4minutes Posted April 14, 2011 Report Share Posted April 14, 2011 hey, everything is ok but i have a problem with drawing this images. does anyone know a programme that i can use for drawing them? I've tried to draw them on paint but that doesnt work I've got only 20 hours left please help!! Reply Link to post Share on other sites More sharing options...
A to Zed Posted April 14, 2011 Report Share Posted April 14, 2011 I haven't gone through the entire thread however I plan to, but I'd like a few questions answered right away.Is it necessary to have some sort of formal introduction to the topic of stellar numbers? And out of curiosity do stellar numbers and triangular numbers have any real life applications? Reply Link to post Share on other sites More sharing options...
dessskris Posted April 15, 2011 Report Share Posted April 15, 2011 hey, everything is ok but i have a problem with drawing this images. does anyone know a programme that i can use for drawing them? I've tried to draw them on paint but that doesnt work I've got only 20 hours left please help!!I think there is a link posted somewhere on this thread containing the diagrams of all stellar numbers.I haven't gone through the entire thread however I plan to, but I'd like a few questions answered right away.Is it necessary to have some sort of formal introduction to the topic of stellar numbers? And out of curiosity do stellar numbers and triangular numbers have any real life applications?good that you plan to do that yes yes of course!and not really, not much real-life application I guess. Reply Link to post Share on other sites More sharing options...
A to Zed Posted April 20, 2011 Report Share Posted April 20, 2011 (edited) Oh ok thanks desss; one more question, can anyone give me any hints on how i can "test the validity of the general statement"? I've already have the general statement for the stellar number sequences.EDIT -Nevermind I'll probably just find a way to BS it... and sound intelligent, this is due tommorrow anyways. Edited April 20, 2011 by Austin Glau no text speak Reply Link to post Share on other sites More sharing options...
dessskris Posted April 20, 2011 Report Share Posted April 20, 2011 you can test for more numbers or try to prove using different methods Reply Link to post Share on other sites More sharing options...
Lei S. Posted May 16, 2011 Report Share Posted May 16, 2011 My maths teacher told me that I have to relate stellar numbers to triangle numbers. I had tought that it should have been done if not it wouldnt have been in the same portfolio haha well...can anyone explain me how to relate triangle numbers to stellar numbers?? please I have to hand in the final version of the portfolio by this week thank you! Reply Link to post Share on other sites More sharing options...
chrypton Posted May 16, 2011 Report Share Posted May 16, 2011 Care sharing some more information? Like, what are stellar numbers? Reply Link to post Share on other sites More sharing options...
noinoeso Posted May 16, 2011 Report Share Posted May 16, 2011 In stellar numbers, I found out that there was a certain multiple that built the figure. Each time a new phase was added to the stellar figure, i noticed that a multiple was always present. This multiple adds in the same way as triangle numbers build. I made an image for my portfolio, but i dont know if can post it here, maybe i will be giving the direct answer. If moderator let me post it, i will Hope this is not confusing. Its hard to explain without giving the answer. Reply Link to post Share on other sites More sharing options...
dessskris Posted May 17, 2011 Report Share Posted May 17, 2011 don't you realise that the stars are actually made up of p intersecting triangles with one dot inside? or you can also see it in a different way and find it in another way... what did you do to find the conjecture of the stellar number? if you find it algebraically you will see that it uses the conjecture of the triangular numbers. well it depends on how you see it, really!or you can also see it the way noinoeso does. there are many ways! just try to see the stellar shapes in a different way looking for unique patterns in the shape. Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 24, 2011 Report Share Posted May 24, 2011 Hi everyone,I have a question which is whether the general statement is a formula or is it written, like a few sentences which say the formula in words?Thanks!!! Reply Link to post Share on other sites More sharing options...
dessskris Posted May 25, 2011 Report Share Posted May 25, 2011 because it's a mathematics internal assessment, the general statement is a formula. Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 25, 2011 Report Share Posted May 25, 2011 Thanks I know that probably sounded like a stupid question Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 25, 2011 Report Share Posted May 25, 2011 STELLAR NUMBERS PORTFOLIO OUTLINEIntroductionTriangular Numbers IntroTriangular Numbers Table of values of n and nth termTriangular Numbers General StatementTriangular Numbers ConclusionStellar Numbers Intro6-Stellar Numbers Table of values of n and Sn6-Stellar Numbers General Statementx-Stellar Numbers Table of values of n and Snx-Stellar Numbers General Statementy-Stellar Numbers Table of values of n and Sny-Stellar Numbers General Statementz-Stellar Numbers Table of values of n and Snz-Stellar Numbers General StatementStellar Numbers Table of Summary of general statements when p = 6, x, y, zStellar Numbers General Statement in terms of p and nStellar Numbers Informal ProofStellar Numbers Scope and Limitations of the General StatementStellar Numbers ConclusionFinal ConclusionGeneral Math IA Guidelines can be found in this thread.what do you mean tables of n and the nth term? Reply Link to post Share on other sites More sharing options...
dessskris Posted May 25, 2011 Report Share Posted May 25, 2011 like when p=6,when n=1, there is only 1 dot.when n=2, there are 13 dots.when n=3, there are 37 dots.etc etc... Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 25, 2011 Report Share Posted May 25, 2011 I found the correct general statement for the triangular numbers, however I proved it geometrically. So I formed the dots into right angle triangles and then doubled them to form rectangles. I found the "area" or the amount of dots in each rectangle which was n(n+1) and then divided by two since I was only interested in the number of dots in the triangle. Is it a problem if I did not use sequences but did it this way? or is there a preferred way to do it?Can anyone please help with the stellar numbers I have no idea how to beginthanks sooo much! Reply Link to post Share on other sites More sharing options...
dessskris Posted May 25, 2011 Report Share Posted May 25, 2011 it's acceptable. it's an interesting method IMO. it's still mathematics anyway, so I'd say it wouldn't be a problem. there are many ways to find the general statements (for both triangular numbers and stellar numbers) so don't worry if you do it differently with your friend I'd suggest you to observe, analyse the pattern first. once you see the pattern and realise that it's got something to do with the triangular numbers you'll know how to find the general statement. there are many, various ways! do you see the pattern, first? Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 25, 2011 Report Share Posted May 25, 2011 it's acceptable. it's an interesting method IMO. it's still mathematics anyway, so I'd say it wouldn't be a problem. there are many ways to find the general statements (for both triangular numbers and stellar numbers) so don't worry if you do it differently with your friend I'd suggest you to observe, analyse the pattern first. once you see the pattern and realise that it's got something to do with the triangular numbers you'll know how to find the general statement. there are many, various ways! do you see the pattern, first? yeah well I have already found the general statement: it is n(n+1)/2 right? Reply Link to post Share on other sites More sharing options...
dessskris Posted May 25, 2011 Report Share Posted May 25, 2011 I think you've said that... but weren't you asking about the stellar numbers? Reply Link to post Share on other sites More sharing options...
IB 2012 Posted May 25, 2011 Report Share Posted May 25, 2011 oh ok yeah youre right, I thought you were referring to the triangular numbers ... well i guess the pattern is that the number of dots keep increasing by multiples of 12, so 12, 24, 36, 48, 60 ... Reply Link to post Share on other sites More sharing options...
dessskris Posted May 25, 2011 Report Share Posted May 25, 2011 yes yes yes right. how do you think you can express 12 in terms of p? and how would you form the general statement? play with it... think.. come back here if you need more clue. Reply Link to post Share on other sites More sharing options...
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