Fri Mar 17, 2006 5:30 pm
first you have to know the entire size of the table and then divide that by the size of a dubloon...
to know that size, you have to asume that a dubloon is completely round so you have to use pi ^^
to know that size, you have to asume that a dubloon is completely round so you have to use pi ^^
Fri Mar 17, 2006 7:21 pm
theonlysaneone wrote:sid_basu4243 wrote:Why do I see the maths ones so late!
Here is a hint, if you arrange three dubloons in a triangle(i.e. two at the base and one on top of it), and the dubloons are 1 cm in diameter, the height of the triangle is 2+ sqrt(3) or 3.73 cm
That's completely wrong.
Sorry, I meant dubloons are 1cm in radius, not diameter.
Fri Mar 17, 2006 10:03 pm
Google "circle packing" to see how absolutely mind-boggling this problem is (note: the second link is actually the backwards of this problem). The folks making up LCs have gotten themselves into hot water with this.
Fri Mar 17, 2006 11:07 pm
sid_basu4243 wrote:theonlysaneone wrote:sid_basu4243 wrote:Why do I see the maths ones so late!
Here is a hint, if you arrange three dubloons in a triangle(i.e. two at the base and one on top of it), and the dubloons are 1 cm in diameter, the height of the triangle is 2+ sqrt(3) or 3.73 cm
That's completely wrong.
Sorry, I meant dubloons are 1cm in radius, not diameter.
That's still wrong, and you'll run into a problem when you try to tile the triangles.
Fri Mar 17, 2006 11:34 pm
Circle packing is a configuration of circles with a specified pattern of tangencies. It usually is simpler than this because the circles usually vary in radii (which affects their size) in order to fit perfectly according to their tangent patterns. What makes this one so difficult is that the dubloons all are the same size and do not vary.
The site AySz88 provides is very nice with a very simple graphical interpretation, however, if you want an absolute proper circle packing done, then the gaps in between all the circles should be three sided. If you notice, in the images, many lack having just the three-sided gaps which means they are not appropriately tangent to the other circles.
This is a very difficult problem but I love it. I love math. I'm a nerd. :-D
People may not use math for certain trivial things such as everyday shopping or what-have-you, but there are those of us who actually enjoy the fundamentals of mathematics and like being challenged through logic and problem-solving. My two favourite classes that I have ever taken are Calculus and Physics, and I'm certainly not a scientist of any sort of degree. I just really, really enjoy it because for me... it just clicks, I just understand.
But you're probably younger. When I was a freshman/sophomore/junior, I never truly valued the scope and ability in academics that I had. It was when I became a senior and began thinking about college that I started appreciating how easily things came to me and began to appreciate teachers for all they've done, and for all they try to do for students, even if the student happens to be a skipper and not show any interest in what the teacher has to say. I suggest that you might want to stop skipping and think ahead at how habits like that and how not applying yourself will affect your education, and in turn, your future.
Anyway, I'll step off my soap box now... I really digressed.
The site AySz88 provides is very nice with a very simple graphical interpretation, however, if you want an absolute proper circle packing done, then the gaps in between all the circles should be three sided. If you notice, in the images, many lack having just the three-sided gaps which means they are not appropriately tangent to the other circles.
This is a very difficult problem but I love it. I love math. I'm a nerd. :-D
44anime_babe wrote:no i know pie but im to lazy to do it and i cant remeber how to use it good .i just knowe some of it. im always skipping math period whit my home girls so how am i suppose to get better at it. and i know its my fault but really who uses algebra? only math and scientist and maybe some other people. so that is why i really dont pay attetion.
People may not use math for certain trivial things such as everyday shopping or what-have-you, but there are those of us who actually enjoy the fundamentals of mathematics and like being challenged through logic and problem-solving. My two favourite classes that I have ever taken are Calculus and Physics, and I'm certainly not a scientist of any sort of degree. I just really, really enjoy it because for me... it just clicks, I just understand.
But you're probably younger. When I was a freshman/sophomore/junior, I never truly valued the scope and ability in academics that I had. It was when I became a senior and began thinking about college that I started appreciating how easily things came to me and began to appreciate teachers for all they've done, and for all they try to do for students, even if the student happens to be a skipper and not show any interest in what the teacher has to say. I suggest that you might want to stop skipping and think ahead at how habits like that and how not applying yourself will affect your education, and in turn, your future.
Anyway, I'll step off my soap box now... I really digressed.
Sun Mar 19, 2006 12:26 pm
It's really not that hard. i'll post a link to an explanation of a question like this once the contest is over. though, i didn't calculate it. since the contest that i speak of had a question in which they pack 10000 circles into a 100x100 square, i just took their answer and divided it by 100. come to think of it, i entered the wrong answer 
. But yeah, if you're at grade 10-11 in Canada, it should be possible to do this question
. But yeah, if you're at grade 10-11 in Canada, it should be possible to do this question
Mon Mar 20, 2006 3:49 am
I finally tried this out using pennies and arrived at the same answer as theonlysaneone.
Mon Mar 20, 2006 5:53 pm
I entered the first random number that came to my head
come on random answer 
come on random answer
Mon Mar 20, 2006 8:34 pm
*points the countless Lenny C's that have required stuff like the pythag theorm, or several physics equations*
Neopets isn't just for kids. If all the lenny c's were solveable by a 6 year old, what would be the point? The harder the math on the Lenny C the better I said <_<
But regardless, this one doesn't require any complex math at all. Just some clever thinking.
Neopets isn't just for kids. If all the lenny c's were solveable by a 6 year old, what would be the point? The harder the math on the Lenny C the better I said <_<
But regardless, this one doesn't require any complex math at all. Just some clever thinking.
Tue Mar 21, 2006 3:04 pm
Haha, since I'm awful at math, I just did some random multiplying that sorta made sense to me. I'm sure it's not right, but I might as well try an answer. 