Transferring three-dimensional image on a two-dimensional graph - Ber7 - Messages
#1 Posted: 12/8/2013 11:51:06 AM
This method was suggested by the author of the "Method of Draghilev" prof. Alexei Ivanov.
1.st through the matrix of three columns (x, y, z) to construct
3d graph and select the desired Rakurs;
2.Using linear coordinate transformations turn
all points of the matrix at an angle (angles) corresponding
Rakurs and obtain a new matrix;
3. Out of three columns of the new matrix choose two and
substitute them in 2d graph;
Animation shows two first surface constructed A.Ivashev second
V.Mezentsev (Bottom). The animation is done on a flat graph.
ButKlejn.smz
1.st through the matrix of three columns (x, y, z) to construct
3d graph and select the desired Rakurs;
2.Using linear coordinate transformations turn
all points of the matrix at an angle (angles) corresponding
Rakurs and obtain a new matrix;
3. Out of three columns of the new matrix choose two and
substitute them in 2d graph;
Animation shows two first surface constructed A.Ivashev second
V.Mezentsev (Bottom). The animation is done on a flat graph.
ButKlejn.smz
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Davide Carpi 12/8/2013 1:36:00 PM
#2 Posted: 12/28/2013 3:47:32 PM
Updated.Fixed mistake in the first matrix coordinate transformation
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Davide Carpi 1/31/2014 6:17:00 AM
#3 Posted: 1/16/2014 4:19:01 PM
Animation spatial mechanisms
To calculate the position of the mechanism will use
techniques developed A.B.Ivanov.His work on 3d
animation mechanisms made in Mapl, publishes A.B.Ivanov
online
http://forum.exponenta.ru/viewtopic.php?t=12842
Of the examples from this site I suffered in a programming environment SMath Studio
1. Sarrus linkage 1
To calculate the position of the mechanism will use
techniques developed A.B.Ivanov.His work on 3d
animation mechanisms made in Mapl, publishes A.B.Ivanov
online
http://forum.exponenta.ru/viewtopic.php?t=12842
Of the examples from this site I suffered in a programming environment SMath Studio
1. Sarrus linkage 1
#6 Posted: 2/2/2015 11:03:15 AM
1.Torsion and bending Plate
2.Torsion and bending cylindrical panel
Using nonlinear coordinate transformations
Plate.smz
2.Torsion and bending cylindrical panel
Using nonlinear coordinate transformations
Plate.smz
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Andrey Ivashov 2/26/2016 9:19:00 AM, Davide Carpi 2/2/2015 8:47:00 PM, IVR 2/5/2015 3:07:00 PM, ioan92 2/26/2016 7:12:00 AM
#7 Posted: 2/26/2016 6:57:04 AM
Rotation About an Arbitrary Axis in Space
The algorithm is taken from the book
. F. Rogers and J. A. Adams. Mathematical
Elements for Computer Graphics,second edition. McGraw-Hill Publishing Company,
1990,pages 121-127
Rotation2.smz
The algorithm is taken from the book
. F. Rogers and J. A. Adams. Mathematical Elements for Computer Graphics,second edition. McGraw-Hill Publishing Company,
1990,pages 121-127
Rotation2.smz
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Davide Carpi 2/26/2016 8:25:00 AM, Andrey Ivashov 2/26/2016 9:19:00 AM, ioan92 2/26/2016 10:57:00 AM
#8 Posted: 2/28/2016 6:17:42 PM
Rotation2.smz ,,,, does not work Smath 5346
egamma: not defined [does not evaluate]
ex, ey, ez don't evaluate ,,,
Smath 5346 does not recognise Rotatio2 coding.
Thanks for the other ones.
Jean
egamma: not defined [does not evaluate]
ex, ey, ez don't evaluate ,,,
Smath 5346 does not recognise Rotatio2 coding.
Thanks for the other ones.
Jean
#9 Posted: 2/28/2016 9:30:29 PM
For SMath 5890 file works fine. For SMath 5346 file can not verify.
