# West face East face

The 1 x 1 x 2 die with new configuration was created from 2 dice (w/ opposite faces total 7) that were glued together on one of their faces. If this long die is rolled twice, the sum of non-repeated results can be equal to 5, 6, 7, 8, 9,11,12,13,14,15,16 or 20. What are the glued faces of the 2 dice?

• Perhaps i'm misunderstanding, but how can 5 be the sum of two rolls? Given that the dice is gonna land with two faces up, the rolls would have to be 2 + 3. In order to get 2, it'd have to be both 1 faces on top, then how would you be able to roll a 3 next time, which would require a 1 and 2 face on top – indubitablee Jun 22 '17 at 16:09
• @indubitablee-the die can also land on 1x1 faces though less likely – TSLF Jun 22 '17 at 16:20
• @TSLF haha understood, thanks! #gravityRebels #momentumShmomentum – indubitablee Jun 22 '17 at 16:22
• What does "sum of non-repeated results" mean exactly? – Gareth McCaughan Jun 22 '17 at 16:23
• @GarethMcCaughan Presumably that rolling the same side twice in a row wouldn't be counted. Looking at the results, this must be the case, as if duplicates were counted, the smallest roll is necessarily even. – Ian MacDonald Jun 22 '17 at 16:29

 +-----+ | 1 4 | +---+-----+---+ | 4 | 2 1 | 2 | +---+-----+---+ | 6 3 | +-----+ | 5 6 | +-----+