Bathsheba

I'm a sculptor, mostly in metal, thinking about science, math and biomorphic fantasies. I show here and at http://bathsheba.com. Welcome!

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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 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
This is part 1 of a snap-fit puzzle machine.  When you turn the knob, it generates fun!
Here's all the parts:
674x501_487863_386520_1338416936.jpg + 674x501_487863_386520_1338416936.jpg + 118x87_487871_386525_1338416936.jpg + 118x87_487871_386525_1338416936.jpg + 118x87_487873_386527_1338416936.jpg + 118x87_487875_386529_1338416936.jpg
addsetbutton.png

There's a bigger and fancier version here.
 
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From: $4.42
 
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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From: $40.59
 
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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From: $12.21
 
by Bathsheba
An alternative seashell.A larger version is here: http://www.shapeways.com/model/85313/whelk.html?gid=ug4660
 
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From: $31.10
 
by Bathsheba
The BBC feature The Code, which aired in the summer and fall of 2011, culminated in a treasure hunt. This is the treasure. The original was made in bronze-finish steel and silver; this recoloured model shows the structure. It is a rendering of the five Platonic solids, nested.
An uncoloured version is here.
 
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From: $31.13
 
by Bathsheba
This isn't one of the 4D "Platonic" solids, just a polytope that a friend of mine likes. It has icosahedral and tetrahedral cells.
 
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From: $11.52
 
by Bathsheba
This is part 2 of a snap-fit puzzle machine.  When you turn the knob, it generates fun!

Here's all the parts:
674x501_487863_386520_1338416936.jpg + 674x501_487863_386520_1338416936.jpg + 118x87_487871_386525_1338416936.jpg + 118x87_487871_386525_1338416936.jpg + 118x87_487873_386527_1338416936.jpg + 118x87_487875_386529_1338416936.jpg
addsetbutton.png

There's a bigger and fancier version here.
 
(2)  
  •  
From: $7.04
 
by Bathsheba
This is part 2 of a snap-fit puzzle machine.  When you turn the knob, it generates fun!  This is the deluxe model, there's a smaller version here.

Here's all the parts:
+ + + + + + + +

 
(1)  
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From: $22.65
 
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

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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From: $27.63
 
by Bathsheba
This is sized for silver. It's also available a little larger in steel, because the lower resolution of steel printing won't print at this size.
 
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From: $4.14