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Another puzzle

> 10 years ago
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Shooting the breeze.
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evlPanda
evlPanda
NSW
9207 posts
evlPanda evlPanda
NSW, 9207 posts
10 Apr 2012 12:08am
Triangle made up of different building blocks.
Rearrange the blocks and a hole appears. Same triangle.

decrepit
decrepit
WA
12884 posts
decrepit decrepit
WA, 12884 posts
9 Apr 2012 10:17pm
Panda you're truly evil!!!!
cisco
cisco
QLD
12365 posts
cisco cisco
QLD, 12365 posts
10 Apr 2012 12:33am
Pythagoras would not be impressed!!!!
elbeau
elbeau
WA
988 posts
elbeau elbeau
WA, 988 posts
9 Apr 2012 10:39pm
I love this. Years ago I made a cardboard copy of this inside a drawn triangle. Mind boggling and very strange.
decrepit
decrepit
WA
12884 posts
decrepit decrepit
WA, 12884 posts
9 Apr 2012 10:47pm
total area = 13 x 5 /2 =32.5

red triangle = 8 x 3 /2 = 12
blue = 5 x 2 /2 = 5
yellow = 5 + 2 = 7
green = 5 + 3 = 8
total of parts = 32


Hmmmmmm????????
Mark _australia
Mark _australia
WA
23680 posts
Mark _australia Mark _australia
WA, 23680 posts
9 Apr 2012 10:52pm
Looks like Benetton sponsored the local kite competition
Seeing as though they need ramps and PVC rail slider doo-hickeys to copy every other kewl-OMG-I'm-so-sik sport

Oh yeah geometry. Sorry.......

Anway it is not a hole, a hole is enclosed on all sides.... it is a cut-out or checkout or groove, not a hole

That's why I didn't get it
decrepit
decrepit
WA
12884 posts
decrepit decrepit
WA, 12884 posts
9 Apr 2012 10:58pm
Mark _australia said...

>>>>>
Anway it is not a hole, a hole is enclosed on all sides.... >>>>


You could start an even deeper philosophical argument here Mark, does a hole have to be completly "enclosed"????
Mark _australia
Mark _australia
WA
23680 posts
Mark _australia Mark _australia
WA, 23680 posts
9 Apr 2012 11:02pm
decrepit said...

Mark _australia said...

>>>>>
Anway it is not a hole, a hole is enclosed on all sides.... >>>>


You could start an even deeper philosophical argument here Mark, does a hole have to be completly "enclosed"????


Of course it does.
Drill a hole in a flat board, it is a hole.
As soon as it contacts the edge and breaks through it is a checkout, groove, whatever, but not a hole
Pedantic - but nevertheless my excuse for not 'getting' the triangle puzzle
Squid Lips
Squid Lips
WA
708 posts
Squid Lips Squid Lips
WA, 708 posts
9 Apr 2012 11:04pm
The red and blue triangles are not "similar", therefore the hypotenuse of the overall triangle is not a straight line

Mark _australia
Mark _australia
WA
23680 posts
Mark _australia Mark _australia
WA, 23680 posts
9 Apr 2012 11:14pm
Squid Lips said...

The red and blue triangles are not "similar", therefore the hypotenuse of the overall triangle is not a straight line



I had no idea then looked closer. Blue triangle is exactly 2:5 gradient.
Red triangle is about 1.8 or 1.9 :5

Well spotted! - not the same triangle

(and it is not a hole )
decrepit
decrepit
WA
12884 posts
decrepit decrepit
WA, 12884 posts
9 Apr 2012 11:17pm
Yeah when you draw the big triangle on graph paper, the red and blue triangles aren't exactly 8 x 3 or 5 x 2, it's slightly less than 2 and slightly more than 3.

So the hypotenuse either bends up or down.
Amazing how little is needed to give you an extra square.
Subsonic
Subsonic
WA
3415 posts
Subsonic Subsonic
WA, 3415 posts
9 Apr 2012 11:19pm
Squid Lips said...

The red and blue triangles are not "similar", therefore the hypotenuse of the overall triangle is not a straight line




What he said, the hypotenuse on the red and blue triangles follow ever so slightly different angles I suppose this means technically theyre not true triangles?
Mark _australia
Mark _australia
WA
23680 posts
Mark _australia Mark _australia
WA, 23680 posts
9 Apr 2012 11:21pm
So u slide one along and it changes the angle slightly.

'panda has invented a variable rocker jig.

evlPanda
evlPanda
NSW
9207 posts
evlPanda evlPanda
NSW, 9207 posts
10 Apr 2012 2:10pm
Squid Lips said...

The red and blue triangles are not "similar", therefore the hypotenuse of the overall triangle is not a straight line




Correct. This trick was invented my a magician, so... well it's just some forum fun.

en.wikipedia.org/wiki/Missing_square_puzzle
GreenPat
GreenPat
QLD
4105 posts
GreenPat GreenPat
QLD, 4105 posts
10 Apr 2012 2:13pm
Subsonic said...


What he said, the hypotenuse on the red and blue triangles follow ever so slightly different angles I suppose this means technically theyre not true triangles?


Blue is a true triangle, red is a true triangle, there are no other true triangles drawn there.
Poida
Poida
WA
1922 posts
Poida Poida
WA, 1922 posts
10 Apr 2012 1:03pm
maths does not lie, but you can bend it

Subsonic
Subsonic
WA
3415 posts
Subsonic Subsonic
WA, 3415 posts
10 Apr 2012 7:53pm
GreenPat said...

Subsonic said...


What he said, the hypotenuse on the red and blue triangles follow ever so slightly different angles I suppose this means technically theyre not true triangles?


Blue is a true triangle, red is a true triangle, there are no other true triangles drawn there.


yep, was referring to the two larger "triangles" not being triangles as one technically has four points and the other one has a fourth inverted point

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