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Octagonal and hexagonal spirals

Posted Jun 6, 2023, 1:52 a.m. EDT Electromagnetics, Geometry 3 Replies

Deiaaldeen Khaleel
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greetings, I am wondering if there is a way to do hexagonal or octagonal spirals. i searched in COMSOL forum but there is no explicit answer for this. kindly help with this issue

3 Replies Last Post Jun 6, 2023, 1:22 p.m. EDT
Jeff Hiller COMSOL Employee

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Posted: 11 months ago Jun 6, 2023, 8:57 a.m. EDT
Updated: 11 months ago Jun 6, 2023, 9:10 a.m. EDT

Hello Deiaaldeen,

You can create such a spiral by drawing its (hexagonal or octagonal) cross section in a work plane and then sweeping that shape along a spiral curve you will have created using a parametric curve; same idea as in this thread.

By the way, for a quick way to draw regular polygons, see my post in this other thread.

Best,

Jeff

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Jeff Hiller
Hello Deiaaldeen, You can create such a spiral by drawing its (hexagonal or octagonal) cross section in a work plane and then sweeping that shape along a spiral curve you will have created using a parametric curve; same idea as in [this thread](https://www.comsol.com/forum/thread/76051/extrusion-along-a-predetermined-path?last=2015-05-18T15:46:19Z). By the way, for a quick way to draw regular polygons, see my post in [this other thread](https://www.comsol.com/forum/thread/157341/randomized-hexagon-using-model-methods?last=2017-10-17T21:27:02Z). Best, Jeff
Deiaaldeen Khaleel
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Posted: 11 months ago Jun 6, 2023, 11:24 a.m. EDT

Hello Deiaaldeen,

You can create such a spiral by drawing its (hexagonal or octagonal) cross section in a work plane and then sweeping that shape along a spiral curve you will have created using a parametric curve; same idea as in this thread.

By the way, for a quick way to draw regular polygons, see my post in this other thread.

Best,

Jeff

thank you for your response, actually i did not find the formulas for the hxagonal nor octagonal spirals. the equations and the paramerters for circular spiral well explained here https://www.comsol.com/blogs/how-to-build-a-parameterized-archimedean-spiral-geometry. but there is no the explaination for the above spirals

>Hello Deiaaldeen, > >You can create such a spiral by drawing its (hexagonal or octagonal) cross section in a work plane and then sweeping that shape along a spiral curve you will have created using a parametric curve; same idea as in [this thread](https://www.comsol.com/forum/thread/76051/extrusion-along-a-predetermined-path?last=2015-05-18T15:46:19Z). > >By the way, for a quick way to draw regular polygons, see my post in [this other thread](https://www.comsol.com/forum/thread/157341/randomized-hexagon-using-model-methods?last=2017-10-17T21:27:02Z). > >Best, > >Jeff thank you for your response, actually i did not find the formulas for the hxagonal nor octagonal spirals. the equations and the paramerters for circular spiral well explained here https://www.comsol.com/blogs/how-to-build-a-parameterized-archimedean-spiral-geometry. but there is no the explaination for the above spirals
Jeff Hiller COMSOL Employee

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Posted: 11 months ago Jun 6, 2023, 1:22 p.m. EDT

Hi again,

You will find the formulae in the file Hexagon.mph attached to my post in the thread I mentioned. In case you are unable to open that file, you can see them in the attached screenshot.

Best,

Jeff

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Jeff Hiller
Hi again, You will find the formulae in the file Hexagon.mph attached to my post in the thread I mentioned. In case you are unable to open that file, you can see them in the attached screenshot. Best, Jeff

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