Genus: Arrangement of 4 daughter cells flat and rectangular in shape, forming composite coenobium; without gelatinous sheaths, no hairly projections (Illustrations of the Japanese Freshwater Algae, 1977).
Species: Colonies of 4 cells; cell body triangular in shape, 4-10 μm wide; a single chloroplast plate-like, with a pyrenoid (Illustrations of the Japanese Freshwater Algae, 1977).

Cell body triangular in shape
C. tetrapedia cell 5.5 x 2.3 μm colony 16 μm Ueno Tokyo, 2001	C. tetrapedia 3 x 4 μm colony 12 μm Nishi-Urawa Saitama, 2001	C. tetrapedia 5 x 6 μm Mizumoto park Tokyo, 2001	C. tetrapedia μm Higusa-numa Hikari Chiba, 2003
C. tetrapedia ? 7 x 6 μm Omiya Saitama, 2001	C. tetrapedia μm Higusa-numa Hikari Chiba, 2003	C. tetrapedia 10 μm Yakebe-ike Higashi-Murayama Tokyo, 2006

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