Trefoil Knot

#1 Posted: 2/9/2023 7:11:59 PM

587 likes in 1,363 posts.

Group: Moderator

Parametric plot of curve and (2-3) trefoil knots.
What would be really cool would be a meshed torus.
However, I don't know any idea how to do that.

Regards

trefoil.sm (12.84 KiB) downloaded 1076 time(s).

1 users liked this post

sergio 2/10/2023 5:28:00 AM

#2 Posted: 2/9/2023 10:33:20 PM

Jean Giraud

983 likes in 6,866 posts.

Group: User

Wrote
What would be really cool would be a meshed torus.
However, I don't know any idea how to do that.

Torus in three options [meshed/points/quaternion]
Just be patient rolling Torus.
Cheers ... Jean.

0Anim Torus Ber7.sm (20.65 KiB) downloaded 1076 time(s).
0Anim Torus.sm (44.44 KiB) downloaded 1088 time(s).
Rotate Quaternion MODULO copy.sm (391.66 KiB) downloaded 1055 time(s).

Descartes Trifolium looks better as you wish.

#3 Posted: 2/10/2023 12:36:26 AM

overlord

587 likes in 1,363 posts.

Group: Moderator

Trefoil torus, not ordinary torus.

#4 Posted: 2/10/2023 3:03:35 AM

Alvaro

1,082 likes in 1,755 posts.

Group: User

Hi Overlord. You can try starting with something this:

Frenet Tube.sm (9.22 KiB) downloaded 1084 time(s).

Best regards.
Alvaro.

4 users liked this post

Mark R Harris 2/10/2023 4:24:00 AM, sergio 2/10/2023 5:28:00 AM, NDTM Amarasekera 2/10/2023 8:34:00 AM, overlord 2/10/2023 12:43:00 PM

SMath

Trefoil Knot

Trefoil Knot - 3D plot - Messages

SMath Forum

Trefoil Knot - 3D plot - Messages