Robert Yarger
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« on: April 11, 2009, 11:05:59 AM » |
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Here is a real life math problem that I recently had to solve for my current puzzlebox project. It took me 4 hours to come up with the answer. (I have been out of school for a long time now!!!) See if any of you can solve it quicker than I did.
The illustration is symetrical and all triangles are "perfect 90 degrees" and overlap eachother producing the same area.
You will see this pattern in my next puzzlebox if all works out well.
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« Last Edit: April 11, 2009, 11:44:18 AM by Robert Yarger »
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Eric Fuller
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« Reply #1 on: April 11, 2009, 10:23:15 PM » |
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43?
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Beware the lollipop of mediocrity...lick it once and you suck forever.
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Peter Wiltshire
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« Reply #2 on: April 11, 2009, 10:35:05 PM » |
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I failed one of my math courses. There's nothing like a wasted summer than sitting in summer school taking algebra. I'll go with Eric's answer 43 has to be it  |
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When you know how the magic works, you cast the spell that brings a smile of mystification. When you don't know the sleight of hand, the trick of the eye, beware: what you see is what you don't get.
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Robert Yarger
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This is a test of the emergency broadcast system!!
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« Reply #3 on: April 11, 2009, 11:28:50 PM » |
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I think the answer is .93188. James Strayer suppled the answer.
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Robert Yarger
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This is a test of the emergency broadcast system!!
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« Reply #4 on: April 12, 2009, 01:58:37 PM » |
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Here are pics of the final product.
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Jeff Chiou
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« Reply #5 on: April 12, 2009, 03:06:00 PM » |
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I think your answer is correct (I just added a few details)
1.609 Hypotenuse H
1.138 Leg L = H/√2
2.606 Inner box width W1 = 4.156 - 2*(0.525+0.25)
0.639 Small hypotenuse h = (H+2*L-W1)/2
1.636 Inner box height H1 = 2*L - h
2.136 Middle box height H2 = H1 + 2*0.25
0.932 X = (4.0-H2)/2
-Jeff
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« Last Edit: April 13, 2009, 12:19:00 AM by Jeff Chiou »
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Robert Yarger
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« Reply #6 on: April 13, 2009, 11:28:41 AM » |
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Thanks for the answer. I cut many pieces through trial an error and just had to get an accurate figure. I've been out of school for years now and was not so fresh on the math.
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Eric Fuller
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« Reply #7 on: April 14, 2009, 12:50:22 AM » |
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Hehe...luckily the guy who works for me part time is an engineering student...I go to him for all the fussy math stuff |
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Beware the lollipop of mediocrity...lick it once and you suck forever.
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Jeff Chiou
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« Reply #8 on: April 16, 2009, 12:40:40 PM » |
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I assumed that you puzzle makers are awesome at this type of math, since your designs are so precise and complex.
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Eric Fuller
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« Reply #9 on: April 16, 2009, 02:33:08 PM » |
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I think deep down somewhere I'm good at math; I just lack the motivation and education to verbalize it well. I do solve fairly complex geometry problems from time to time, but I muddle my way through it and at the end couldn't tell you how I figured it out. Pretty much like my web programming methodology some to think of it  |
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Beware the lollipop of mediocrity...lick it once and you suck forever.
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Robert Yarger
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This is a test of the emergency broadcast system!!
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« Reply #10 on: April 17, 2009, 11:08:42 AM » |
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I am not good at all with traditional math. I don't do well with rigid formulas that have to be memorized. I have to understand why a formula works as opposed to the actual formula itself. That is the only way I can remember it.
Usually however, I just cut based upon the shapes required for the next piece with little regard to any mathematical measurement or calculation. Every once in a while and exact calculation is required and when it does I hope that it does not involve circles or hexagons as I am the worst at those.
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« Last Edit: April 17, 2009, 11:25:42 AM by Robert Yarger »
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Scott Peterson
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« Reply #11 on: April 24, 2009, 01:14:08 AM » |
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Coming in very late - I got the same answer as Jim supplied...
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