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Monohedra are monosurfaces or one-sided surfaces like the Mobius strip with polyhedral symmetries. Those below hint at the possibilities.
structure: Cubic Monohedron
components: squares
structure: Cubic Monohedron
components: squares
structure: Cubic Monohedron
components: squares
structure: Cubic Monohedron
components: squares
structure: Dodecahedral Monohedron
components: squares, pentagons
structure: Icosahedral Monohedron
components: triangles, squares
structure: Icosahedral Monohedron
components: triangles
structure: Icosahedral Monohedron
components: triangles, squares, pentagons, hexagons
structure: Icosahedral  Monohedron
components: triangles, squares
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