure-eight patterns through the mixture to create a swirling effect between the two creams. Don’t over-swirl or you will end up with a completely light orange cheesecake.
Place in the freezer overnight. An hour before you want to serve it, remove from the tin and place in the fridge. This helps to maintain its lovely firm texture, similar to an Italian semifreddo. You can also slice the cake and return to the freezer in individual slices to remove from the freezer as you need.