Naming the Hexacube pieces — Page 3 of  5
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# Group 2 — continued  (cross-section of 5 units)
Where the addition of a sixth cubelet makes a piece fit into either of two shapes by cross-section — in this case, L or Y — we've given priority to Y. The L family gets only those pieces that cannot look like a Y but only like an L.

By a quirk of symmetry, piece Y3 is congruent to Yb3, so the Y family has only 9 members (there is no Yb3).

The drawing shows the numbering key of the cube faces, front and back, and the attached cube as a smaller square in its respective position. The 3-D views show each piece from an angle so all 6 cubes are identifiable.

More pentomino-based hexacubes
Pentomino-based hexacubes P1 through L5, showing their shapes with names Pentomino-based hexacubes N1 through N5, showing their shapes with names Pentomino-based hexacubes Y1 through Y5, showing their shapes with names


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