Stomachion

Author

Eric W. Weisstein
August 4, 2010

This notebook downloaded from http://mathworld.wolfram.com/notebooks/RecreationalMath/Stomachion.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Stomachion.html.

©2010 Wolfram Research, Inc. except for portions noted otherwise

Additional Authors

Loculus configurations by
Bill Cutler (http://billcutlerpuzzles.com/)
Coding in Mathematica by Ed Pegg, Jr.
November 17, 2003

Square Configurations

Loculus = {{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,0},{2,10},{4,8},{0,0}},{{0,12},{6,12},{2,10},{0,12}},{{3,0},{2,4},{3,6},{3,0}},{{4,11},{6,12},{10,8},{4,11}},{{6,6},{8,4},{6,0},{6,6}},{{6,12},{12,12},{10,8},{6,12}},{{9,6},{12,6},{12,4},{9,6}},{{10,8},{8,4},{4,8},{10,8}},{{12,12},{12,6},{9,6},{12,12}},{{2,10},{4,11},{10,8},{4,8},{2,10}},{{6,0},{9,6},{12,4},{12,0},{6,0}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,0},{6,6},{8,4},{6,0}},{{6,12},{8,12},{6,9},{6,12}},{{10,2},{6,6},{12,6},{10,2}},{{12,0},{6,0},{8,4},{12,0}},{{12,0},{10,2},{12,6},{12,0}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,0},{6,6},{8,4},{6,0}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{8,4},{12,0}},{{12,0},{8,4},{12,6},{12,0}},{{12,6},{8,4},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,0},{6,6},{10,4},{6,0}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{8,2},{12,0}},{{12,0},{8,2},{12,6},{12,0}},{{12,6},{10,4},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,0},{6,6},{10,4},{6,0}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{10,4},{12,0}},{{12,0},{10,4},{12,6},{12,0}},{{12,6},{10,4},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,6},{8,2},{6,0},{6,6}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{8,2},{12,0}},{{12,0},{8,2},{12,6},{12,0}},{{12,6},{8,2},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,6},{8,2},{6,0},{6,6}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{10,4},{12,0}},{{12,0},{10,4},{12,6},{12,0}},{{12,6},{8,2},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,6},{10,2},{6,0},{6,6}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{10,2},{12,0}},{{12,0},{8,4},{12,6},{12,0}},{{12,6},{8,4},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{0,12},{6,12},{6,9},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{6,6},{10,2},{6,0},{6,6}},{{6,12},{8,12},{6,9},{6,12}},{{12,0},{6,0},{10,2},{12,0}},{{12,0},{10,2},{12,6},{12,0}},{{12,6},{10,2},{6,6},{12,6}},{{12,6},{6,6},{4,8},{6,9},{12,6}},{{12,12},{12,6},{6,9},{8,12},{12,12}},{{4,8},{6,6},{6,0},{3,0},{3,6},{4,8}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{4,8},{8,10},{8,4},{4,8}},{{6,0},{6,6},{8,4},{6,0}},{{6,12},{12,12},{10,8},{6,12}},{{8,4},{8,10},{10,8},{8,4}},{{12,6},{12,4},{9,6},{12,6}},{{12,12},{12,6},{9,6},{12,12}},{{0,12},{6,12},{8,10},{6,9},{0,12}},{{12,0},{6,0},{9,6},{12,4},{12,0}},{{3,0},{3,6},{4,8},{6,6},{6,0},{3,0}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,9},{4,8},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{4,8},{8,10},{10,8},{4,8}},{{4,8},{10,8},{8,4},{4,8}},{{6,0},{6,6},{8,4},{6,0}},{{6,12},{12,12},{10,8},{6,12}},{{12,6},{12,4},{9,6},{12,6}},{{12,12},{12,6},{9,6},{12,12}},{{0,12},{6,12},{8,10},{6,9},{0,12}},{{12,0},{6,0},{9,6},{12,4},{12,0}},{{3,0},{3,6},{4,8},{6,6},{6,0},{3,0}}},{{{0,0},{0,12},{2,10},{0,0}},{{0,0},{2,4},{3,0},{0,0}},{{0,12},{6,12},{4,8},{0,12}},{{2,10},{4,8},{0,0},{2,10}},{{3,0},{2,4},{3,6},{3,0}},{{5,10},{8,4},{4,8},{5,10}},{{6,6},{8,4},{6,0},{6,6}},{{8,10},{10,8},{8,4},{8,10}},{{9,6},{12,6},{12,4},{9,6}},{{12,12},{10,8},{6,12},{12,12}},{{12,12},{12,6},{9,6},{12,12}},{{6,0},{9,6},{12,4},{12,0},{6,0}},{{6,12},{8,10},{8,4},{5,10},{6,12}},{{4,8}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6,6},{3,6}},{{5,2},{3,6},{6,6},{5,2}},{{6,0},{5,2},{6,6},{6,0}},{{6,0},{9,6},{10,4},{6,0}},{{6,0},{10,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{8,10},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,12},{12,6},{8,10},{12,12}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,0},{9,6},{10,8},{12,6},{12,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{5,2},{3,6},{6,6},{5,2}},{{6,0},{5,2},{6,6},{6,0}},{{6,0},{9,6},{10,4},{6,0}},{{6,0},{10,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,12},{12,6},{10,8},{12,12}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,0},{9,6},{10,8},{12,6},{12,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{5,2},{3,6},{6,6},{5,2}},{{6,0},{5,2},{6,6},{6,0}},{{6,0},{10,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{10,4},{6,0},{9,6}},{{12,6},{12,0},{10,4},{12,6}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,12},{12,6},{10,4},{9,6},{12,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{5,2},{3,6},{6,6},{5,2}},{{6,0},{5,2},{6,6},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{12,0},{8,4},{9,6}},{{12,0},{6,0},{8,4},{12,0}},{{12,6},{12,0},{10,4},{12,6}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,12},{12,6},{10,4},{9,6},{12,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,0},{8,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{8,10},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,0},{8,4},{9,6},{12,0}},{{12,12},{12,6},{8,10},{12