Paddleducks
General => Chat & Off Topic Stuff => Topic started by: Eddy Matthews on March 17, 2007, 08:23:49 PM
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Okay, all you mathematical geniuses out there.... Explain this one, it's driving me nuts!
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The master shape isn't a triangle.
The dark green has a slope of 2/5 = 0.4
The red shape has a slope of 3/8 = 0.375.
In the top arrangement, the shapes are concave compared to a pure 5x 13 triangle.
In the lower arrangement, the shapes are convex compared to a pure 5x13 triangle.
The difference adds up to 1 unit.
A 5x13 has an area of (5x13)/2 = 32.5
The four areas are:
Red: (3x8)/2 =12
dark green (2x5)/2 = 5
orange = 7
light green = 8
total: 32
In the top, they are arranged 0.5 short of the illusion; in the bottom they are arranged 0.5 above the illusion.
Regards,
Roderick B Smith
Rail News Victoria Editor
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So basically it's an optical illusion, and the answer was staring me in the face all the time - Literally!
Thanks Roderick, I knew there had to be a solution! :)
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OK.... it had me stumped with
red= 5X2 divided by 2=....... :rant ....& the sum of....= :shock: :?: :idea: :arrow: = 32 again & again :shoot
thank goodness it was an OZ :respect2 member who resolved the question.....on ya Roderick..... :beer .....Derek... I will now go back to bending bits of 5/32" brass tube :hammer :hammer
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A vaguely marine joke heard on Darwin radio news:
For our friends in the airforce, the time is 15.00
For our friends in the navy, the time is 3 pm
For our friends in the army, the big hand is on the 12 and the little hand...
Regards,
Roderick B Smith
Rail News Victoria Editor
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Hi PD's - outside of our WEBsite, my CA [Computer Associates] Internet Security Suite 2007 canned :crash the posting>>>>> possibly as being :offtopic.... :sorry ....not sure how these computer people :computer understand word structures & the like :?: :arrow: or am I missing something?................Derek