Vertigo Polka

Designs by vertigopolka

Thanks to all who have helped! Profits from my shop allowed me to donate $1,000 to the American Diabetes Association in honor of my daughter, Alexa.

I hope you continue to explore and enjoy the 3D printed mathematical models and jewelry my shop offers.

vertigopolka is selling 99 products in Math Art section

by vertigopolka
Here's a 100mm high cup designed with a curved woven side wall.
I just received my print, and it's more flexible than I imagined.
Check out the attached video that shows its flexibility!
 
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From: $57.00
 
by vertigopolka
Here's a 100mm high cup designed with a woven side wall.
Check out the attached video that shows its flexibility!
 
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From: $40.00
 
by vertigopolka
This implicit surface was generated and a shell was added to the isosurface in MeshLab.

Please check out all of the other implicit surfaces in my shop. implicit surfaces at vertigo polka
 
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From: $37.00
 
by vertigopolka
This coral-inspired model (with 3-fold rotational symmetry) was generated with a single mathematical expression using the implicit surfaces filter in MeshLab.
Please check out all of the other implicit surfaces at vertigo polka.

Also available:
Fuddle Silver
Fuddle Steel/Bronze
Fuddle Color (sandstone)
Fuddle Plastic (hollow)
 
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From: $55.00
 
by vertigopolka
 
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From: $25.00
 
by vertigopolka
This model is made of two pairs of colored spiral bands that wrap diagonally in opposite directions around a torus shape (142mm / 5.6 inches).
Smaller version here: 4-Color Spiral Torus

See more of my color models: Vertigo's Colored Polyhedra
 
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From: $70.00
 
by vertigopolka
This model is made of a two green and red spiral bands that wrap diagonally in opposite directions around a torus shape (104mm / 4.1 inches). See more of my color models: Vertigo's Colored Polyhedra
Here's two additional Spiral Tori, in WSF: Spiral Torus Mesh 110mm and Spiral Torus 110mm
 
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From: $52.00
 
by vertigopolka
This looping knot snakes over, under and around itself through forty three-way intersections with perfect icosahedral symmetry.

Also available in a thinner version: Icosahedral Knot
See more knots and torus knots in my Knots section.
 
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From: $20.00
 
by vertigopolka
 
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From: $70.00
 
by vertigopolka
Here's a 5-inch wide mobius band which has been sliced from a torus.

Note: I've made this model available in the detail materials, but have not printed in these materials yet.
 
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From: $35.00
 
by vertigopolka
Here's a very festive truncated icosahedron that knows how to party, or maybe partied just a little too much.
 
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From: $21.00
 
by vertigopolka
This bauble is made of three nested truncated icosahedrons, or buckyballs.
Check out my other pendant models in my Jewelry/Pendant section.
 
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From: $70.00
 
by vertigopolka
Here is a silver bauble made from two nested icosahedrons, connected to each other at the center of each of their twenty triangular faces.
Check out my other pendant models in my Jewelry/Pendant section.
 
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From: $65.00
 
by vertigopolka
Here's a fun silver bauble that started life out as a simple cube. After a dual loop style remesh and some odd twists and turns, we have what I've termed the duality cube.

Check out my other pendant models in my Jewelry/Pendant section.
 
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From: $85.00
 
by vertigopolka
This silver bauble started out as two octahedrons of different sizes. The faces have been separated and rotated so that the vertices of each of the smaller triangles touch a vertex of one of the larger triangles.

Check out my other pendant models in my Jewelry/Pendant section.
 
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From: $65.00
 
by vertigopolka
Here is a silver bauble made of two nested dodecahedrons, connected to each other at the center of each of their twelve pentagonal faces.

Check out my other pendant models in my Jewelry/Pendant section.
 
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From: $60.00
 
by vertigopolka
Here is a delicate bauble in the form of a snub truncated icosahedron that has been smoothed around the edges.
 
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From: $60.00
 
by vertigopolka
 
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From: $70.00
 
by vertigopolka
 
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From: $33.00
 
by vertigopolka
A soccerball (truncated icosahedron) that has been layered, fractalized and softened a bit. (size: 3 inches)

 
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From: $33.00
 
by vertigopolka
This model is made of a set of nested buckyballs (truncated icosahedrons); the faces of the exterior and interior shapes have opposite facing stellations so that they just barely touch each other.
 
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From: $45.00
 
by vertigopolka
This model is made of a two continuous bands that wrap diagonally around a torus shape 45 times before connecting to the original starting points. Here's two more Spiral Tori: Spiral Torus 110mm and a colored version Holiday Spiral Torus
 
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From: $34.00
 
by vertigopolka
Here's a mobius band with a triangle cross-section; follow the surface three times around and you are back where you started.

Ribbed for your pleasure!
 
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From: $26.00
 
by vertigopolka
Here's a 4.3-inch geodesic sphere with negative stellated facets.

It measures 4.3 inches (110mm).

 
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From: $55.00
 
by vertigopolka
 
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From: $30.00
 
by vertigopolka
This model is based on a snub truncated icosahedron; the hexagonal and pentagonal faces are deleted and the triangular faces have been extruded with a twisted stellation.
 
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From: $70.00
 
by vertigopolka
A truncated icosahedron which has the pentagonal faces stellated outwards and the hexagonal faces stellated inwards.

Also available in a 75mm version.



 
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From: $18.00
 
by vertigopolka
This part consists of all five Platonic Solids nested one inside another.

From largest to smallest, there is an icosahedron (20 triangular faces), a dodecahedron (12 pentagonal faces), a hexahedron (6 square faces), a tetrahedron (4 triangular faces) and an octahedron (8 triangular faces).

The overall shape is a Rhombic Triacontrahedron, a combination of an icosahedron and dodecahedron).
These can be nested infinitely following the same order.

 
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From: $40.00
 
by vertigopolka
Fancy, schmancy, starry-eyed truncated icosahedron.
 
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From: $32.00
 
by vertigopolka
This is a compound of an icosahedron and a dodecahedron, which takes the shape of a first stellation of an icosidodecahedron.
 
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From: $18.00
 
by vertigopolka
Twelve curved pentagons unite to form this dodecahedral star.
 
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From: $22.00
 
by vertigopolka
This gothic, rooted nightmare is another implicit surface generated with a single mathematical expression using MeshLab.

Please check out my other implicit surfaces: implicit surfaces at vertigo polka.
 
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From: $37.00
 
by vertigopolka
Twisty Two looks like a highly evolved taffy pull.
 
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From: $32.00
 
by vertigopolka
Here's another interesting twisted, starry design with both icosahedral and dodecahedral symmetry.
 
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From: $10.00
 
by vertigopolka
Here's another interesting twisted, starry design with both icosahedral and dodecahedral symmetry.
 
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From: $20.00
 
by vertigopolka
Here's another interesting twisted, starry design with both icosahedral and dodecahedral symmetry.
 
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From: $60.00