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Re: How many triangles can you fit into a square...?

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SongofSwords is not online. SongofSwords
Joined: 10 Feb 2013
Total Posts: 40697
25 Oct 2015 12:09 PM
I've come up with 'infinite' as my answer, but is that really true? Is it possible that the answer is a finite number? If it's something theoretical in geometry, are units really required? And what are units if it's an imaginary plane that doesn't exist in reality? If numbers can be infinitely small, does that mean our triangles are infinitely small? Can something in our mind be infinitely small? What's the smallest image we can imagine in our mind? Is it possible to have something that small? If we think about something really small, don't we usually just imagine it as nothing since once something gets to a certain level of microscopic size, we can no longer see it? But can out minds see it? Can our minds see something that's really, really small without our eyes seeing it because we're imagining it rather than seeing it?
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SporkSporkFirework is not online. SporkSporkFirework
Joined: 26 Sep 2015
Total Posts: 4503
25 Oct 2015 12:10 PM
Depends on the size of the square, and the size of the triangles.
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SongofSwords is not online. SongofSwords
Joined: 10 Feb 2013
Total Posts: 40697
25 Oct 2015 12:12 PM
"Depends on the size of the square, and the size of the triangles."

Yes, and that is why I assumed that the answer would be infinite. I never said that the triangles within needed to take up the whole space of the rectangle, nor did I say that they were incapable of overlapping. Thus, if we drew a diagram of this, we would be continuously adding triangles of different sizes in different locations to the rectangle. The rectangle's size wouldn't be definite, either, however, so how would we know where we are fitting the triangles? So would that mean that one possible rectangle would have more triangles than another, based off of its size? Is that proof that we can have infinities that are bigger than other infinities?
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SongofSwords is not online. SongofSwords
Joined: 10 Feb 2013
Total Posts: 40697
25 Oct 2015 12:16 PM
How come when I ask a question or say something it's so much easier for me to wrap my head around the question than it is for me to receive a question being asked of me and wrap my head around it? Is that because when one asks a question they don't necessarily intend to answer it, whereas when one receives a question they are compelled to answer it? Or is it because when one asks a question, they intuitively tie together the right amount of prior knowledge and observations to ask the question and only need to undergo the extra step of answering it, whereas when you receive a question you need to both take in the question and forcefully tie connections to the question and then go through the effort of answering it?
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fitemenub is not online. fitemenub
Joined: 26 Aug 2013
Total Posts: 9925
25 Oct 2015 12:17 PM
2 triangles
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Latchie is not online. Latchie
Joined: 21 Nov 2010
Total Posts: 24558
25 Oct 2015 12:17 PM
like 7

kill the pig / cut his throat / bash him in
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ColorfulBrendon is not online. ColorfulBrendon
Joined: 28 Jul 2010
Total Posts: 23556
25 Oct 2015 12:17 PM
is this even a real question

the question lacks dimensions of the square but the size of the square is irrelevant

if you want you can just keep cutting it into smaller triangles as you please

shapes aren't exactly physical objects so what makes something a triangle within a square is left undefined
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Xgregor68x is not online. Xgregor68x
Joined: 17 Mar 2013
Total Posts: 829
25 Oct 2015 12:18 PM
stop ruining the cancer
this is not school
your post is ruining cancer, and taking over with ebola

Gregor- the forums most troll trashposter ever for your entertainment :)
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1AGGER is not online. 1AGGER
Joined: 01 Feb 2011
Total Posts: 1807
25 Oct 2015 12:20 PM
lets see if you give us a square with the size of 4 by 4

you could fit a triangle by 3.9 by 3.9 by 3.9
and then 3.8 by 3.8 by 3.8

and then you could continue by always making it smaller

so it might be infinite
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SongofSwords is not online. SongofSwords
Joined: 10 Feb 2013
Total Posts: 40697
25 Oct 2015 12:20 PM
"is this even a real question

the question lacks dimensions of the square but the size of the square is irrelevant

if you want you can just keep cutting it into smaller triangles as you please

shapes aren't exactly physical objects so what makes something a triangle within a square is left undefined"

How can a question be real or fake? Being able to be answered does not define a question.
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BrandonS677 is not online. BrandonS677
Joined: 03 Dec 2010
Total Posts: 20441
25 Oct 2015 12:21 PM
Infinite because the triangles can get smaller inside the triangles.
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Romeeeo is not online. Romeeeo
Joined: 18 Jan 2014
Total Posts: 7188
25 Oct 2015 12:23 PM
actually it would be infinite.

the square's size is irrelevant, because it would all be proportioned out.

u can keep cutting them smaller and smaller even past when the size is .0000000000000000000000000000000001

so yeah it is infinite
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Latchie is not online. Latchie
Joined: 21 Nov 2010
Total Posts: 24558
25 Oct 2015 12:24 PM
but in a way that wouldnt be infinite

if the box was 10000 units and the triangles were like .0000000000000000001 it would be a ridiculously large number of times but it would still technically be not infinite

so unless the box is infinite in size there is some kind of exact number

kill the pig / cut his throat / bash him in
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walrus112 is not online. walrus112
Joined: 06 Dec 2013
Total Posts: 8277
25 Oct 2015 12:26 PM
Infinite
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BillabobIgnus is not online. BillabobIgnus
Joined: 25 Jul 2014
Total Posts: 29998
25 Oct 2015 12:26 PM
minimum 2, maximum infinity

Sorry, my cat typed thatㅤ
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Qwazilla is not online. Qwazilla
Joined: 10 Dec 2014
Total Posts: 4351
25 Oct 2015 12:27 PM
What a dumb question
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ColorfulBrendon is not online. ColorfulBrendon
Joined: 28 Jul 2010
Total Posts: 23556
25 Oct 2015 12:28 PM
"How can a question be real or fake? Being able to be answered does not define a question."

don't play dumb
it shouldn't be hard to tell that my question was not whether or not the question had an answer but rather if you were being serious about it when asking it
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Darkage6551 is not online. Darkage6551
Joined: 30 Jun 2013
Total Posts: 6097
25 Oct 2015 12:28 PM
three
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Romeeeo is not online. Romeeeo
Joined: 18 Jan 2014
Total Posts: 7188
25 Oct 2015 06:32 PM
no, it would be infinite.

remember that lines do not have a size, they appear to but they do not.

now consider this theorem/postulate type thing: if you have a triangle you can make it into two smaller triangles.

that is true, just cut it in half. and it keeps going. even when you have triangles with 0.00000000000000000000000000000000000000000001 area and you can still keep going. if you wanted to visualize you would pretty much imagine a filled up square due to all the lines.

but yes, the answer is infinite.
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