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InvisibleDiploidM
Cuban

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Registered: 01/09/03
Posts: 14,201
Loc: Rabbit Hole
Sacred Geometry... A Challenge
    #5168662 - 01/11/06 05:20 PM (6 years, 4 months ago)

Consider the following two diagrams:

 

The one on the left can be drawn with a single stroke of the pen, without lifting it once and without going back over a line. The one on the right cannot. In fact, I know a mathematical theorem that proves beyond any doubt that the one on the right is completely impossible to draw given the above constraint.

Edit: plus all the other constrains I hope are obvious to a reasonable person. Like no writing on edges or folding or soaking ink through the paper.

I challenge anyone who insists that nothing is impossible to draw the diagram on the right using a single stroke of the pen and without going over a line more than once.

If you do, I'll be your groupie for life. If you don't you must concede that some things are impossible.  :syringe:


--------------------
Wanna hear something depressing? One out of four Shroomerites wants to lock me in a government cage for using a substance they don't like.

Hard to believe, right? Read it for yourself:

http://www.shroomery.org/forums/showflat.php/Number/7874721#Post7874721


Edited by Diploid (02/16/10 04:45 PM)

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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
Posts: 179
Last seen: 5 years, 19 days
Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5168682 - 01/11/06 05:28 PM (6 years, 4 months ago)

I admit its logically impossible but it can be done and nothing is really impossible


--------------------
Wise Man Say
Smile


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Offlinephi1618
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Registered: 02/14/04
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Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5168684 - 01/11/06 05:28 PM (6 years, 4 months ago)

They are nodal diagrams. The one on the right has four nodes with odd numbers of connections.


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Offlinephi1618
old hand

Registered: 02/14/04
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Re: Sacred Geometry... A Challenge [Re: natu]
    #5168694 - 01/11/06 05:29 PM (6 years, 4 months ago)

Quote:

natu said:
I admit its logically impossible but it can be done and nothing is really impossible



WTF? I think I missed something - can you give a reason for thinking that?


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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
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Last seen: 5 years, 19 days
Re: Sacred Geometry... A Challenge [Re: phi1618]
    #5168712 - 01/11/06 05:32 PM (6 years, 4 months ago)

yea, the diagrams arent relative so why should you be able to do one like the other?


--------------------
Wise Man Say
Smile


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InvisibleDiploidM
Cuban

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Registered: 01/09/03
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Re: Sacred Geometry... A Challenge [Re: natu]
    #5168724 - 01/11/06 05:33 PM (6 years, 4 months ago)

nothing is really impossible

Back your words. Draw the 'impossible' diagram.


--------------------
Wanna hear something depressing? One out of four Shroomerites wants to lock me in a government cage for using a substance they don't like.

Hard to believe, right? Read it for yourself:

http://www.shroomery.org/forums/showflat.php/Number/7874721#Post7874721


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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
Posts: 179
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Re: Sacred Geometry... A Challenge [Re: natu]
    #5168727 - 01/11/06 05:33 PM (6 years, 4 months ago)

My reason for thinking that is that you cannot sit infront of a piece of paper and draw the diagram as stated, but

you could draw the diagram as stated.
Dont you know?
Its all illusions


--------------------
Wise Man Say
Smile


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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
Posts: 179
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Re: Sacred Geometry... A Challenge [Re: natu]
    #5168732 - 01/11/06 05:35 PM (6 years, 4 months ago)

I bet somewhere in this universe there is someone who you could give this equation too,

like a little green man sitting at his desk on Mars, and he would look at the equation inquisitevely and then solve it, no problem, and humbly, using his poop as ink.

I dontknow man. You guuys need to open up more


--------------------
Wise Man Say
Smile


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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
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Re: Sacred Geometry... A Challenge [Re: natu]
    #5168739 - 01/11/06 05:37 PM (6 years, 4 months ago)

You cannot logically conceive yourself drawing the diagram as stated,

but if you dropped that logic its already done.


--------------------
Wise Man Say
Smile


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InvisibleDiploidM
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Re: Sacred Geometry... A Challenge [Re: natu]
    #5168758 - 01/11/06 05:40 PM (6 years, 4 months ago)

but if you dropped that logic its already done. :blah:

Let's see it then.


