An exercise: DRAWING A PARISIAN FENCE
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hmm..just..wow..clearly u know some maths .
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Wahoo! "bravo" Taff
_ and I feel the result beautiful 
Now I know it can be done, I want to find the way: with your indications but without open your skp yet.
and I'm actually in front of the picture expecting something stand up from my perplexity
I shall come back
*simon
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@simon le bon said:
...and I'm actually in front of the picture expecting something stand up from my perplexity
Simon,
As I wrote earlier, I had a couple of false starts, until I studied the picture more closely...
Each unit/increment is half of a sine wave (crest-to-trough, or trough-to-crest.) I finally recognized that each diamond was 6-units wide, having 5-unit side lengths. Only then would model components fit together properly.-Taff
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@simon le bon said:
I know it's not the subject of this thread, but that image would make a great map with an opacity mask on it
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True, I was also thinking about it. You can easily make it tilable horizontally, too - the only problem is that vertically it should be a bit higher so that you could apply it on more various (although of course, still limited) height.
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Dear Taff,
I go slow, step by step. It is so cool to get you as professor
1)how to make a sine-wave.
2)anatomy of the braided fence
Re I see 6 but not 5 1/2 sine-waves:?:
OK we'll see later!
3)some testing just to see!
..to be continued
simon -
@ely862me said:
Mr Simon,watch it, because they are now weaving.
Ely, I don't understand what that means..Well: there is a problem with my previous test.
If I use 6 by 6 half waves as shown, the wiring doesn't braid!!!
let me see...
*s -
Mr Simon,watch it, because they are now weaving.
Edited:Mr Simon,watch it, because they are NOT weaving(braiding). (sorry
not so usual words for me ) -
I meant it s not braiding.
U must follow the indication from Taff : 5 by 6(diagonal)
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Taff, you are right!
And Ely too (you are quicker than me
)
The diamond need to be done with an odd number of semi waves.If I take the same wave and use 5 semi waves:
that works perfectly.
if I analyze better the fence -( I take a pen an a shit of paper and draw the wave blindely, just looking to the picture, i discover you are right: 5x5 semi waves!)A good point
going to next step..
simon -
@unknownuser said:
shit of paper
Otherwise an excellent study to compliment Taff's Geodesic Challenge.
Look forward to the 'Loop' mathematics
Rich
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The beginning was ''almost'' easy..the next step..i dare to say, it ll be the last
,but good luck anyway! -
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OOPs!!!
OF
sheet!!!
@unknownuser said:
The beginning was ''almost'' easy..the next step..i dare to say, it ll be the last ,but good luck anyway!
I can smell it is the point! Afraid to engage the step
s
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@simon le bon said:
The diamond need to be done with an odd number of semi waves.
If I take the same wave and use 5 semi waves:
that works perfectly.Recall that I, also, had a couple of "false starts." You have just re-solved my first false start.
My second mistake involved the horizontal "rail" strips that run at the top and bottom of the fence. That spacing also has to be precise, or they won't braid, either.
(And you can't cheat, by using a different sinusoidal spacing. The fence is supposed to be made of all the same sine-wave wire.)
-Taff
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@unknownuser said:
When you have flat model, curved can be made by the Fredo Scale, no?
That should work fine, for "bending" the top hoops, and the short segments just below the top rails.
(Pilou, when I first read your post, I wasn't quite sure what you were talking about. Looking back, your idea makes sense, even though I haven't tried it.)
-Taff
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And now the coup de grace
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The fence, so far, looks too "wimpy" for my tastes.
By increasing the amplitude of the sinusoidal paths, and increasing the diameter of the tubular cross-section circle, the fence is no longer made of heavy-gauge wire, but of sturdy wrought iron:
Achieved by editing only the component definitions. No new spacing or sine-wave construction required -- only sine-amplitude scaling, and new "follow me" extrusions, using a larger circle.(There are similar wrought-iron fences in New Orleans.)
Model available in 3D Warehouse:
Parisian Fence - "Beefier" VersionOriginal model:
Parisian Fence • Exercise-Taff
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@unknownuser said:
And now the coup de grace
Sorry Taff to be so slow
(I still haven't opened you skp)
I have very carefully made a new sinusoid in order to match the 5 semi-waves of the diamond with the picture.
I agree with you that the same sine-wave have to be used for the horizontal "rail" strips,
@unknownuser said:
(And you can't cheat, by using a different sinusoidal spacing. The fence is supposed to be made of all the same sine-wave wire.)
my mind is the good positioning of them give a starting point for all the geometry.I found (evidently) the same results as you
Strangely, nothing actually leads me to your intuition of the shared spacing of 6 1/2waves !
I have next tried to see if:
The size of angles are significant in structure of the diamond ?The answer is Yes and No
The angle of the diamonds on the referential picture, taken by the upper side is about 37°
If I diminish it to 20° the braiding is still efficient, depending only of the thickness of the string.
but the point is that then the above horizontal "rail" strip doesn't match anymore at all!!
This try leads me to understand that the ideal and true angle for the diamond is 60° Then the above horizontal "rail" strip match perfectly
Now I am going to see with the curve.
My Idea is to bend the sinusoid as Pilou's way. I am going to try Chris Fullmer's Shape Bender to establish the curves..to be continued..
simon -
@simon le bon said:
This try leads me to understand that the ideal and true angle for the diamond is 60° Then the above horizontal "rail" strip match perfectly
Careful, there, Simon...
...that was my second mistaken false start! Before I discovered the semi-sinusoidal count, of 6 [NOT 6½ for the horizontal spacing.]
-Taff
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