Figure S1 The areal material ratio curve (also referred to as the bearing area curve, or Abbot–Firestone curve) from which a number of height, volume, and material ratio parameters are derived. For definitions of parameters, see Supporting Information Table S1. The curve is a cumulative probability density function, derived from the scale-limited surface by plotting the cumulative percentage of the surface against height. Core, peaks and valleys within a surface are defined on the basis of this curve, with the core equivalent to the volume that lies between the heights of the surface delimited by the extrapolated intercept of the minimum slope of the curve as shown in the figure. Modified with permission from Alicona Infinite Focus Manual.

Figure S2 Cross-section through a surface showing how volume parameters relate to a surface. Note that this is a two-dimensional profile, but the parameters are volumes calculated for the whole surface. Modified with permission from Alicona Infinite Focus Manual.

Table S1 Specimens from which microtextural data were acquired. During preparation, the M3, coronoid crest and all other morphology posterior to the M2 was removed on both sides of the mandible to allow unobstructed examination of the M2. Soft tissues were removed from the teeth and jaws, carefully avoiding any contact between instruments and the M2 crowns, and specimens were further cleaned by boiling in individual beakers of water for 2 min. Prior to analysis, tooth surfaces were carefully cleaned with acetone applied with a soft synthetic brush. In a few cases the first attempts at data acquisition from the M2 facets revealed the presence of small crystals precipitated over the functional surface. These specimens were returned for a short period to the solution in which they had been stored, were gently brushed with de-ionized water on removal, and air-dried before examination.

Table S2 Short definitions and categorization of three-dimensional areal surface texture parameters. For further explanation see Supporting Information Figs S1 and S2.

Table S3 Loadings (eigenvectors) for roughness parameters onto PC axes 1 and 2 for the principal components (PC) analysis (nine parameters that differ significantly between bat species).

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