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Naming the Hexacube pieces — Page 5 of 5
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Group 3 — continued (cross-section of 4 units) The names of the pieces in this group combine the tetromino name, the number of the covered unit square, and the direction of the domino as u, d, l, r, or v. The drawing shows the numbering key of the cube faces, and the attached domino as a smaller rectangle in its respective positions. Where the domino is vertical, two smaller white squares overlap. Where two separate cubes are attached on top and bottom simultaneously, the top cube is shown as a white square and the bottom cube as black. The 3-D views show each piece from an angle so all 6 cubes are identifiable.
The 53 pieces of this group spread over two pages. To return to their previous page, click on button 4 at the bottom of this page.
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Group 4 — cross-section of 3 units The last and strangest hexacubes are constructed of two V-shaped trominoes, with cross-section of just 3 cubes. The top tromino can be attached to the bottom one in the six ways shown, without exceeding 3 cubes as their largest cross-section. View the bottom V diagonally to identify the orientation of the top V as being left, right, or down. The names of the pieces in this group combine the V letter with the number of the covered square and its orientation. The piece with the two trominoes directly lined up is simply called "Fat A," to differentiate it from the flat A in the first group. The other symmetrical duo, where the two trominoes point in opposite directions, is named "B" for its twin humps.
The drawing shows the numbering key of the unit cube faces and the attached top tromino as a smaller V. The 3-D views show each piece from an angle so all 6 cubes are identifiable.
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