Choose a mold to pour your cheese into. Spray it with a little spray oil and add any stick-like objects that you have to make different sized holes throughout your cheese.
Pour the coconut milk into a saucepan and add all of the ingredients while the milk is still cold. (Include tapioca starch if you want to melt it. Leave it out if you want to slice it and eat it cold).
Stir with a whisk then turn the heat on to medium. Continue to stir frequently until it begins to boil.
Turn the heat down to low. Stir and allow to boil slowly for 6 full minutes.
Pour the hot cheese sauce into the mold.
Let it cool uncovered for about 15 minutes on the countertop.
Place it in the fridge for at least 3 hours uncovered to allow it to set completely and to dry out slightly.
Pull out the sticks. (Give them a little twist to release them and then pull out straight).
Slice and serve or cover and keep in the refrigerator for up to 5 days.
Notes
Use full-fat coconut milk or coconut cream for the base for the creamiest best-tasting cheese.
Measure carefully. Make sure to use 2 full tablespoons and not to 2 teaspoons of agar agar or your cheese will not set.
Allow it to boil slowly for a full 6 minutes. This will activate the agar agar and allow it to set correctly.
Use a variety of different sized "sticks" to make the holes in your vegan Swiss.
Use one or two big objects, like a handle of a wooden spoon, to make larger holes.