Comparison was made of 10 monoploid and 10 diploid plants in each of 6 lines (3 inbred lines and 3 monoploid-derived homozygous diploid lines) of maize to test the hypothesis that the monoploid, having, presumably, half the chromosomal volume per nucleus of the related diploid, would be proportionially scaled down in all dimensions and, having a complete gene complement, would retain the same number of parts as the diploid. In fact the monoploids were found to be slightly smaller than expected, with, in general, fewer parts than their diploid sibs. The difference was of the order of 11% in terms of both number of parts and linear dimensions, with area and volume measures proportionately scaled. It is suggested that the deviation from expectation could have been due to precocious nuclear and cell division in the monoploid consequent to the relation of chromosomal and nuclear volume to cell surface area, or the bias could be attributed to an environmental disadvantage peculiar to the monoploid plants. MONOPLOID sporophytes of maize (Zea mays L.) are smaller than genotypically equivalent homozygous diploids; otherwise, they appear to be similar to their diploid sibs (Fig. 1), being vigorous if the homozygous diploids are vigorous and weak if the diploids are weak. The question which prompted this study is whether the difference in size involves simply a scaling-down of all dimensions, proportionate to the volume of chromosomal material per nucleus of the monoploid (this being, presumably, one complete half that of the diploid), without change in numbers of parts, or whether non-proportionate changes in dimensions and changes in numbers of parts are also involved. Randolph, Abbe, and Einset (1944) reported a comparison of shoot apex and leaf development, and structure, in heterozygous diploid and tetraploid maize. They found that the shoot apex "... during plastochron 10 had the same number and arrangement of cells' in diploid and tetraploid, '. . . but that the volume of the nuclei and cells was doubled." "At maturity there was a marked tendency. . . for the tetraploid leaf to be approximately the same length as the diploid, about 1.16 times as wide, and 1.35 times as thick. The volume of the tetraploid leaf at maturity was thus about 1.6 times the volume of the mature diploid leaf." These authors developed the concept of the ideal gigas state, based on the relation of chromosome numbers in the diploid and tetraploid. This ideal state ". . . is attained when the volume of the various structures in the tetraploid including cells, tissues, and organs, is doubled that of the diploid, but the relative dimensions of these structures remain the same; that is, when the external form of the tetraploid structural unit is the same as that of the diploid but its volume is doubled... I Received for publication February 2, 1964. Randolph et al. found that the ideal gigas state was attained in the shoot apex of the tetraploid maize, but was modified in the mature leaf. If the physical relations among genotypically equivalent monoploids, diploids and tetraploids were based solely on the difference in volume of chromosomal material, the following ratios would obtain: Monoploid Diploid Tetraploid Chromosome numbers 10 20 40 Attributes measured: Number of plant parts 1.00 1.00 1.00 Linear dimensions 0. 79 1 .00 1 .26 Areas 0.71 1.00 1.41 Volumes (or weights) 0.50 1.00 2.00 MATERIALS AND MEASUREMENTS-To study these relations in homozygous diploids and their related monoploids, 10 monoploids and 10 diploids from each of 6 lines were examined. Three inbred lines (W153R, ND203, and DeKalb 0014) and 3 monoploid-derived hoimozygous diploid lines (DeKalb 7016, DeKalb 7010, DeKalb 7071) were used (for the method of development of the monoploid-derived lines see Chase, 1947, 1949a,b,c,d, 1951, 1952a,b). The sample plants were taken from increase plots at time of silking. An attempt was made to select freestanding plants in order to minimize the effects of competition. The measurements presented here are the averages of the 10 plants of each subset. In this n :2n comparison, the attributes studied were: (1) position of ear, counting nodes down from tassel; (2) number of tillers; (3) number of tassel branches plus leader; (4) number of nodes, counting each one, including those below ground level; (5) number of husks on ear, including prophyll; (6) number of rows of spikelets (kernel row number) per ear; (7) number of spikelets per ear