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As I was visiting a gadget shop I noticed these dice that had this images from top, front, and side - presented in the picture. Than I noticed another feature and knew it. Who plays with these dice? The intended players use the dice as regular dice. enter image description here

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    $\begingroup$ I'd say someone who is really bad at cheating. $\endgroup$ – Jason_ Aug 29 '16 at 0:08
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Partial answer:

The dice are transparent. I'm not sure why someone would specifically need transparent dice, but with a standard layout, that's what a transparent die would look like. The front and back are 6 and 1, the sides are 5 and 2, and the top and bottom are 3 and 4.

It could be

a nested die?
enter image description here
I know several tabletop roleplayers use these, and sometimes they're used for other games where you have to roll two dice at once.

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  • $\begingroup$ Nice observation. There is an additional feature that allows a certain group of individuals to play with these dice effectively - any suggestions? $\endgroup$ – Moti Aug 29 '16 at 0:15
  • $\begingroup$ @Moti: Could it be this? $\endgroup$ – Deusovi Aug 29 '16 at 0:17
  • $\begingroup$ Challenge: Find an actual picture of an actual transparent die that actually looks at all like the pictures in the question :-). $\endgroup$ – Gareth McCaughan Aug 29 '16 at 0:18
  • $\begingroup$ @GarethMcCaughan: Well, if you look at it directly from the top/sides/back, it would. $\endgroup$ – Deusovi Aug 29 '16 at 0:19
  • $\begingroup$ I really don't think it actually would. You'd need to be looking from far enough away that parallax didn't screw it up, and from exactly the right angle to make the dots overlap as required. I guess it would be possible to make them look that way, but it would be super-unnatural and I don't think transparent dice would ever actually look to a casual passer-by the way they're shown here. $\endgroup$ – Gareth McCaughan Aug 29 '16 at 0:21
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Well,

one of the dice in a set of "Efron dice" would have three faces with 5,5,7 spots on them.

I don't see why the question would have the "geometry" tag if that were what Moti has in mind, but assuming this isn't the intended answer perhaps Moti would like to narrow the question somehow so as to exclude it?

[Since I posted this, the question has been edited to include the words "The intended players use the dice as regular dice"; if that rules out this answer then I don't really see how...]

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The people who use these dice are:

Scam Artists

These are called called:

"Non-Transitive Dice". A dice of one layout will have a winning probability over another, and that one will lose to the third, sort of like "Rock, Paper, Scissors".
Relevant Scam School video: https://www.youtube.com/watch?v=dQ0sdD61UGs

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    $\begingroup$ I think this answer (1) conflicts with the statement that the dice are used as regular dice -- the way you scam someone with nontransitive dice is something you wouldn't ever do with ordinary dice -- and (2) is essentially a duplicate of mine. $\endgroup$ – Gareth McCaughan Aug 29 '16 at 0:22

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