MO-Labs creates Mathematical Objects, see MO-Labs.com. Currently, some of our Math Objects are on display in the exhibition "Forms and Formulas" at the National Museum of Natural History and Science at Lisboa, Portugal. Until March 2013, it shows 45 of our Size-S cubic surfaces with lines and also six Size-XL surfaces (30cm tall) together with many new and historical models and even interactive pieces. See our MO-Labs Blog for some more details.
MOLabs is selling 11 products in Classics section
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MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
The Kummer Quartic is one of the most classical mathematical shapes; it was studied by E.E. Kummer around 1870. This smoothed version is highly symmetric; actually, it has the symmetry of one of the Platonic Solids, namely the regular tetrahedron. In modern mathematical classification terms, this surface is called a smooth K3 surface of degree 4.
More info on MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
The Kummer Quartic is one of the most classical mathematical shapes; it was studied by E.E. Kummer around 1870. This smoothed version is highly symmetric; actually, it has the symmetry of one of the Platonic Solids, namely the regular tetrahedron. In modern mathematical classification terms, this surface is called a smooth K3 surface of degree 4. More info on MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
A more than 100 year-old classic for your own desk, in a modern, improved version!
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
In 1869, Christian Wiener constructed the first model of a cubic surface with 27 lines (in plaster, by hand!). This achievement opened the way for many similar objects in the following couple of years.
One of the most famous of these is certainly the one of the Clebsch Diagonal Surface which had been studied by Alfred Clebsch. Its model was probably planned by Alfred Clebsch and Felix Klein. Compared to the historical model, our version has the advantage that it only shows the surface itself and not a large body of plaster material as a support which is not part of the surface and which distracts from the pure geometry of the surface.
Part of the aesthetics of our objects comes from the fact that we chose to represent the surface in such a way that the ratio between the height and the width of our object is the so-called golden ratio.
For more info see MO-Labs.com.
by
MOLabs
The Swallowtail is one of the very few surfaces of which there are several quite different historical models, and at the same time, it is one of the surfaces which appear in many different areas of mathematics.
The shape of the one we show looks close to models around 1890 in Germany and the Netherlands. Most of the classical models, however, consisted of a metal structure with strings.
The Swallowtail is known as the so-called discriminant of polynomials of degree four. More recently, the swallowtail became important in very different areas of mathematics, such as singularity theory and catastrophy theory.
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