Timeline for Right angle parallelepipeds with the same greatest diagonal (the sides and greatest diagonal positive integers with g.c.d=1)
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Feb 8, 2014 at 11:39 | history | suggested | gaoxinge | CC BY-SA 3.0 |
more clear
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| Feb 8, 2014 at 11:36 | review | Suggested edits | |||
| S Feb 8, 2014 at 11:39 | |||||
| Feb 8, 2014 at 5:18 | comment | added | Vassilis Parassidis | The second term should be $a^2=(q^2+q+1)^2$ and the third $b^2=(q^2+q)^2,(q+1)^2$, and so on. (one of the sides of the parallelepiped). | |
| Feb 8, 2014 at 5:08 | history | edited | Vassilis Parassidis | CC BY-SA 3.0 |
punctuation correction
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| Feb 8, 2014 at 5:07 | comment | added | Vassilis Parassidis | If we have $a^4=b^4+c^4+d^2$ then $a=(q^2+q+1)^2$ is the greatest diagonal. $b=(q^2+q)^2, (q+1)^2$, and so on. The other two sides derive from the above material. | |
| Feb 8, 2014 at 4:18 | comment | added | Gerry Myerson | Are you just asking for square numbers that can be written as sums of three squares in more than three ways? | |
| Feb 8, 2014 at 2:46 | comment | added | Joseph O'Rourke | Could you please clarify where is the parellelopiped in these equations---which variables represent its side lengths?---and which variable (presumably $q$?) represents the largest diagonal? | |
| Feb 8, 2014 at 2:37 | history | asked | Vassilis Parassidis | CC BY-SA 3.0 |