Bathsheba Sculpture LLC

Designs by Bathsheba

We found 78 products by Bathsheba

by Bathsheba
Half a sculpture. The two parts are connected by ten 3/16" spheres which you'll need to source. Ball bearings will work fine; I'd recommend gluing them to just one half so you can see the design both together, and with its interesting cross-section exposed.
If you'd like to see this in metal, I'd recommend here.
Here's a button to get both halves:
+

Lastly, here's the unsplit version.
 
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From: $15.52
 
by Bathsheba
The other half of a sculpture. The two parts are connected by ten 3/16" spheres which you'll need to source. Ball bearings will work fine; I'd recommend gluing them to just one half so you can see the design both together, and with its interesting cross-section exposed.
If you'd like to see this in metal, I'd recommend here.
Here's a button to get both halves:
+

Lastly, here's the unsplit version.
 
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From: $20.33
 
by Bathsheba
One model, three viewpoints: e, i, pi.
Draw your own conclusions.
 
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by Bathsheba
A theorem walks into a bar...
The Klein Bottle is a mathematical joke: a surface with only one side. This one feels just right in your hand and opens bottles with ease and style. Built to last in steel, it's the perfect touch for any math fan's kitchen.

Yes, it really works!

Klein not-a-bottle-opener is here.

 
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From: $77.00
 
by Bathsheba
Where I was going with this. I am really happy with this sculpture.

If you would like this in metal, you may find it worthwhile to check here.

 
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by Bathsheba
The best triply periodic minimal surface ever!

I put a bigger one here.

 
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by Bathsheba
A pointy sculpture! This is satisfying, but also it's a waypoint as I was going here

If you would like this in metal, you may find it worthwhile to check here.

 
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by Bathsheba
A symmetrical object.  There's a smaller one here.

This wasn't a simple rescale; I rebuilt the entire object to fit the tolerances of metal printing at the smaller size.

Smaller model, 5cm This model, 9cm
 
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by Bathsheba
A four-dimensional cube at pendant size.  Is it adorable?  Why yes, it is. Some feel it is a little large to wear as jewelry, so I've uploaded a smaller one here.

More polytopes are here.
 
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by Bathsheba
This was one of my first designs, from before I went to art school.
It's good to see it online.
 
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by Bathsheba
A pendant for metal printing.  I have trouble believing that these are photos and not renders...something about this object feels very unlikely.
 
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by Bathsheba
A pendant for metal printing.  I think this may be the most adorable thing ever.
 
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by Bathsheba

Seen enough balancing birds? It's time for a little SQUID PRO QUO.

If you print the Balancing Squid in steel, it becomes the Balancing Squid Bottle Opener. This item balances. It opens beers. And it is a squid.

Is there more to life?!

A stand for it is here.

 
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by Bathsheba
The answer to the burning question, what would the sculpture Ora be like if it were a hypercube instead of a cube? A bigger one is here.
 
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by Bathsheba
The design I'm trying to make is exactly twice as complex as this one. This stage of it seemed like a good place to pause for a breather.
 
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by Bathsheba
A Klein bottle.
Warning: this Klein bottle does not open beers, it just looks cute. 
The Klein Bottle Opener is here on Shapeways or here on Bathsheba.com.
A bigger bottle is here.
 
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by Bathsheba
To use this oil lamp, you'll need:
A wick - I used cotton string about 1/8" thick.
A wick holder - I used a 6-32 stainless T-nut that I got at an Ace Hardware for $.74. Anything will work that is clean metal, about 1/8" diameter inside and 3/16" diameter outside, with a flange.
Fuel - I used olive oil, any vegetable oil will do.
I made an Instructable with more details.
 
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by Bathsheba
Another projection of the 4-dimensional hypercube, this one close to vertex-centered. I love the shape of its hull: almost a rhombic dodecahedron, but skewed just enough to keep the central vertices from meeting.
The more usual projection is here, other polytopes are here.
 
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Ora
by Bathsheba
A sculpture. Contrary to popular belief, it is not an algorithmic object.
 
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by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the fifth, the hyperdodecahedron, a remarkably beautiful object brought to my attention by George Hart.

Here it's shown in a Schlegel diagram so you can see all 120 dodecahedral cells, though most are transformed by perspective: in this projection, the only regular dodecahedra are the biggest one on the outside and the tiniest one at the center.

