A Pair of Odd (but Still Balanced) Dice












7












$begingroup$


I have a pair of odd six-sided dice at my house... I don't quite remember where I got them.



Each die has only one number on each side, and each of these numbers is a positive number.



Each pair of opposite faces sums to the same number on each individual die (but not necessarily the same across both dice)



Furthermore, the two dice, when rolled together, have the same probability of coming up a certain number as two six sided dice coming up with the same number.



Here are my drawings of three faces from each die:



enter image description here



(the 6 on the top drawing is actually a 6)



To solve the puzzle, all you have to do is:




Draw a complete cube net of each die.




Good luck and happy puzzling!






logical-deduction visual dice







share|improve this question











$endgroup$












  • $begingroup$
    is that a 6 or a 9? or can it be both? thanks!
    $endgroup$
    – Omega Krypton
    Jan 22 at 13:53










  • $begingroup$
    @OmegaKrypton it's a 6, I completely forgot 9 was 6 upside down, lol!
    $endgroup$
    – Excited Raichu
    Jan 22 at 13:57






  • 1




    $begingroup$
    Now that an answer has been accepted, I'll add that they are called Sicherman dice.
    $endgroup$
    – Jaap Scherphuis
    Jan 22 at 15:51


















7












$begingroup$


I have a pair of odd six-sided dice at my house... I don't quite remember where I got them.



Each die has only one number on each side, and each of these numbers is a positive number.



Each pair of opposite faces sums to the same number on each individual die (but not necessarily the same across both dice)



Furthermore, the two dice, when rolled together, have the same probability of coming up a certain number as two six sided dice coming up with the same number.



Here are my drawings of three faces from each die:



enter image description here



(the 6 on the top drawing is actually a 6)



To solve the puzzle, all you have to do is:




Draw a complete cube net of each die.




Good luck and happy puzzling!






logical-deduction visual dice







share|improve this question











$endgroup$












  • $begingroup$
    is that a 6 or a 9? or can it be both? thanks!
    $endgroup$
    – Omega Krypton
    Jan 22 at 13:53










  • $begingroup$
    @OmegaKrypton it's a 6, I completely forgot 9 was 6 upside down, lol!
    $endgroup$
    – Excited Raichu
    Jan 22 at 13:57






  • 1




    $begingroup$
    Now that an answer has been accepted, I'll add that they are called Sicherman dice.
    $endgroup$
    – Jaap Scherphuis
    Jan 22 at 15:51
















7












7








7


2



$begingroup$


I have a pair of odd six-sided dice at my house... I don't quite remember where I got them.



Each die has only one number on each side, and each of these numbers is a positive number.



Each pair of opposite faces sums to the same number on each individual die (but not necessarily the same across both dice)



Furthermore, the two dice, when rolled together, have the same probability of coming up a certain number as two six sided dice coming up with the same number.



Here are my drawings of three faces from each die:



enter image description here



(the 6 on the top drawing is actually a 6)



To solve the puzzle, all you have to do is:




Draw a complete cube net of each die.




Good luck and happy puzzling!






logical-deduction visual dice







share|improve this question











$endgroup$




I have a pair of odd six-sided dice at my house... I don't quite remember where I got them.



Each die has only one number on each side, and each of these numbers is a positive number.



Each pair of opposite faces sums to the same number on each individual die (but not necessarily the same across both dice)



Furthermore, the two dice, when rolled together, have the same probability of coming up a certain number as two six sided dice coming up with the same number.



Here are my drawings of three faces from each die:



enter image description here



(the 6 on the top drawing is actually a 6)



To solve the puzzle, all you have to do is:




Draw a complete cube net of each die.




Good luck and happy puzzling!






logical-deduction visual dice




logical-deduction visual dice






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Jan 22 at 22:33









Acccumulation

504111




504111










asked Jan 22 at 13:49









Excited RaichuExcited Raichu

6,51521166




6,51521166












  • $begingroup$
    is that a 6 or a 9? or can it be both? thanks!
    $endgroup$
    – Omega Krypton
    Jan 22 at 13:53










  • $begingroup$
    @OmegaKrypton it's a 6, I completely forgot 9 was 6 upside down, lol!
    $endgroup$
    – Excited Raichu
    Jan 22 at 13:57






  • 1




    $begingroup$
    Now that an answer has been accepted, I'll add that they are called Sicherman dice.
    $endgroup$
    – Jaap Scherphuis
    Jan 22 at 15:51




















  • $begingroup$
    is that a 6 or a 9? or can it be both? thanks!
    $endgroup$
    – Omega Krypton
    Jan 22 at 13:53










