Three cylinders, in progress
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Date :
| 24/11/2002 23:11:58
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Plaited truncated icosahedron
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Date :
| 09/12/2002 03:52:06
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Plaited truncated icosahedron
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Description :
| This view shows how I miscalculated and made the strips too short
| Date :
| 09/12/2002 03:52:23
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Plaited truncated icosahedron
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Description :
| ...with the strips pushed together showing the hole
| Date :
| 09/12/2002 03:53:13
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Plaited strips over 32 randomly chosen faces
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Description :
| I'm unhappy with the fact that some of the edges are too short
for the paper to hold together after repeated flexings. This
view shows one such place on the left.
Credit to
H. B. Meyer for the plaiting idea which got me started. I'll probably get
the matlab code behind this model up on the web, once I've come
up with something I like better.
| Date :
| 02/02/2003 23:18:18
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Plaited strips over 32 randomly chosen faces
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Description :
| The extra wiggle room at the corners was probably too much; also, it might have worked better with thinner paper.
| Date :
| 02/02/2003 23:18:34
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Plaited strips over a triangulation
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Description :
| The generating data for this was the same as that of the previous model, but a Delaunay triangulation used to find the faces. Two complete strips are colored (before cutting the paper) with an acrylic ink, while the white strips form two disjoint loops.
| Date :
| 05/02/2003 23:01:57
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Plaited strips over a triangulation
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Description :
| This view shows the messier back side; it was difficult to tuck all the ends in, because the thickness of the paper was not taken into account.
| Date :
| 05/02/2003 23:02:46
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Larger plaited thing (in progress)
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Description :
| I wanted to document the way these go from looking like a complete mess to being fully assembled.
| Date :
| 13/02/2003 15:24:35
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Larger plaited thing
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Description :
| Here's the finished model. Cutting slightly at the corners did indeed leave enough slack that it's uniformly fairly tidy.
| Date :
| 13/02/2003 16:12:59
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1466
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Description :
| This was hard to fit together since I didn't really leave enough information on the printed copy. There's a dot of the appropriate color each time a strip passes under another.
| Date :
| 27/02/2003 02:52:59
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1471
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Description :
| It turns out that it's a mirror image of the other model made from the same data, although it's hard to see which parts to match up.
| Date :
| 27/02/2003 02:56:51
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1472
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Date :
| 27/02/2003 02:57:07
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Open plaiting with shading
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Description :
| The grey/black shades uniformly from one end to the other.
| Date :
| 12/03/2003 01:10:40
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Open plaiting with shading
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Description :
| This view shows the darker side.
| Date :
| 12/03/2003 01:10:59
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Sphere with Turnip-Top
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Description :
| Still life with sphere series.
| Date :
| 12/03/2003 01:13:31
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Sphere with Eyedropper
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Description :
| Still life with sphere series.
| Date :
| 12/03/2003 01:14:32
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Sphere with Corkscrew
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Description :
| Still life with sphere series.
| Date :
| 12/03/2003 01:18:46
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Sphere with Mini-Marshmallows
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Description :
| Still life with sphere series.
| Date :
| 12/03/2003 01:21:32
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Smaller, with color shading
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Description :
| This has the same geometry as the previous one, but its single strip goes is shaded with a simple color ramp.
| Date :
| 20/03/2003 02:30:04
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1864
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Description :
| Here the information about which strip should cross where is
copied from a model with the same main colors and geometry,
but which has crossing points color-coded. There's still
dots to distinguish which edge goes over or under, but they're
more subtle.
Again, there's only one strip.
The photo is cropped and the colors brightened slightly in gimp.
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2051
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Description :
| I found this at my mother's house in Toronto; I would have made it around 1995 or 1996.>p | Date :
| 26/05/2003 12:05:43
| Event :
| May 2003 trip to Toronto
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2054
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Description :
| I found this at my mother's house in Toronto; I would have made it around 1995 or 1996.>p | Date :
| 26/05/2003 12:06:33
| Event :
| May 2003 trip to Toronto
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2057
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Description :
| I found this at my mother's house in Toronto; I would have made it around 1995 or 1996.>p | Date :
| 26/05/2003 12:08:14
| Event :
| May 2003 trip to Toronto
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Unfolded
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Description :
| I wrote matlab code to draw the net that you'd get if you unfolded a given triangulation. In this example, it's generated at random with voronoin and convhull, and the grey lines indicate non-folds.
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m016
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Description :
| Sketch showing how the strips should look for plaited polyhedra of various thicknesses.
It's nice to work with something that flattens conveniently; no need for 3-d to show
all the relevant features.
I've been considering how to allow enough slack not to need to crease at the edges,
so I have something which is more loosely held together, and more woven looking. This
seems like a job for postscript splines to smooth out the curves between, but I still
need to come up with where to put the guide points.
If I use this method, I can make the public side the printed side; then there's
the question of how to indicate what goes where in a way that's hidden or pretty
(which is why I needed to put in two strips and show how they cross). These points
all correspond to the edges of the underlying polyhedron, of which there are more
than either vertices or faces, and which makes it a bit incovenient to number them
individually.
| Date :
| 2003:02:10
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