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Supplemental Information

The polygon composition and the isomer number of polyhedral coccosphere

The polygon compositions of polyhedra (6-22 faces) were predicted based on Euler’s formula, and further examined using the software CaGe to obtain isomer numbers. The face numbers are a list of consecutive positive integers. The isomer number of polyhedral coccosphere was calculated using the software CaGe. The numbers in red color indicate where no polyhedron exist with predicted polygon compositions.

DOI: 10.7287/peerj.preprints.3457v2/supp-2

Additional Information

Competing Interests

The authors declare that they have no competing interests.

Author Contributions

Kai Xu conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, prepared figures and/or tables, authored or reviewed drafts of the paper, approved the final draft.

David Hutchins authored or reviewed drafts of the paper.

Kunshan Gao authored or reviewed drafts of the paper.


This study was financially supported by National Natural Science Foundation (41430967), the national key research programs (2016YFA0601400), Joint project of National Natural Science Foundation of China and Shandong province (No. U1606404), the Natural Science Foundation of Fujian Province (No. 2016J01165). D.A.H.’s visit to Xiamen University was supported by Visiting Scholar Program of State Key Laboratory of Marine Environmental Science (Xiamen University). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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