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. 2015 Mar 7;9:12. doi: 10.1186/s12918-015-0149-z

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© Tendler et al.; licensee BioMed Central. 2015

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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The three dimensional Pareto front of the ammonoid dataset. (A) The RMS error for PCHA optimal polygons and polyhedra is computed for different numbers of possible vertices: line, triangle, tetrahedron, 5-vertex polyhedron, etc. Error decreases with increasing the number of archetypes up to 5. Increasing the number beyond 5 doesn't improve the fit by much (for more evidence for the pyramidal shape of the data, see Additional file 1). (B-D) The best fit 5-archetype polygon resembles a square pyramid. Blue points denote FF to DM ammonoids, red are DM to PT and green are post PT ammonoids. Archetypes are numbered, their morphology is shown, and the suggested tasks are listed in panel A.