All Products
Shops
Designers
Manufacturing
Industries
Materials
About
Marketplace
Get a Quote
SIGN IN
Help Center
Manufacturing
Additive Manufacturing
3D Printing
Rapid Prototyping
Design Services
Traditional Manufacturing
Injection Molding
Urethane Casting
CNC Machining
Vacuum Casting
Sheet Metal
Machine Tooling
Industries
Medical
Consumer
Robotics
Architecture
Aerospace
Gaming
Drones
Education
Jewelry
Materials
Selective Laser Sintering (SLS)
Nylon 12 [Versatile Plastic]
Nylon 11 [PA11 (SLS)]
Polypropylene [PP]
Thermoplastic Elastomer [TPE]
Thermoplastic Polyurethane [TPU]
Binder Jetting
Stainless Steel 17-4 PH
Stainless Steel 316L
Steel [60% Steel / 40% Bronze]
Sandstone
Multi Jet Fusion (MJF)
Full Color Nylon 12
Nylon 12 [MJF Plastic PA12]
Nylon 12 Glass Beads [MJF Plastic PA12GB]
Polypropylene [PP]
Thermoplastic Polyurethane [TPU]
Stereolithography (SLA)
Accura 60 [Clear]
Accura Xtreme [Gray]
Accura Xtreme White 200
Wax Casting
Copper
Platinum
Gold
Silver
Bronze
Brass
Rhodium Plated Brass
Gold Plated Brass
Selective Laser Melting (SLM)
Aluminum
Material Jetting
Fine Detail Plastic
High Definition Full Color
Not sure what material to choose?
View 3D Materials Guide
About Us
About
Investors
Who We Are
Press
Careers
Contact Us
Resources
Blog
Events & Webinars
Case Studies
Testimonials
API
e-Commerce Integrations
Newsletter Signup
Cart
0
You haven't added any 3D printed products yet.
Search our Marketplace
All Products
Shops
Designers
Manufacturing
Additive Manufacturing
3D Printing
Rapid Prototyping
Design Services
Traditional Manufacturing
Injection Molding
Urethane Casting
CNC Machining
Vacuum Casting
Sheet Metal
Machine Tooling
Industries
Medical
Consumer
Robotics
Architecture
Aerospace
Gaming
Drones
Education
Jewelry
Materials
Selective Laser Sintering (SLS)
Nylon 12 [Versatile Plastic]
Nylon 11 [PA11 (SLS)]
Polypropylene [PP]
Thermoplastic Elastomer [TPE]
Thermoplastic Polyurethane [TPU]
Binder Jetting
Stainless Steel 17-4 PH
Stainless Steel 316L
Steel [60% Steel / 40% Bronze]
Sandstone
Multi Jet Fusion (MJF)
Full Color Nylon 12
Nylon 12 [MJF Plastic PA12]
Nylon 12 Glass Beads [MJF Plastic PA12GB]
Polypropylene [PP]
Thermoplastic Polyurethane [TPU]
Stereolithography (SLA)
Accura 60 [Clear]
Accura Xtreme [Gray]
Accura Xtreme White 200
Selective Laser Melting (SLM)
Aluminum
Material Jetting
Fine Detail Plastic
High Definition Full Color
Wax Casting
Copper
Platinum
Gold
Silver
Bronze
Brass
Rhodium Plated Brass
Gold Plated Brass
Not sure what material to choose?
View 3D Materials Guide
ABOUT
About
Investors
Who We Are
Press
Careers
Contact Us
Resources
Blog
Events & Webinars
Case Studies
Testimonials
API
e-Commerce Integrations
Newsletter Signup
Marketplace
Get a Quote
Sign In
0
You haven't added any 3D printed products yet.
Marketplace
Art
Sculptures
Click and drag to rotate
DIGITAL PREVIEW
Not a Photo
Natural Sandstone
DIGITAL PREVIEW
Not a Photo
DIGITAL PREVIEW
Not a Photo
DIGITAL PREVIEW
Not a Photo
DIGITAL PREVIEW
Not a Photo
DIGITAL PREVIEW
Not a Photo
DIGITAL PREVIEW
Not a Photo
Trapped Outside (track & ball)
Made by
Glyphobet
Print With Shapeways
Choose Your Material
$
16.20
+more
Versatile Plastic
Starting at
$ 9.52
Sandstone
Starting at
$ 16.20
Fine Detail Plastic
Starting at
$ 25.14
Choose your color and finish
Choose a Material
White Natural Versatile Plastic - $9.52
White Processed Versatile Plastic - $12.40
Black Natural Versatile Plastic - $15.28
Pink Processed Versatile Plastic - $17.66
Red Processed Versatile Plastic - $17.66
Blue Processed Versatile Plastic - $17.66
Purple Processed Versatile Plastic - $17.66
Natural Sandstone - $16.20
Tan Fine Detail Plastic - $25.14
Clear Ultra Fine Detail Plastic - $31.17
QTY
1
2
3
4
5
6
7
8
9+
Add To Cart
Have a question about this product?
contact the designer
You must be logged in and verified to contact the designer.
Product Description
This is a model of Boy's Surface, a one-sided surface with no edges and no pinch points.
In the cutaway images you can see a small ball. It can roll in three directions but is trapped in the space cut out by the single-sided surface.
The ball is visible through a single cut that winds around the surface.
Note: The ball is red for clarity in the screenshots only. The entire model will be the same color when printed.
Other versions:
Without the ball: https://www.shapeways.com/model/237518/trapped_outside__track_.html
Solid, hollow inside: https://www.shapeways.com/model/233704/trapped_outside__solid_with_hole_.html
Solid: https://www.shapeways.com/model/233703/trapped_outside__solid_.html
Remember to give this model five stars if you like it!
© 2009, Matt Chisholm. All rights reserved.
Tags
3d printer
bottle
Boy's Surface
cross cap
cross-cap
geometry
ICFF11
Klein
Klein Bottle
math
mathematics
Möbius
Möbius band
Möbius strip
Moebius
Moebius band
Moebius strip
non-orientable
nonorientable
one-sided
plane
projective
projective plane
surface
topology
Details
What's in the box:
Trapped Outside (track & ball)
Dimensions:
3.7 x 3.7 x 3.7 cm
Switch to inches
1.46 x 1.46 x 1.46 inches
Switch to cm
Success Rate:
First To try.
What's this?
Rating:
Mature audiences only.
4
3
Share
Share To
List
Glyphobet
By
Matt Chisholm
View Shop
Send Message
Follow
More From This Shop
Hive Piece Template
$
10.47
The Triangles of Pythagoras Puzzle
$
32.11
Spade, Club, Heart and Diamond
$
18.56
Trapped Outside (track only)
$
9.46