Below is a catalog of the pentacube pairs for which solutions exist. These are qualified by the placement of the dicube, which can be in one of ten placements, arbitrarily labeled here as A, B, C, D, E, F, G, H, J, or K. For example, the first set shown below, the combination of three F- and three Q-pentacubes, has only one solution, and that has the dicube placed at A. Similarly, three P- and three T-pentacubes can only be solved with the dicube at D.

Many sets can be solved with the dicube at different places. For example, three P- and three N1-pentacubes can be solved with the dicube nearly anywhere, but for most placements of the dicube the solution is unique.

The catalog links to solution drawings whenever there are three or fewer for a particular dicube placement. For example, to see the two solutions for three Y- and three T2-pentacubes, click the solution drawings link. In the bottom half of the linked window you will see a frame for each solution. Within the frame you can click on the next (or previous) link to add (or remove) a piece from the drawing.

1 solution for A

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solution drawings

1 solution for A

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1 solution for A

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1 solution for A

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1 solution for B

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1 solution for D

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1 solution for D

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1 solution for D

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1 solution for D

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1 solution for D

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1 solution for D

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1 solution for E

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1 solution for E

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1 solution for F

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1 solution for J

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1 solution for J

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1 solution for A and 1 solution for C

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1 solution for D and 1 solution for E

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1 solution for A and 1 solution for F

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1 solution for C and 1 solution for G

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1 solution for D and 1 solution for G

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1 solution for F and 1 solution for J

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1 solution for E, 1 solution for F and 1 solution for J

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1 solution for B, 1 solution for D, 1 solution for G and 1 solution for H

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1 solution for D, 1 solution for E, 1 solution for F and 1 solution for J

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1 solution for A, 1 solution for B, 1 solution for D, 1 solution for H and 1 solution for J

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1 solution for A, 1 solution for B, 1 solution for E, 1 solution for F, 1 solution for H, 2 solutions for G, 2 solutions for J, 2 solutions for K and 4 solutions for D

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1 solution for E, 1 solution for F, 1 solution for G and 2 solutions for D

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1 solution for C, 1 solution for E, 1 solution for J and 2 solutions for D

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1 solution for D, 1 solution for E and 2 solutions for G

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1 solution for B, 1 solution for H, 2 solutions for E and 2 solutions for J

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1 solution for A, 1 solution for J, 2 solutions for E, 2 solutions for F and 5 solutions for D

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1 solution for B, 1 solution for C, 2 solutions for A, 3 solutions for G, 5 solutions for F, 8 solutions for E and many solutions for D

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1 solution for D, 1 solution for G, 4 solutions for A and 7 solutions for E

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1 solution for B and 2 solutions for A

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1 solution for F and 2 solutions for D

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1 solution for F and 2 solutions for D

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1 solution for B and 2 solutions for F

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1 solution for J and 2 solutions for E

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1 solution for F, 2 solutions for A, 2 solutions for D and 3 solutions for E

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1 solution for B, 2 solutions for E, 2 solutions for G, 3 solutions for F and many solutions for D

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1 solution for K, 2 solutions for F, 3 solutions for B, 3 solutions for C, 3 solutions for E, 3 solutions for G, 3 solutions for H, 4 solutions for A, 6 solutions for D and 7 solutions for J

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1 solution for F, 2 solutions for B, 3 solutions for D and 4 solutions for E

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1 solution for E, 2 solutions for B, 8 solutions for F and many solutions for D

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1 solution for A, 2 solutions for B, many solutions for D, many solutions for E, many solutions for F and many solutions for G

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1 solution for A, 3 solutions for C, 3 solutions for F and 3 solutions for G

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1 solution for C, 3 solutions for A, 4 solutions for B, 4 solutions for D, 7 solutions for F and many solutions for E

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1 solution for C, 4 solutions for E, 6 solutions for F, 6 solutions for K, 7 solutions for A, 8 solutions for B, 8 solutions for H, many solutions for D, many solutions for G and many solutions for J

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1 solution for C, 5 solutions for F, 5 solutions for J, 6 solutions for B, 6 solutions for H, 7 solutions for A, 7 solutions for E, 7 solutions for G, 7 solutions for K and many solutions for D

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1 solution for G, 5 solutions for K, 7 solutions for B, 7 solutions for H, many solutions for A, many solutions for D, many solutions for E, many solutions for F and many solutions for J

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1 solution for E, 7 solutions for G, many solutions for A and many solutions for D

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2 solutions for A

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2 solutions for A

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2 solutions for D

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2 solutions for E

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2 solutions for G

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2 solutions for J

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2 solutions for A and 2 solutions for J

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2 solutions for B, 2 solutions for H, 3 solutions for C, 5 solutions for K, 6 solutions for A, many solutions for D, many solutions for E, many solutions for F, many solutions for G and many solutions for J

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2 solutions for A, 2 solutions for F and 4 solutions for E

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2 solutions for A, 2 solutions for G, 4 solutions for F, 4 solutions for J, 5 solutions for D, 5 solutions for K and 8 solutions for E

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2 solutions for F and 3 solutions for A

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2 solutions for G, 3 solutions for E, 8 solutions for B and many solutions for D

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2 solutions for E, 4 solutions for G, 5 solutions for A and many solutions for D

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3 solutions for J

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3 solutions for G, 8 solutions for C, 8 solutions for F, many solutions for B, many solutions for D and many solutions for E

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6 solutions for C, many solutions for A, many solutions for B, many solutions for D, many solutions for E, many solutions for F and many solutions for G

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8 solutions for A

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