  • $begingroup$
    @OmegaKrypton it's a 6, I completely forgot 9 was 6 upside down, lol!
    $endgroup$
    – Excited Raichu
    Jan 22 at 13:57






  • 1




    $begingroup$
    Now that an answer has been accepted, I'll add that they are called Sicherman dice.
    $endgroup$
    – Jaap Scherphuis
    Jan 22 at 15:51


















$begingroup$
is that a 6 or a 9? or can it be both? thanks!
$endgroup$
– Omega Krypton
Jan 22 at 13:53




$begingroup$
is that a 6 or a 9? or can it be both? thanks!
$endgroup$
– Omega Krypton
Jan 22 at 13:53












$begingroup$
@OmegaKrypton it's a 6, I completely forgot 9 was 6 upside down, lol!
$endgroup$
– Excited Raichu
Jan 22 at 13:57




$begingroup$
@OmegaKrypton it's a 6, I completely forgot 9 was 6 upside down, lol!
$endgroup$
– Excited Raichu
Jan 22 at 13:57




1




1




$begingroup$
Now that an answer has been accepted, I'll add that they are called Sicherman dice.
$endgroup$
– Jaap Scherphuis
Jan 22 at 15:51






$begingroup$
Now that an answer has been accepted, I'll add that they are called Sicherman dice.
$endgroup$
– Jaap Scherphuis
Jan 22 at 15:51












1 Answer
1






active

oldest

votes


















14












$begingroup$

Easy:




To get a 2 we need a 1 on the 224 die, and this must be opposite the 4, so 1,2,2,3,3,4, and we also need a 12, which must be 4+8, so the other die is 1,3,4,5,6,8.







share|improve this answer









$endgroup$









  • 1




    $begingroup$
    In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
    $endgroup$
    – supercat
    Jan 22 at 16:48










  • $begingroup$
    not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
    $endgroup$
    – JonMark Perry
    Jan 22 at 17:00











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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









14












$begingroup$

Easy:




To get a 2 we need a 1 on the 224 die, and this must be opposite the 4, so 1,2,2,3,3,4, and we also need a 12, which must be 4+8, so the other die is 1,3,4,5,6,8.







share|improve this answer









$endgroup$









  • 1




    $begingroup$
    In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
    $endgroup$
    – supercat
    Jan 22 at 16:48










  • $begingroup$
    not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
    $endgroup$
    – JonMark Perry
    Jan 22 at 17:00
















14












$begingroup$

Easy:




To get a 2 we need a 1 on the 224 die, and this must be opposite the 4, so 1,2,2,3,3,4, and we also need a 12, which must be 4+8, so the other die is 1,3,4,5,6,8.







share|improve this answer









$endgroup$









  • 1




    $begingroup$
    In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
    $endgroup$
    – supercat
    Jan 22 at 16:48










  • $begingroup$
    not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
    $endgroup$
    – JonMark Perry
    Jan 22 at 17:00














14












14








14





$begingroup$

Easy:




To get a 2 we need a 1 on the 224 die, and this must be opposite the 4, so 1,2,2,3,3,4, and we also need a 12, which must be 4+8, so the other die is 1,3,4,5,6,8.







share|improve this answer









$endgroup$



Easy:




To get a 2 we need a 1 on the 224 die, and this must be opposite the 4, so 1,2,2,3,3,4, and we also need a 12, which must be 4+8, so the other die is 1,3,4,5,6,8.








share|improve this answer












share|improve this answer



share|improve this answer










answered Jan 22 at 13:59









JonMark PerryJonMark Perry

19.2k63991




19.2k63991








  • 1




    $begingroup$
    In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
    $endgroup$
    – supercat
    Jan 22 at 16:48










  • $begingroup$
    not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
    $endgroup$
    – JonMark Perry
    Jan 22 at 17:00














  • 1




    $begingroup$
    In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
    $endgroup$
    – supercat
    Jan 22 at 16:48










  • $begingroup$
    not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
    $endgroup$
    – JonMark Perry
    Jan 22 at 17:00








1




1




$begingroup$
In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
$endgroup$
– supercat
Jan 22 at 16:48




$begingroup$
In the absence of the requirement that opposite faces on a given die sum to equal values, would there be any other solutions (beyond the obvious permutations)?
$endgroup$
– supercat
Jan 22 at 16:48












$begingroup$
not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
$endgroup$
– JonMark Perry
Jan 22 at 17:00




$begingroup$
not according to en.wikipedia.org/wiki/Sicherman_dice#Mathematical_justification; @supercat
$endgroup$
– JonMark Perry
Jan 22 at 17:00


















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