Description: Has low pyramidal form and a very thin test of unknown composition. In most specimens four lobes give a “square” outline and may suggest at first glance a fourfold radial symmetry. The lobes are separated by grooves that radiate from the apex, and each lobe is divided into two equal parts by shallower grooves. In addition, the surface bears fine radiating striae ad concentric growth lines. Specimens are 5 to 6 cm in diameter and 1 to 1.6 cm high, they are very low pyramids. In a specimen from the New York State Museum what appear to be tentacles are found extending away from the margin. With this evidence and the presence of bilateral symmetry Oliver (1984) believes Conchopeltis to be a medusoid that is possibly of cnidarian (corals, anemones, jellyfish, etc.) descent.