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+--- Thread: Pandigital fun (/thread-8210.html)
Pandigital fun - Paul Dale - 04-20-2017 09:42 AM
Have a look at this paper.
Pandigital representations of numbers up to 11111 where the digits are in ascending or descending order and only basic operations are used.
Code:
41 = 12 − 34 − 5 + 67 − 8 + 9Pauli
RE: Pandigital fun - pier4r - 04-20-2017 10:48 AM
Just saw a video on numberphile about this and I wanted to create a programming challenge (limited to 3 digits numbers, that is already enough for a calculator).
But you spoiled it
. Well no, I can do it nevertheless using the paper for checking the solutions.
RE: Pandigital fun - Gerson W. Barbosa - 04-20-2017 12:53 PM
(04-20-2017 10:48 AM)pier4r Wrote: Just saw a video on numberphile about this and I wanted to create a programming challenge (limited to 3 digits numbers, that is already enough for a calculator).
What about another kind of fun?
Evaluate this:
![[Image: Pandigitalapproximation_zpse080bdae.png]](http://i918.photobucket.com/albums/ad30/gwbarbosa/Pandigitalapproximation_zpse080bdae.png)
Evaluate that:
![[Image: Pandigitalapproximation_2_zpsbe650033.png]](http://i918.photobucket.com/albums/ad30/gwbarbosa/Pandigitalapproximation_2_zpsbe650033.png)
Random order and ascending order. Descending order still missing...
RE: Pandigital fun - pier4r - 04-20-2017 02:30 PM
Well Gerson, while computing Pi in that way is fun, to me it is already a challenge to break down numbers.
In particular I like the idea of using only one digit and the four operations (plus powers and parentheses).
For example given 998 and 1.
998 = (11-1)^(1+1+1)- 1 -1
The hard part: having the smallest number of 1s used on the right side. And then doing the same with 2, 3 and so on. The mentioned video links to a paper with the solutions. It is still a nice challenge, so I will formalize it in some days. Calculator wise (we don't want to use the modern home supercomputers, do we?)