--------------------
Wanna hear something depressing? One out of four Shroomerites wants to lock me in a government cage for using a substance they don't like.

Hard to believe, right? Read it for yourself:

http://www.shroomery.org/forums/showflat.php/Number/7874721#Post7874721


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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
Posts: 179
Last seen: 5 years, 19 days
Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5168766 - 01/11/06 05:41 PM (6 years, 4 months ago)

Youre going to have to show yourself man


--------------------
Wise Man Say
Smile


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Offlinenatu
Grow trees,smoke trees.
Registered: 01/04/06
Posts: 179
Last seen: 5 years, 19 days
Re: Sacred Geometry... A Challenge [Re: natu]
    #5168786 - 01/11/06 05:45 PM (6 years, 4 months ago)

"yea, the diagrams arent relative so why should you be able to do one like the other? "
i think this is a good point. you could not make the left hand diagram with the lines in the right hand side one.


--------------------
Wise Man Say
Smile


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Offlinefalcon
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Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5168909 - 01/11/06 06:12 PM (6 years, 4 months ago)

Draw the square and the first diagonal fold the paper so an ajacent corner touches the pen and draw your second diagonal.


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InvisibleDiploidM
Cuban

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Re: Sacred Geometry... A Challenge [Re: falcon]
    #5168926 - 01/11/06 06:16 PM (6 years, 4 months ago)

BZZT! You lifted the pen, if only by a small amount.

Stick to the rules.


--------------------
Wanna hear something depressing? One out of four Shroomerites wants to lock me in a government cage for using a substance they don't like.

Hard to believe, right? Read it for yourself:

http://www.shroomery.org/forums/showflat.php/Number/7874721#Post7874721


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OfflineJacquesCousteau
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Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5168987 - 01/11/06 06:29 PM (6 years, 4 months ago)

How is this sacred geometry? Am I missing the point?


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Offlinefalcon
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Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5169012 - 01/11/06 06:35 PM (6 years, 4 months ago)

If I start with a square peice of paper and place it on a square table the same size as the peice of paper and the table folds along the line that connects the midpoint of two opposite sides of the square and as the table folds the two edges come together without varying from the horizonal, I don't think I would have to lift the pen. :cool:




Edited by falcon (01/11/06 06:39 PM)

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Invisiblegettinjiggywithit
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Re: Sacred Geometry... A Challenge [Re: Diploid]
    #5169096 - 01/11/06 06:58 PM (6 years, 4 months ago)

Dip, for the record, I said lots of things are impossible within limitations/rules/laws. Like with the challenge, there are limitations/rules like not picking up the pen or retracing.

What happens when you take away the limitations and rules? You can trace it, big deal.

:peace: :heart:


--------------------
Ahuwale ka nane huna.


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InvisibleSclorch
Clyster

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Re: Sacred Geometry... A Challenge [Re: falcon]
    #5169140 - 01/11/06 07:11 PM (6 years, 4 months ago)

I could draw it in 3 dimensional space.


--------------------
Note: In desperate need of a cure...


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Offlinefalcon
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Re: Sacred Geometry... A Challenge [Re: Sclorch]
    #5169150 - 01/11/06 07:15 PM (6 years, 4 months ago)

I can draw it in foldable space. :wink:


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OfflineTheGus
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Re: Sacred Geometry... A Challenge [Re: falcon]
    #5169385 - 01/11/06 08:20 PM (6 years, 4 months ago)

i can do it

its simple, draw a big square, or triangle type thing, so it fits 2 sides of the shape and as you come back around draw the angles and the other lines, ive drawn a more complex one that that one without lifting my pen, if you want a picture pm me im lazy


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"It is easier to teach a computer to play chess than to build a mudpie."Sherry Turkle Life on the Screen: Identity in the Age of the Internet
"Not everything that counts can be counted, and not everything that can be counted counts"-Einstein
:mrt: I pity the fool who break traffic laws with $870,000 of drugs in the car.      -mo0nlite_sonata
Psythos


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