Shape is one of the oldest and constantly employed descriptors of species morphology. In the era of molecular identification and species characterization tools, shape is in the focus of new interdisciplinary efforts in search of better describing and understanding phenotypical niche, morphological spaces and the information they can convey. Fungi are morphologically versatile organisms, with different shapes corresponding to different stages in their life cycles, resource capture versus reproduction and dispersal strategies, presenting different topologies. In this review, different methods employed in fungal shape analysis from fractals, Lindenmayer systems, networks to geometric morphometrics and machine learning were presented. However, fungal shapes pertain mostly to hyperbolic and spherical geometries not investigated to the moment and worth to approach in the future.
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