. Bulletins of American paleontology. OM II 12 (12 (1.(1 (12 Eigenshape 1 Eigenshape 3 Text-figure 18.—Ordination of the three marginal tooth-shape ex- emplars in the space of the three eigenshape vectors; X, = K, = ; \, = ). In order to visuahze the ordination in three-dimensional space imagine that, relative to plot A. plot B is rotated 90°. Note that this ordination delimits a bent triangular space both limbs of which are inclined to the three eigenshape axes. This space contains the coordinate positions for all shapes that can be considered intermedia
. Bulletins of American paleontology. OM II 12 (12 (1.(1 (12 Eigenshape 1 Eigenshape 3 Text-figure 18.—Ordination of the three marginal tooth-shape ex- emplars in the space of the three eigenshape vectors; X, = K, = ; \, = ). In order to visuahze the ordination in three-dimensional space imagine that, relative to plot A. plot B is rotated 90°. Note that this ordination delimits a bent triangular space both limbs of which are inclined to the three eigenshape axes. This space contains the coordinate positions for all shapes that can be considered intermediate to the exemplar shapes. Regions of shape variation whose boundaries represent the boundaries of shape vari- ation characteristic of each character state will be found within this bent triangular Text-figure 19.—Shape models for a regular grid of positions within the leaf marginal tooth-shape character intermediacy plane. These models were obtained by scaling the first three eigenshape vectors resulting from the analysis of the exemplar shape functions by the coordinate positions of locations within the intermediacy plane (Text-fig. 18) and then summing the scaled vectors together in the manner shown in Text-figure 2B. Coordinate positions for each model as follows. (1) ; (2) ; (3) , ; (4) ; (5) , ; (6) , ; (7) , : (8),,; (9), ,: (10) , ; (11) , , ; (12) ; (13) : (14) , : (15) , , See text for a discussion of the shape models relative to the definitions of the exemplar states. Shape model series such as these can be used to explore the geometric spaces within which these forms exist and better define the limits of morphological character- state variation. gin" character states), and (3) quan
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Keywords: ., bookauthorpaleonto, bookcentury1800, bookdecade1890, bookyear1895