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Offline Ber7  
#1 Posted : 30 May 2015 02:25:23(UTC)
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The grid lines are found by Dragilev Method
Method 1.
Building a line of intersection of the required surface
with the plane x = 0. This line is rotated in steps of 2 * Pi / s
about a vertical axis by an angle 2 * Pi, where s is the number of steps (the grid lines)


Edited by user 30 May 2015 02:26:55(UTC)  | Reason: Not specified

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Offline Ber7  
#2 Posted : 30 May 2015 02:39:51(UTC)
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Method 2.
The rectangular grid





Edited by user 30 May 2015 02:42:49(UTC)  | Reason: Not specified

File Attachment(s):
Algorithm.smz (10kb) downloaded 52 time(s).
Implicet.smz (14kb) downloaded 56 time(s).
ELLIPSE3d2.pdf (632kb) downloaded 55 time(s).
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Offline Ber7  
#3 Posted : 18 December 2016 00:17:47(UTC)
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The graph an implicit surface depicted by lines
Examples of the idea of ​​the algorithm taken from the publication of Alexey Ivanov
http://www.mapleprimes.com/ques...Of-Surfaces#answer233804









Bublik.sm (35kb) downloaded 21 time(s). Cushion.sm (39kb) downloaded 17 time(s). DupinCyclide.sm (37kb) downloaded 18 time(s). Sur2.sm (39kb) downloaded 18 time(s). Surface4.sm (36kb) downloaded 17 time(s).

Edited by user 18 December 2016 00:22:36(UTC)  | Reason: Not specified

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Offline Ber7  
#4 Posted : 29 January 2017 22:56:41(UTC)
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Two surfaces are taken from the site
http://xrt.wikidot.com/gallery:implicit
The calculation algorithm:
1.Find the line of intersection of the given surface with the plane Z=0
2.Through each point hold the plane x1 = C and find the line of intersection of that plane with a given surface.These lines represent a given surface.



double torus x2.sm (74kb) downloaded 15 time(s). Bretzel (4 holes).sm (215kb) downloaded 12 time(s).

Edited by user 30 January 2017 09:27:33(UTC)  | Reason: Not specified

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Offline Jean Giraud  
#5 Posted : 30 January 2017 05:28:16(UTC)
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Thanks for these two animations. In each one, the last three plots
stay red, though the animated plot works fine. A small detail:
each work sheet has three definitions left over at page 17.

Jean
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Offline Ber7  
#6 Posted : 30 January 2017 09:51:39(UTC)
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Thank you Jean,
Worksheets corrected. In addition, in the algorithm for calculating along with x1 = C can be used x2 = C:


double torus x2.sm (74kb) downloaded 19 time(s).
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Offline Ber7  
#7 Posted : 31 January 2017 23:50:55(UTC)
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The tube in the form of a line of intersection of the cylinder and the torus (See post 7)
http://en.smath.info/for...-spatial-mechanisms.aspx

Time calculation, 9 min.
Villarceau 9.sm (40kb) downloaded 16 time(s).
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Offline Ber7  
#8 Posted : 01 March 2017 10:25:37(UTC)
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Helical Tube



NonCirc.sm (54kb) downloaded 12 time(s).
TubeCir.sm (54kb) downloaded 11 time(s).

Edited by user 01 March 2017 17:00:55(UTC)  | Reason: Not specified

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Offline Ber7  
#9 Posted : 01 March 2017 10:44:07(UTC)
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The surface of the Wikipedia
https://en.wikipedia.org/wiki/File:Tri-brezel.svg

WiciSurf.sm (107kb) downloaded 13 time(s).
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Offline Ber7  
#10 Posted : 14 June 2017 19:27:49(UTC)
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Non-circular cylindrical vessels with quasi-ellipsoidal ends
Krivoshapko S.N. Ivanov V.N,Encyclopedia of Analytical Surfaces ,Springer,2015




Non-circular cylindrical vessels.pdf (1,297kb) downloaded 7 time(s).
Non-circular cylindrical vessels.sm (210kb) downloaded 6 time(s).
Shell1.sm (256kb) downloaded 6 time(s).
Shell2.sm (34kb) downloaded 5 time(s).
Shell3.sm (35kb) downloaded 5 time(s).

Edited by user 14 June 2017 19:39:56(UTC)  | Reason: Not specified

Offline Jean Giraud  
#11 Posted : 15 June 2017 15:43:57(UTC)
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Thanks Ber7 for the work sheets [Not finished downloading].
If you visit this document, I'm wondering:
"How to add red points in this plot".

Thanks in advance ... Jean

Maths sph2xyz.sm (14kb) downloaded 7 time(s).
Offline Ber7  
#12 Posted : 15 June 2017 18:23:51(UTC)
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Hello Jean,
Unfortunately, the 3d chart does not allow you to draw points.
Exit (hopefully temporary) -make a 3d chart on a 2d chart.
Maths sph2xyz2d.sm (22kb) downloaded 8 time(s).

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