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Fig. 1. Dimer model $\Gamma_{4a}$.

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1 Fig. 1. Dimer model $\Gamma_{4a}$.
From: Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons Int Math Res Notices. Published online June 25, doi: /imrn/rnx114 Int Math Res Notices | © The Author Published by Oxford University Press. All rights reserved. For permissions, please

2 Fig. 2. A part of perfect matchings of $\Gamma_{4a}$.
From: Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons Int Math Res Notices. Published online June 25, doi: /imrn/rnx114 Int Math Res Notices | © The Author Published by Oxford University Press. All rights reserved. For permissions, please

3 Fig. 3. Differences of perfect matchings and the perfect matching polygon of $\Gamma_{4a}$.
From: Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons Int Math Res Notices. Published online June 25, doi: /imrn/rnx114 Int Math Res Notices | © The Author Published by Oxford University Press. All rights reserved. For permissions, please

4 Fig. 4. Quiver associated with $\Gamma_{4a}.$
From: Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons Int Math Res Notices. Published online June 25, doi: /imrn/rnx114 Int Math Res Notices | © The Author Published by Oxford University Press. All rights reserved. For permissions, please

5 Fig. 5. An example of paths $p_a^{\pm}$.
From: Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons Int Math Res Notices. Published online June 25, doi: /imrn/rnx114 Int Math Res Notices | © The Author Published by Oxford University Press. All rights reserved. For permissions, please

6 Fig. 6. The classification of reflexive polygons.
From: Mutations of Splitting Maximal Modifying Modules: The Case of Reflexive Polygons Int Math Res Notices. Published online June 25, doi: /imrn/rnx114 Int Math Res Notices | © The Author Published by Oxford University Press. All rights reserved. For permissions, please


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