Universal Joint Design
Designs by UniversalJoint
Models presented on Shapeways are recreations of a Classical Mathematical Model Collection originally made by hand in plaster in the 1800's. This portion of the collection was originally modelled by Carl Rodenberg under the direction of the famous mathematician Felix Klein.
Currently portions of the collection are on permanent display at The University of Hong Kong Department of Mathematics and were exhibited at the prestigious ACM SIGgraph Conference in 2008.
This project was begun in 1998. All images except where noted are of actual models. For more information see formpig.com. Kindly email us if you have specific requests/needs or would like to purchase the full set.
We found 29 products by UniversalJoint
by
UniversalJoint
Clebsch Diagonal Surface with Color [01].
The Clebsch Diagonal Surface is a non-singular (i.e. smooth) Cubic Surface originally discovered and documented by Alfred Clebsch (1833 - 1872). The Clebsch Diagonal is a historically important model and was of great interest to early machine designers and mathematicians.
This model is a recreation of the original plaster model made by hand in the 1800's under the direction of Felix Klein. This is a FULL SIZE 1:1 version.
It shows the 27 possible lines on a smooth cubic surface and is the "god-head" of the series of 23 types of singularities possible on a Cubic Surface (that are also shown on Shapeways).
All the lines are numbered with imprinted numbering of the complex configuration. In total there are 36 possible ways to number the lines.
This series of Clebsch models show various aspects of the complex configuration of geometric objects on this famous surface. Please see the model description to make sure which model contains which objects in the configuration. We'd also be happy to customize a model for you.
The Configuration: 27 total lines: 15 Diagonal Lines and 12 Horizontal Lines (Shafli's "Double Six") 30 points where 2 lines of ruling intersect 24 within the model and 6 at infinity 10 points where 3 lines of ruling intersect (Eckardt Points)
- 7 within the model and 3 at infinity The Sylvester Pentahedron Additionally there are three "passages" which can be seen in the animation below. Three are "holes" that can be easily seen. Three are within the model at the "ears" and the seventh is somewhat vertical at the "waist".
http://formpig.com/blog/?p=3253 http://formpig.com/blog/?p=3311 http://formpig.com/blog/?p=2893
For additional documentation or other models or sizes please contact the author. Note that this models is the same as the Clebsch Diagonal Surface with Imprinted Numbers - with the addition of the numbers being produced in /color/ via a colored rapid prototyping process.
The Clebsch Diagonal Surface is a non-singular (i.e. smooth) Cubic Surface originally discovered and documented by Alfred Clebsch (1833 - 1872). The Clebsch Diagonal is a historically important model and was of great interest to early machine designers and mathematicians.
This model is a recreation of the original plaster model made by hand in the 1800's under the direction of Felix Klein. This is a FULL SIZE 1:1 version.
It shows the 27 possible lines on a smooth cubic surface and is the "god-head" of the series of 23 types of singularities possible on a Cubic Surface (that are also shown on Shapeways).
All the lines are numbered with imprinted numbering of the complex configuration. In total there are 36 possible ways to number the lines.
This series of Clebsch models show various aspects of the complex configuration of geometric objects on this famous surface. Please see the model description to make sure which model contains which objects in the configuration. We'd also be happy to customize a model for you.
The Configuration: 27 total lines: 15 Diagonal Lines and 12 Horizontal Lines (Shafli's "Double Six") 30 points where 2 lines of ruling intersect 24 within the model and 6 at infinity 10 points where 3 lines of ruling intersect (Eckardt Points)
- 7 within the model and 3 at infinity The Sylvester Pentahedron Additionally there are three "passages" which can be seen in the animation below. Three are "holes" that can be easily seen. Three are within the model at the "ears" and the seventh is somewhat vertical at the "waist".
http://formpig.com/blog/?p=3253 http://formpig.com/blog/?p=3311 http://formpig.com/blog/?p=2893
For additional documentation or other models or sizes please contact the author. Note that this models is the same as the Clebsch Diagonal Surface with Imprinted Numbers - with the addition of the numbers being produced in /color/ via a colored rapid prototyping process.
by
UniversalJoint
Clebsch Diagonal Surface with Configuration: 31 Spheres and 1 Sylvester Pentahedron [01].
