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A torus twist. A better method?
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I wanted to trace a twist around a torus going from the top of the torus (imagining the top as a clock) from one position to five positions over, example: 12 o'clock to 5 o'clock; 5 o'clock to 10 o'clock, 10 o'clock to 3 o'clock, etc. I plotted something manually, see the link below. Is there a more straight forward approach to this problem? Can someone do it with the 3d calculator for a more accurate representation? Can anyone help?https://www.geogebra.org/ca...
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Hi,
do you want something like that ?
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Hi,
is this the right way?
I just joined points but I don't understand 30º, 30º, 30º, 30º, 90º(image2).
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counter clockwise for pentagoneTorusOclock(2).ggb :
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Ok.
Is it better (for a first time) ?
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yes this is the way!
another idea
select tool1 in menu and click in last polygon
I think I follow. I'm just beginning to see something. If you join dodecahedrons the pentagon side naturally turns.
1. can you have two dodecahedron/ torus rings twisting around each other but joining into each other as well?
Hi Patrick,
Friend! Please don't hate me. Here's a link with a small section on the scales so you know I'm actually going to do something with what you are helping me with and give you credit! https://www.jazzarium.pl/pr...
Okay! I think I've figured out a solution. Connecting dodecahedrons solves the rotation complications.
Can you do two twisting toroidal polyhedra (each one a link of 60 dodecahedrons) wrapped around each other?
Each position (e), would be adding another dodecahedron pair (one from each toroidal polyehedra) for a total of 60 positions? (can you also make it go counterclockwise too? Thank you :)
Hi,
an other way to do ''last request'' :
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But I think it's not possible to finish with a ''klein bottle'' with this idea.
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I was wrong about that need for a klein bottle.
Wow that is great Patrick!
Hi benstapptuba,
One ''twisting toroidal polyhedra (each one a link of 60 dodecahedrons)'' : dodecaTor(1).ggb
''two twisting toroidal polyhedra (each one a link of 60 dodecahedrons) wrapped around each other '' : dodecaTor(2).ggb
''Connecting dodecahedrons solves the rotation complications '' (?) : dodecaTor(3).ggb
I think connecting dodecahedrons is more complicated than using the surface command.(GeoGebra has more difficulty calculating).
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I think the dodecaTor(3) is the one! but can you make a variable so it plots the pairs of dodecahedrons out from 0  60?
my main concern is the latency on graphing several dodecahedron. I like how you represented it in the first two examples. I'm thinking that the second version is the best in terms of latency and representing the dodecahedron.
Hello Patrick!
I think this might make the most sense for the model. I do not know what shape it can be. Maybe two mobius strips? I drew the model so that all 120 coordinates are clear and I drew where they should connect again. Do you have any ideas for how this would look on a 3d graph. Thank you for all of your help with this! The book is 2/3rds of the way done.
Hello Patrick,
Thank you for all of your help with this again, last year! Finally I finished the research phase so I could apply it to my music. It was a painful process but you made it much easier with your skills. I hope you enjoy the music, although you might find it too strange. I gave your credit for the album art. Is that okay?
https://benstapp.bandcamp.c...
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