#10 Posted: 11/15/2016 4:29:15 PM
Building the surface deflection a Circular Plate for periodically applied load (Smath 0.98.5935)
Timoshenko.sm
Timoshenko.sm
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Davide Carpi 11/15/2016 7:34:00 PM
#11 Posted: 11/16/2016 12:10:08 AM
Thanks: very nice. That's how you can tell the age of the lady !
#13 Posted: 4/19/2017 4:46:02 AM
Dome of Viviani Windows
The dome is made out of a variable number of Viviani curves generated by the intersection of the
hemisphere and the moving cylinder.A real-life application of this can be seen at the Osaka Maritime Museum
https://en.wikipedia.org/wiki/Osaka_Maritime_Museum
V4.sm
The dome is made out of a variable number of Viviani curves generated by the intersection of the
hemisphere and the moving cylinder.A real-life application of this can be seen at the Osaka Maritime Museum
https://en.wikipedia.org/wiki/Osaka_Maritime_Museum
V4.sm
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frapuano 4/19/2017 9:15:00 AM, NDTM Amarasekera 4/19/2017 12:14:00 PM, Davide Carpi 4/23/2017 7:33:00 PM
#14 Posted: 4/23/2017 6:24:49 AM
Gateshead Millennium Bridge
http://en.wikipedia.org/wiki/Gateshead_Millennium_Bridge
The arch and the bridge deck can be rotated together around large bearings, lifting the bridge deck to let small ships and boats pass underneath. This is the essential idea behind the Gateshead Millennium Bridge, a pedestrian and cyclist tilt bridge. It spans the River Tyne in England between Gateshead on the south bank and Newcastle upon Tyne on the north bank.
Most.sm
http://en.wikipedia.org/wiki/Gateshead_Millennium_Bridge
The arch and the bridge deck can be rotated together around large bearings, lifting the bridge deck to let small ships and boats pass underneath. This is the essential idea behind the Gateshead Millennium Bridge, a pedestrian and cyclist tilt bridge. It spans the River Tyne in England between Gateshead on the south bank and Newcastle upon Tyne on the north bank.
Most.sm
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Davide Carpi 4/23/2017 7:33:00 PM
#15 Posted: 4/26/2017 10:00:02 AM
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NDTM Amarasekera 4/26/2017 11:37:00 AM, Arie 4/26/2017 11:13:00 AM, Davide Carpi 4/26/2017 7:14:00 PM, frapuano 4/27/2017 1:28:00 AM
#16 Posted: 6/5/2017 8:04:06 AM
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NDTM Amarasekera 6/5/2017 10:51:00 PM, Davide Carpi 10/10/2017 11:52:00 AM, Arie 6/5/2017 3:54:00 PM
#17 Posted: 6/5/2017 2:09:00 PM
Thanks Ber7,
I love those things that move, but they dilute my "winter chicken brain" !!!
You may want to roll the torus. Very nice in Mathcad, unfortunately, can't
attach the animation because XP Pro. does not support any of the Mathcad "Codecs".
Cheers ... Jean
Torus.sm
I love those things that move, but they dilute my "winter chicken brain" !!!
You may want to roll the torus. Very nice in Mathcad, unfortunately, can't
attach the animation because XP Pro. does not support any of the Mathcad "Codecs".
Cheers ... Jean
Torus.sm
#18 Posted: 10/8/2017 4:39:32 PM
Rotation around an arbitrary axis defined by two points.Continuation
https://en.smath.info/forum/yaf_postsm30728_Transferring-three-dimensional-image-on-a-two-dimensional--flat--graph-by-prof--A-B-Ivanov.aspx#post30728
Rotation3.sm
https://en.smath.info/forum/yaf_postsm30728_Transferring-three-dimensional-image-on-a-two-dimensional--flat--graph-by-prof--A-B-Ivanov.aspx#post30728
Rotation3.sm
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Davide Carpi 10/10/2017 11:52:00 AM
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