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Author Topic: Math/geometry Question  (Read 1559 times)

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Offline Sandwich

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Math/geometry Question
on: April 07, 2016, 08:24:59 am
I'm trying to figure out SVG hexagons. I want to find some size values that result in integers. I know that the height of a hexagon is height = sqrt(3)/2 * width. I'd like 'height' and 'width' to be integers.

So the question is, can the square root of 3, divided by 2, be multiplied by some integer to result in another integer? :)
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Offline The E

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Re: Math/geometry Question
Reply #1 on: April 07, 2016, 08:35:56 am
Short answer: No.

Slightly longer answer: Given that sqrt(3) is an irrational number, no integer exists that, when multiplied by sqrt(3), results in another integer.
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Offline Phantom Hoover

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Re: Math/geometry Question
Reply #2 on: April 07, 2016, 11:13:54 am
Longer answer still: no, and you can't trisect the angle on its corner with a straightedge and compass either.
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Offline GhylTarvoke

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Re: Math/geometry Question
Reply #3 on: April 07, 2016, 11:19:10 am
No integer except zero.    :p
  

Offline Bobboau

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Re: Math/geometry Question
Reply #4 on: April 07, 2016, 11:39:51 am
You know... I didn't see a constraint about this needing to be a regular hexagon.
You can just squish the thing to be any integer in any direction you want.
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Re: Math/geometry Question
Reply #5 on: April 07, 2016, 11:57:46 am
Well, floating point numbers only have like 8 digit precision, and double 15-16 so some 9 or 17+ digit integer should work for whatever you need that, and 64bit type has 19 IIRC.
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Offline The E

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Re: Math/geometry Question
Reply #6 on: April 07, 2016, 12:01:19 pm
Are you volunteering to search that number space for possible solutions?
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Offline Phantom Hoover

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Re: Math/geometry Question
Reply #7 on: April 07, 2016, 02:07:40 pm
Quote from: Kobrar44 on April 07, 2016, 11:57:46 am
Well, floating point numbers only have like 8 digit precision, and double 15-16 so some 9 or 17+ digit integer should work for whatever you need that, and 64bit type has 19 IIRC.

OK you've misunderstood floats a fair bit here; anyway, what you're describing is basically no different to just using the float approximation of sqrt(3).
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Offline Sandwich

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Re: Math/geometry Question
Reply #8 on: April 07, 2016, 04:31:28 pm
Quote from: The E on April 07, 2016, 08:35:56 am
Given that sqrt(3) is an irrational number...

It makes perfect sense though.... :nervous:

Ok, thanks guys. Just checking. I found a few options that are "close enough" (one integer in the 100-200 range resulted in a number that had .0023###-something tacked on to it, which is near enough for web accuracy IMO).
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"The very essence of tolerance rests on the fact that we have to be intolerant of intolerance. Stretching right back to Kant, through the Frankfurt School and up to today, liberalism means that we can do anything we like as long as we don't hurt others. This means that if we are tolerant of others' intolerance - especially when that intolerance is a call for genocide - then all we are doing is allowing that intolerance to flourish, and allowing the violence that will spring from that intolerance to continue unabated." - Bren Carlill
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