Y. Tsukii. Pediastrum boryanum is one of many species of tiny plants that are called green algae.. Actually, any species in the Chlorophyta Division (phylum) is called green algae. Green Algae come in many different shapes and sizes. Pediastrum boryanum is the scientific name of one green algae species.To see one Pediastrum boryanum you will need a microscope.If many Pediastrum boryanum are together, probably with other species of algae as well, they will look like green slime in the water.ctually, any species in the Chlorophyta Division (phylum) is called green algae. Green Algae come in many different shapes and sizes. Pediastrum boryanum is the scientific name of one green algae species.