A smaller model is here.
 
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From: $59.12
 
by Bathsheba
Found on an alien beach. Left by what creature?

A bigger model is here.
 
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From: $13.40
 
by Bathsheba
Found on an alien beach. Left by what creature?

A smaller model is here.
 
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From: $56.97
 
by Bathsheba
I've seen enough to know where this is going...oh, just kidding.  It's a rhombic dodecahedron.  With an exotic symmetry group.  That's all.  Really.
 
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by Bathsheba
I designed this with the plan of placing a 3/8" ball bearing in its center.  This should be easy in a flexible material; it wasn't so easy in steel.  But now that I see it, I'm not sure the center isn't better left open...your call to make.
 
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by Bathsheba
An alternative seashell.A larger version is here: http://www.shapeways.com/model/85313/whelk.html?gid=ug4660
 
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by Bathsheba
An alternative seashell.I'm very fond of my own instance of this design, and that doesn't happen often.A smaller version is here: http://www.shapeways.com/model/215947/whelk__10_5_cm_.html
 
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by Bathsheba
Another biomorphic sculpture.

This is about 10cm, or 3 3/4", end to end. There's also a larger version.

 
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by Bathsheba

Two letters fused into a 3D block. What an eyecatching way to showcase two initials! Yours will be ¾-1" (2-2.5cm) tall depending on the letters. Choose from Comic, Typewriter, Block or Script font, shown in the picture above.

A larger size is here.

Do you need a hanging loop? If neither letter has a closed loop (like O, P, B etc.) and you want to use this as a pendant, you will need that. Let me know in the instructions box please? Thanks....

Do three letters work? Sometimes, find out more here.

 
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by Bathsheba
It's a zero, and it's a one! This steel pendant IS geek chic.
 
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by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the sixth, the hypericosahedron, with 600 tetrahedral cells.

This was the hardest of this group to make a printable model of. For a Schlegel diagram one would need quite a large size to allow the amount of interior complexity required, and it gets difficult to build as well as expensive, so I used this face-first projection suggested by Henry Cohn. Some of the tetrahedral are collapsed and become planar, but on the plus side the complexity is on the outside where you can see it!
 
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From: $61.23
 
by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the fifth, the hyperdodecahedron, a remarkably beautiful object brought to my attention by George Hart.

Here it's shown in a Schlegel diagram so you can see all 120 dodecahedral cells, though most are transformed by perspective: in this projection, the only regular dodecahedra are the biggest one on the outside and the tiniest one at the center.

A bigger model is here.
 
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From: $16.62
 
by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This one is the odd polytope out, the one without a 3D counterpart.

It has 24 octahedral cells, all shown in this Schlegel diagram. Like the pentachoron it's self-dual -- the only self-dual solid in any dimension > 2 that is not a simplex. And if that wasn't enough, it's also the only regular convex polytope in any dimension > 2 that tiles its space and is not a hypercube.
 
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From: $16.70
 
by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the second, analogous to the octahedron, called the cross polytope.

This is close to a vertex-first projection, but rotated a little so the central vertices don't quite overlap and you can see all 16 tetrahedral cells. The cross polytope is dual to the hypercube, so its 16 cells correspond to the 4-cube's 16 corners.

A different projection is here.
 
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From: $19.74
 
by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the second, analogous to the octahedron, called the cross polytope.

The cross polytope is dual to the hypercube, so its 16 cells correspond to the 4-cube's 16 corners. This projection is a straightforward Schlegel diagram. A different projection is here.
 
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From: $17.18
 
by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the third, the hypercube or tesseract, in the classic projection into 3-space, showing its 8 cubic faces in a nice straightforward visualization.
A different projection is here.
 
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From: $21.74
 
by Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the five Platonic solids in 3D. This is the first, the pentachoron or hyperpyramid, in a vertex-first projection. It has 5 tetrahedral cells, and like the tetrahedron is its own dual.

In every dimension there's one polytope like this: all triangles, self-dual, analogous to the tetrahedron. As a group they're called simplexes, so this is the 4-simplex.
 
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Shop Details
I'm a designer for 3D printing, here are some sculptures and math models. In sizes from jewelry to handheld sculpture, they're a mix of geometry, computation and hand drawing. Some are exclusive to Shapeways, others are also on my main site at http://bathsheba.com. Thanks for visiting! These are my happy places, I hope you like them too.

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