Floor of Building D with basin ... At first, H.A.T. thought that the Sq. Peristyle might be a Gymnasium or a market building. Here is why there is mention of Gymnasium. Cf. Hesperia XIX, 1950, pp. 322ff. Horizontal (normal) ... August 1949 ... Peristyle might be a Gymnasium or a market building. Here is why there is mention of Gymnasium. Cf. Hesperia XIX, 1950, pp. 322ff.