It all started out when I stumbled across this YouTube channel:
https://www.youtube.com/@henryseg/videos
Henry Segerman has some amazing 3D printed curiosities, and I began to
ponder how to create some of them using OpenSCAD.
Among Henry's videos is this walk through of a geometry exhibit:
https://www.youtube.com/watch?v=1FUMJPjPSgQ
Near the end, we come to the "projection from 4 space into 3 space of a
rotating hypercube zoetrope". Fascinating. I tried, but could not
find, all of the 3D models that were required for this, so one thing I
am curious about is whether we could compute these using OpenSCAD.
Kevin Holmes has taken zoetropes to an entirely new level:
https://www.youtube.com/@n0f8r/videos
If you look over his videos thoroughly, the complexity and enormity of
his work is stunning. I asked him whether he had considered creating a
platter as a single huge 3D print. He prints everything in resin, hand
paints them, and then assembles the platter. I am more lazy: I want to
do the work up front and then make a single print on my Prusa XL. His
point is that the resolution available from a regular FDM printer would
not do justice to his work. Probably true.
So, in the end, my quest is to calculate the 3D representations of the
rotating hypercube and create a single print zoetrope platter compatible
with Kevin's display.
I hope that you find some of this to be interesting, if not inspiring.
Jon
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...Near the end, we come to the "projection from 4 space into 3 space of a
rotating hypercube zoetrope"...
Well, the 4th dimension is just the time axis. Your OpenSCAD model of
watever, needs the t$ variable which does the transformation for each
"picture" of your model, cordinated with the rotate that places them along
the rim.
Easy to say, a little harder to code ;-)
lør. 22. jun. 2024 18.51 skrev Jon Bondy via Discuss <
discuss@lists.openscad.org>:
It all started out when I stumbled across this YouTube channel:
https://www.youtube.com/@henryseg/videos
Henry Segerman has some amazing 3D printed curiosities, and I began to
ponder how to create some of them using OpenSCAD.
Among Henry's videos is this walk through of a geometry exhibit:
https://www.youtube.com/watch?v=1FUMJPjPSgQ
Near the end, we come to the "projection from 4 space into 3 space of a
rotating hypercube zoetrope". Fascinating. I tried, but could not
find, all of the 3D models that were required for this, so one thing I
am curious about is whether we could compute these using OpenSCAD.
Kevin Holmes has taken zoetropes to an entirely new level:
https://www.youtube.com/@n0f8r/videos
If you look over his videos thoroughly, the complexity and enormity of
his work is stunning. I asked him whether he had considered creating a
platter as a single huge 3D print. He prints everything in resin, hand
paints them, and then assembles the platter. I am more lazy: I want to
do the work up front and then make a single print on my Prusa XL. His
point is that the resolution available from a regular FDM printer would
not do justice to his work. Probably true.
So, in the end, my quest is to calculate the 3D representations of the
rotating hypercube and create a single print zoetrope platter compatible
with Kevin's display.
I hope that you find some of this to be interesting, if not inspiring.
Jon
--
This email has been checked for viruses by AVG antivirus software.
www.avg.com
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Uh, no, the 4th dimension is not time in this example. It seems like if
you can define what you want to do exactly here it should be a very simple
thing. A hypercube is an object in four spatial dimensions formed from
eight cubes. It's very easy to construct the coordinates of a basic
hypercube. So you can construct the points and faces. You can then build
the 4d rotation matrix to rotate it some way you like. This would be
parameterized over a rotation angle, which would correspond to the time
dimension. You apply the 4d rotation matrix to vertices and follow with a
projection to 3d (presumably just discarding the 4th point).
The main question mark is what, exactly, are the faces you are trying to
construct? A 3d projection of a hypercube is going to mostly intersect
itself and won't be a very interesting object. It seems like maybe you
actually want a wireframe? Probably easier to make a wireframe by
projecting edges from 4d to 3d and then building the shape around that.
On Sat, Jun 22, 2024 at 12:59 PM Michael Möller via Discuss <
discuss@lists.openscad.org> wrote:
...Near the end, we come to the "projection from 4 space into 3 space of a
rotating hypercube zoetrope"...
Well, the 4th dimension is just the time axis. Your OpenSCAD model of
watever, needs the t$ variable which does the transformation for each
"picture" of your model, cordinated with the rotate that places them along
the rim.
Easy to say, a little harder to code ;-)
lør. 22. jun. 2024 18.51 skrev Jon Bondy via Discuss <
discuss@lists.openscad.org>:
It all started out when I stumbled across this YouTube channel:
https://www.youtube.com/@henryseg/videos
Henry Segerman has some amazing 3D printed curiosities, and I began to
ponder how to create some of them using OpenSCAD.
