Saturday, 8 June 2013

open ended - What is the smallest positive number on an 8-segment array? (no repeats)



You are provided with the 8-segment array in the picture together with all the necessary electronics to make any combination of lit segments you want.


enter image description here


Fillable version for graphics. http://i.stack.imgur.com/K1hnN.png


enter image description here


What is the smallest positive number that you can display without any two boxes being identical? (A box is a grey rectangle containing 8 segments)


Any combination of segments is allowed within a box provided it is accepted by the community as a valid symbol. ('accepted' is decided by net up-votes for your answer)


Any recognised numbering system that is commonly used is allowed. If the one you use is common but little-known (perhaps because it is specialized) then you must back up your claim with a link to an authoritative source. You must also explain it precisely so that it can be understood by others.


You cannot mix numbering systems unless you can show that this is routinely done by some substantial section of the populace.



You cannot invent your own symbols or language. All symbols must be understandable and approved by the community.


The competition remains open until there has been no answer for one week. At that point (or as soon after as I am able) I shall accept the most up-voted answer (net votes).


Update




  1. The question has been put on hold--therefore I'll make an adjustment about the timescale for accepting an answer (if you want to reopen it please vote to do so).




  2. If I could wind back the clock, I would require the answers to be finite. This was an oversight because I did not think an infinite could be considered a number.





  3. Because there are answers and they have been voted on, it is too late to change the criteria. My suggestion is that people who are interested submit answers in the categories of finite or infinite numbers according to their preference. I will stick to my original criterion for acceptance. Note




You can display your answer using ASCII provided it is clear how it would look when translated into segments. Otherwise please use an actual 8-segment representation to clarify the layout of any symbols that aren't obvious.




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