|
|
| (15 intermediate revisions by 3 users not shown) |
| Line 1: |
Line 1: |
| == Solutions over multiple lines ==
| |
|
| |
|
| I visited the site following the link in your comments on Richard Wiseman's most recent Friday Puzzle solution, and thought I'd see if I could contribute.
| |
|
| |
| However, I can't contribute a solution because the wiki won't accept a solution that takes more than one line. For example, this doesn't work:
| |
|
| |
| <pre>{{Solution |
| |
| solution
| |
| over
| |
| multiple
| |
| lines
| |
| }}</pre>
| |
|
| |
| Pretty much all solutions will require multiple lines, so this is a real problem. I assume a "solution" means an answer with working, whereas an "answer" is just the answer by itself.
| |
|
| |
| Below is my solution to the [[7 orbs]] puzzle, which I tried to contribute:
| |
|
| |
| <pre>
| |
| Let A = set of orbs for which there are 3 or more others the same colour.
| |
| Let B = set of orbs for which there are 1 or 2 others the same colour.
| |
| Let X = set of orbs for which there are no others the same colour.
| |
|
| |
| Goal is to prove that some orb is in A.
| |
|
| |
| Possible combinations:
| |
| (using the shorthand that A denotes an orb that's in A, etc)
| |
|
| |
| A A A A A A A
| |
| A A A A A A X
| |
| A A A A A B B
| |
| A A A A A X X
| |
| A A A A B B B
| |
| A A A A B B X
| |
| A A A A X X X
| |
|
| |
| Label the orbs 1, 2, 3, 4, 5, 6, 7 and test 1&2, 3&4, 5&6.
| |
|
| |
| Comparing the results of testing those three pairs with the possible combinations, you can easily show that:
| |
|
| |
| If two tested pairs glow the same colour, all members of those pairs are in A
| |
| If only one of the three tested pairs glows, members of that pair are in A
| |
| If two tested pairs glow different colours and the other doesn't glow, orb 7 is in A
| |
| If no tested pairs glow, orb 7 is in A.
| |
|
| |
| In all cases, three tests suffice to prove that some orb is in A.
| |
|
| |
| The only other thing required is to prove that two tests are not necessarily sufficient, which is trivial.
| |
| </pre>
| |
|
| |
| Is that the sort of thing you're looking for? [[User:Zerrakhi|Zerrakhi]] 12:16, 11 October 2010 (EDT)
| |
|
| |
| : Yes that is the sort of thing I'm looking for. I'll see if I can fix the multiple lines problem. [[User:Oscarlevin|Oscarlevin]] 15:06, 11 October 2010 (EDT)
| |
|
| |
| : So I can't seem to replicate your problem. Is it just that the lines are not breaking? Like this:
| |
| {{Solution |
| |
| solution
| |
| over
| |
| multiple
| |
| lines
| |
| }}
| |
| : Because that can be fixed will a line break between them, as in:
| |
|
| |
| {{Solution |
| |
| solution
| |
|
| |
| over
| |
|
| |
| multiple
| |
|
| |
| lines
| |
| }}
| |
| : Or is there some other problem? [[User:Oscarlevin|Oscarlevin]] 15:25, 11 October 2010 (EDT)
| |
| ::The problem wasn't with your multiple lines, it was with the = sign. Templates allow you to have named parameters, which you assign with =. I don't know if there is a workaround for this. [[User:Oscarlevin|Oscarlevin]] 15:41, 11 October 2010 (EDT)
| |
|
| |
| ::: Ah. Never thought of that. I just tested in preview mode, and found that nowiki tags around the = sign seemed to work. I've written something up on the [[Help:Editing | Editing Help]] page. [[User:Zerrakhi|Zerrakhi]] 19:27, 11 October 2010 (EDT)
| |
|
| |
| == No link in email ==
| |
|
| |
| The email received upon registration, the one containing the words "open this link in your browser", does not actually contain any links or URLs to open! [[User:Zerrakhi|Zerrakhi]] 12:27, 11 October 2010 (EDT)
| |
|
| |
| : Did the email you get contain a bunch of <nowiki><math></math></nowiki> tags? I'm using an extension that switches dollar signs to math mode (ala LaTeX), and it has screwed up a lot of the system messages. I'll see if I can fix this too. [[User:Oscarlevin|Oscarlevin]] 15:06, 11 October 2010 (EDT)
| |
|
| |
| :: Yes, that's right. [[User:Zerrakhi|Zerrakhi]] 19:27, 11 October 2010 (EDT)
| |
|
| |
| ::: This should be fixed now. Just testing a few things out. [[User:Test1|Test1]] 22:03, 11 October 2010 (EDT)
| |
|
| |
| == More questions ==
| |
|
| |
| I'm wondering why only a few puzzles are in the [[:Category:Needs_solution | needs solution]] category, and likewise for other similar categories. What's special about ''those'' puzzles in particular?
| |
|
| |
| Because the [[7 orbs]] puzzle is listed first on the front page, I assumed it was representative, and that all puzzles would have a hint, answer and solution in the same format. Now that I've seen that's not the case, I'm less sure about how I can contribute further. (Except by asking pointed questions, of course.) [[User:Zerrakhi|Zerrakhi]] 09:38, 12 October 2010 (EDT)
| |
|
| |
| : The only thing special about puzzles which have "needs ___" on them is that I happened to include that when I first put them up. Some puzzles were supplied before I had created those templates, and others after but I forgot to include the reminder. So for any puzzle you see on here that you think deserves a hint, answer or solution, feel free to provide one.
| |
|
| |
| : There are other things you can do, if you like. If you know of another puzzle, please add it. You can also improve current puzzles by giving variations, more references, links to similar puzzles, or notes on the mathematical content. In addition to being a collection of puzzles, I hope this wiki becomes a resource for math teachers. So any comments about how a particular puzzle relates to a mathematical concept are welcome. Finally, if you have any further ideas on how to improve the wiki, I'd be happy to hear them. Feedback is always good. [[User:Oscarlevin|Oscarlevin]] 10:18, 12 October 2010 (EDT)
| |
|
| |
| ::I think it would be a good idea to add a page specifically on this topic: a list of ways in which people can contribute. That would also be a good place to summarise the most important templates.
| |
|
| |
| ::Another thing that seems strange is the requirement to log in before viewing a solution. I would question the sense of that, because the audience of people interested in contributing to the wiki is distinct from the audience of people interested in using it as a resource, and members of the latter probably won't bother to create accounts (especially when most puzzles are searchable). But perhaps I misunderstand how you envision the site being used. [[User:Zerrakhi|Zerrakhi]] 06:12, 13 October 2010 (EDT)
| |