Among Henry's videos is this walk through of a geometry exhibit:
https://www.youtube.com/watch?v=1FUMJPjPSgQ
Near the end, we come to the "projection from 4 space into 3 space of a
rotating hypercube zoetrope". Fascinating. I tried, but could not
find, all of the 3D models that were required for this, so one thing I
am curious about is whether we could compute these using OpenSCAD.
Kevin Holmes has taken zoetropes to an entirely new level:
https://www.youtube.com/@n0f8r/videos
If you look over his videos thoroughly, the complexity and enormity of
his work is stunning. I asked him whether he had considered creating a
platter as a single huge 3D print. He prints everything in resin, hand
paints them, and then assembles the platter. I am more lazy: I want to
do the work up front and then make a single print on my Prusa XL. His
point is that the resolution available from a regular FDM printer would
not do justice to his work. Probably true.
So, in the end, my quest is to calculate the 3D representations of the
rotating hypercube and create a single print zoetrope platter compatible
with Kevin's display.
I hope that you find some of this to be interesting, if not inspiring.
Jon
--
This email has been checked for viruses by AVG antivirus software.
www.avg.com
OpenSCAD mailing list
To unsubscribe send an email to discuss-leave@lists.openscad.org
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To unsubscribe send an email to discuss-leave@lists.openscad.org
Jon,
Here is some zoetrope work done using 3D resin printing by a professor
and personal friend at Stanford. Although it's based on the golden ratio
rather than hypercubes, it may also provide some inspiration if you've
not seen it already.
https://www.youtube.com/watch?v=B5p2A5mazEs
Regards,
Curt
On 6/22/2024 9:50 AM, Jon Bondy via Discuss wrote:
It all started out when I stumbled across this YouTube channel:
https://www.youtube.com/@henryseg/videos
Henry Segerman has some amazing 3D printed curiosities, and I began to
ponder how to create some of them using OpenSCAD.
Among Henry's videos is this walk through of a geometry exhibit:
https://www.youtube.com/watch?v=1FUMJPjPSgQ
Near the end, we come to the "projection from 4 space into 3 space of
a rotating hypercube zoetrope". Fascinating. I tried, but could not
find, all of the 3D models that were required for this, so one thing I
am curious about is whether we could compute these using OpenSCAD.
Kevin Holmes has taken zoetropes to an entirely new level:
https://www.youtube.com/@n0f8r/videos
If you look over his videos thoroughly, the complexity and enormity of
his work is stunning. I asked him whether he had considered creating
a platter as a single huge 3D print. He prints everything in resin,
hand paints them, and then assembles the platter. I am more lazy: I
want to do the work up front and then make a single print on my Prusa
XL. His point is that the resolution available from a regular FDM
printer would not do justice to his work. Probably true.
So, in the end, my quest is to calculate the 3D representations of the
rotating hypercube and create a single print zoetrope platter
compatible with Kevin's display.
I hope that you find some of this to be interesting, if not inspiring.
Jon
Excellent video! Thanks so much for telling us about it.
Jon
On 6/22/2024 9:16 PM, Curt McDowell wrote:
Jon,
Here is some zoetrope work done using 3D resin printing by a professor
and personal friend at Stanford. Although it's based on the golden ratio
rather than hypercubes, it may also provide some inspiration if you've
not seen it already.
https://www.youtube.com/watch?v=B5p2A5mazEs
Regards,
Curt
On 6/22/2024 9:50 AM, Jon Bondy via Discuss wrote:
It all started out when I stumbled across this YouTube channel:
https://www.youtube.com/@henryseg/videos
Henry Segerman has some amazing 3D printed curiosities, and I began to
ponder how to create some of them using OpenSCAD.
Among Henry's videos is this walk through of a geometry exhibit:
https://www.youtube.com/watch?v=1FUMJPjPSgQ
Near the end, we come to the "projection from 4 space into 3 space of
a rotating hypercube zoetrope". Fascinating. I tried, but could not
find, all of the 3D models that were required for this, so one thing I
am curious about is whether we could compute these using OpenSCAD.
Kevin Holmes has taken zoetropes to an entirely new level:
https://www.youtube.com/@n0f8r/videos
If you look over his videos thoroughly, the complexity and enormity of
his work is stunning. I asked him whether he had considered creating
a platter as a single huge 3D print. He prints everything in resin,
hand paints them, and then assembles the platter. I am more lazy: I
want to do the work up front and then make a single print on my Prusa
XL. His point is that the resolution available from a regular FDM
printer would not do justice to his work. Probably true.
So, in the end, my quest is to calculate the 3D representations of the
rotating hypercube and create a single print zoetrope platter
compatible with Kevin's display.
I hope that you find some of this to be interesting, if not inspiring.
Jon