The Clebsch Diagonal Surface is a non-singular (i.e. smooth) Cubic Surface originally discovered and documented by Alfred Clebsch (1833 - 1872). The Clebsch Diagonal is a historically important model and was of great interest to early machine designers and mathematicians.
This model is a recreation of the original plaster model made by hand in the 1800's under the direction of Felix Klein. This is a FULL SIZE 1:1 version.
It shows the 27 possible lines on a smooth cubic surface and is the "god-head" of the series of 23 types of singularities possible on a Cubic Surface (that are also shown on Shapeways).
All the lines are numbered with imprinted numbering of the complex configuration. In total there are 36 possible ways to number the lines.
This series of Clebsch models show various aspects of the complex configuration of geometric objects on this famous surface. Please see the model description to make sure which model contains which objects in the configuration. We'd also be happy to customize a model for you.
The Configuration: 27 total lines: 15 Diagonal Lines and 12 Horizontal Lines (Shafli's "Double Six") 30 points where 2 lines of ruling intersect 24 within the model and 6 at infinity 10 points where 3 lines of ruling intersect (Eckardt Points)
- 7 within the model and 3 at infinity The Sylvester Pentahedron Additionally there are three "passages" which can be seen in the animation below. Three are "holes" that can be easily seen. Three are within the model at the "ears" and the seventh is somewhat vertical at the "waist".
http://formpig.com/blog/?p=3253 http://formpig.com/blog/?p=3311 http://formpig.com/blog/?p=2893
For additional documentation or other models or sizes please contact the author. Note that this models is the same as the Clebsch Diagonal Surface with Imprinted Numbers - with the addition of some of the geometric objects in the Configuration.
The Clebsch Diagonal Surface is a non-singular (i.e. smooth) Cubic Surface originally discovered and documented by Alfred Clebsch (1833 - 1872). The Clebsch Diagonal is a historically important model and was of great interest to early machine designers and mathematicians.
This model is a recreation of the original plaster model made by hand in the 1800's under the direction of Felix Klein. This is a FULL SIZE 1:1 version.
It shows the 27 possible lines on a smooth cubic surface and is the "god-head" of the series of 23 types of singularities possible on a Cubic Surface (that are also shown on Shapeways).
All the lines are numbered with imprinted numbering of the complex configuration. In total there are 36 possible ways to number the lines.
This series of Clebsch models show various aspects of the complex configuration of geometric objects on this famous surface. Please see the model description to make sure which model contains which objects in the configuration. We'd also be happy to customize a model for you.
The Configuration: 27 total lines: 15 Diagonal Lines and 12 Horizontal Lines (Shafli's "Double Six") 30 points where 2 lines of ruling intersect 24 within the model and 6 at infinity 10 points where 3 lines of ruling intersect (Eckardt Points)
- 7 within the model and 3 at infinity The Sylvester Pentahedron Additionally there are three "passages" which can be seen in the animation below. Three are "holes" that can be easily seen. Three are within the model at the "ears" and the seventh is somewhat vertical at the "waist".
http://formpig.com/blog/?p=3253 http://formpig.com/blog/?p=3311 http://formpig.com/blog/?p=2893
For additional documentation or other models or sizes please contact the author. Note that this models is the same as the Clebsch Diagonal Surface with Imprinted Numbers - with the addition of some of the geometric objects in the Configuration.
by
UniversalJoint
Architekton with an A2 and 2 - A1 singularities
This sculpture is a result of the firm's research utilizing digital technologies and revolving around a classical mathematical model collection originally made by hand in plaster in the 1800's.
The image pictured is of a prototype produced in a medical grade, transparent SLA material.
Please inquire at info@formpig.com for more information on this work.
by
UniversalJoint
Architekton with an A2 and 2 - A1 singularities [YZ intersection].
This sculpture is a result of the firm's research utilizing digital technologies and revolving around a classical mathematical model collection originally made by hand in plaster in the 1800's.
The image pictured is of a prototype produced in a medical grade, transparent SLA material.
Please inquire at info@formpig.com for more information on this work.
by
UniversalJoint
Architekton with an A2 and 2 - A1 singularities [XYZ intersection]
This sculpture is a result of the firm's research utilizing digital technologies and revolving around a classical mathematical model collection originally made by hand in plaster in the 1800's.
The image pictured is of a prototype produced in a medical grade, transparent SLA material.
Please inquire at info@formpig.com for more information on this work.
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