,12}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,0},{9,6},{10,8},{12,6},{12,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,0},{8,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,0},{8,4},{9,6},{12,0}},{{12,12},{12,6},{10,8},{12,12}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,0},{9,6},{10,8},{12,6},{12,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,0},{8,10},{10,8},{6,0}},{{6,0},{9,6},{10,4},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{12,0},{6,0},{8,2},{12,0}},{{12,6},{12,0},{8,2},{12,6}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,12},{12,6},{10,4},{9,6},{12,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,0},{9,6},{10,4},{6,0}},{{6,0},{10,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{8,10},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,12},{12,6},{8,10},{12,12}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,0},{9,6},{10,8},{12,6},{12,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,0},{9,6},{10,4},{6,0}},{{6,0},{10,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,12},{12,6},{10,8},{12,12}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,0},{9,6},{10,8},{12,6},{12,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,0},{10,4},{12,0},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{10,4},{6,0},{9,6}},{{12,6},{12,0},{10,4},{12,6}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,12},{12,6},{10,4},{9,6},{12,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{2,8},{0,6}},{{3,0},{3,6},{6,6},{3,0}},{{3,0},{5,4},{6,0},{3,0}},{{3,6},{6,8},{6,6},{3,6}},{{6,0},{5,4},{6,6},{6,0}},{{6,12},{8,10},{6,0},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{12,0},{8,4},{9,6}},{{12,0},{6,0},{8,4},{12,0}},{{12,6},{12,0},{10,4},{12,6}},{{0,12},{6,12},{6,8},{3,6},{0,12}},{{12,12},{12,6},{10,4},{9,6},{12,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,0},{3,6},{4,4},{3,0}},{{3,0},{4,4},{6,0},{3,0}},{{6,0},{4,4},{6,6},{6,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{8,10},{6,0},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{12,6},{12,4},{9,6}},{{12,12},{10,8},{6,12},{12,12}},{{12,12},{12,6},{9,6},{12,12}},{{6,0},{9,6},{12,4},{12,0},{6,0}},{{6,12},{6,6},{4,4},{3,6},{6,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,0},{3,6},{4,4},{3,0}},{{3,0},{4,4},{6,0},{3,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{6,6},{4,8},{6,12}},{{6,12},{8,10},{6,0},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{12,6},{12,4},{9,6}},{{12,12},{10,8},{6,12},{12,12}},{{12,12},{12,6},{9,6},{12,12}},{{6,0},{3,6},{4,8},{6,6},{6,0}},{{6,0},{9,6},{12,4},{12,0},{6,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,0},{3,6},{6,0},{3,0}},{{6,0},{4,4},{6,6},{6,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{8,10},{6,0},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{12,6},{12,4},{9,6}},{{11,10},{12,6},{9,6},{11,10}},{{12,12},{10,8},{6,12},{12,12}},{{12,12},{12,6},{11,10},{12,12}},{{6,0},{9,6},{12,4},{12,0},{6,0}},{{6,12},{6,6},{4,4},{3,6},{6,12}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,0},{3,6},{6,0},{3,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{6,6},{4,8},{6,12}},{{6,12},{8,10},{6,0},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,6},{12,6},{12,4},{9,6}},{{11,10},{12,6},{9,6},{11,10}},{{12,12},{10,8},{6,12},{12,12}},{{12,12},{12,6},{11,10},{12,12}},{{6,0},{3,6},{4,8},{6,6},{6,0}},{{6,0},{9,6},{12,4},{12,0},{6,0}},{{0,0},{0,6},{2,8},{3,6},{3,0},{0,0}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,6},{6,6},{6,4},{3,6}},{{5,10},{6,6},{3,6},{5,10}},{{6,0},{6,12},{8,10},{6,0}},{{6,0},{9,6},{9,0},{6,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{6,6},{5,10},{6,12}},{{6,12},{12,12},{8,10},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,12},{12,6},{8,10},{12,12}},{{0,0},{0,6},{2,8},{3,6},{0,0}},{{0,0},{3,6},{6,4},{6,0},{0,0}},{{10,8},{12,6},{12,0},{9,0},{9,6},{10,8}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,6},{6,6},{6,4},{3,6}},{{5,10},{6,6},{3,6},{5,10}},{{6,0},{6,12},{8,10},{6,0}},{{6,0},{9,6},{9,0},{6,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{6,6},{5,10},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{12,12},{12,6},{10,8},{12,12}},{{0,0},{0,6},{2,8},{3,6},{0,0}},{{0,0},{3,6},{6,4},{6,0},{0,0}},{{10,8},{12,6},{12,0},{9,0},{9,6},{10,8}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,6},{6,6},{6,4},{3,6}},{{6,0},{6,12},{8,10},{6,0}},{{6,0},{8,4},{9,0},{6,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{6,6},{3,6},{6,12}},{{6,12},{12,12},{8,10},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,0},{8,4},{9,6},{9,0}},{{12,12},{12,6},{8,10},{12,12}},{{0,0},{0,6},{2,8},{3,6},{0,0}},{{0,0},{3,6},{6,4},{6,0},{0,0}},{{10,8},{12,6},{12,0},{9,0},{9,6},{10,8}}},{{{0,6},{0,12},{4,10},{0,6}},{{0,12},{6,12},{4,10},{0,12}},{{3,6},{6,6},{6,4},{3,6}},{{6,0},{6,12},{8,10},{6,0}},{{6,0},{8,4},{9,0},{6,0}},{{6,12},{3,6},{2,8},{6,12}},{{6,12},{6,6},{3,6},{6,12}},{{6,12},{12,12},{10,8},{6,12}},{{8,10},{10,8},{6,0},{8,10}},{{9,0},{8,4},{9,6},{9,0}},{{12,12},{12,6},{10,8},{12,12}},{{0,0},{0,6},{2,8},{3,6},{0,0}},{{0,0},{3,6},{6,4},{6,0},{0,0}},{{10,8},{12,6},{12,0},{9,0},{9,6},{10,8}}}};

