Set up a tin lid above a Bunsen burner. Place the brown algae atop the tin lid. Burn it to ash using the Bunsen burner.
Purify the ash by boiling it in distilled water. Filter the water and collect the filtrate, which contains the residue.
Add about 2 ml sulfuric acid solution. Add hydrogen peroxide. The hydrogen peroxide is oxidizing the iodide to iodine when the solution turns deep brown.
Add the solution, in a separation funnel, to cyclohexane. Shake. Vent, periodically, by turning the knob at the bottom. Shake again and vent. Allow the two layers to separate,into an organic layer of iodine in cyclohexane (on top) and the aqueous water later on the bottom. Open the bottom of the funnel to slowly drain the water layer into a beaker; be careful to retain the organic layer. Dispose of the water layer in a sink.
Pour the organic layer into a beaker and leave in a fume hood overnight. The cyclohexane will evaporate, leaving behind shiny black crystals of iodine. Or, to expedite evaporation, use a rotovapor.