Pieces

sizes=Sort[Abs/@Area/@Polygon/@Loculus[[1]]]

Plus@@sizes

sizes/GCD@@sizes

Figures

Clean

Graphics[{ClosedLine/@Loculus[[1]]}]

A Random Solution

sto1=Show[Graphics[{
{Hue[.5],
Table[{Line[{{0,i},{12,i}}],Line[{{i,0},{i,12}}]},{i,0,12}]},
ClosedLine/@Loculus[[1]]
}],AspectRatio->Automatic]

sto2=Show[Graphics[{
MapIndexed[{Hue[(#2[[1]]-1)/17],Polygon[#1]}&,Loculus[[1]]],
ClosedLine/@Loculus[[1]]
}],AspectRatio->Automatic]

GraphicsGrid[{{sto1,sto2}},ImageSize->500]

All Solutions

Show[GraphicsArray[
Partition[
Graphics[#,AspectRatio->Automatic]&/@Map[ClosedLine,Loculus,{2}],25,25,{1,1},{}]
]]

McLeod

Stomachion:=Map[{#[[1]]/2,#[[2]]}&,{{{0,1},{2,0}},{{0,0},{1,1}},{{1,1},{2,0}},{{1,0},{1.5,1/2}},{{1/2,0},{1/2,1/2}},{{2,1/2},{3/2,1/2}},{{0,0},{1/3,5/6}},{{1/2,0},{1/3,1/3}},{{3/2,1/2},{2,2/3}},{{1,0},{1,1}}},{2}]

Show[Graphics[{Line[{{0,0},{1,0},{1,1},{0,1},{0,0}}],Line/@Stomachion}],AspectRatio->Automatic]