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Plane Curve Collection

"Exploring the Intricate Beauty of Plane Curves: From Gabriel's Horn to Stunning Artwork" Step into a world where mathematics and art intertwine

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8876

Solid of revolution, artwork C016 / 8876
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (here it is the x axis)

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8881

Solid of revolution, artwork C016 / 8881
Solid of revolution, computer artwork. A solid of revolution is a solid form (grey) made by rotating an area bounded by a curve around an axis that lies on the same plane

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8882

Solid of revolution, artwork C016 / 8882
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (here it it the x axis)

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8877

Solid of revolution, artwork C016 / 8877
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (here it is the y axis)

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8878

Solid of revolution, artwork C016 / 8878
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (here it it the y axis)

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8879

Solid of revolution, artwork C016 / 8879
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (here it it the x axis)

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8880

Solid of revolution, artwork C016 / 8880
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (here it it the x axis)

Background imagePlane Curve Collection: Solid of revolution, artwork C016 / 8875

Solid of revolution, artwork C016 / 8875
Solid of revolution, computer artwork. A solid of revolution is a solid form (yellow) made by rotating an area bounded by a curve (red) around an axis (purple line) that lies on the same plane

Background imagePlane Curve Collection: Gabriels horn, artwork

Gabriels horn, artwork
Gabriels horn, computer artwork. This is a surface of revolution, a shape made by rotating an area bounded by a curve around an axis that lies on the same plane


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"Exploring the Intricate Beauty of Plane Curves: From Gabriel's Horn to Stunning Artwork" Step into a world where mathematics and art intertwine, unveiling the mesmerizing allure of plane curves. One such curve that captivates both mathematicians and artists alike is Gabriel's Horn, a paradoxical shape with infinite surface area but finite volume. This enigmatic curve challenges our perception of space and invites us to delve deeper into its mysterious properties. Artists have taken inspiration from this intriguing mathematical concept, creating breathtaking artwork that showcases the elegance of plane curves. Solid of revolution artworks like C016/8876, C016/8881, C016/8882, C016/8877, C016/8878, C016/8879, C016/8880 and even C016/8875 bring these curves to life on canvas or sculpture. With their intricate details and precise execution, these pieces invite viewers to marvel at the harmonious fusion between mathematics and artistic expression. Gabriel's Horn itself has become an emblematic symbol in various forms of artwork. Its unique shape serves as a metaphor for endless possibilities and boundless creativity. Artists have ingeniously incorporated this curve into their creations – be it paintings or sculptures – infusing them with depth and symbolism. As we explore the realm of plane curves through Gabriel's Horn and its artistic interpretations, we are reminded that beauty can emerge from abstract concepts just as much as it does from nature itself. These captivating artworks not only showcase the aesthetic appeal of mathematical principles but also challenge us to perceive reality in new ways. So next time you encounter a piece inspired by solid revolutions or Gabriel's Horn in an art gallery or museum exhibit - take a moment to appreciate how these artists have translated complex mathematical ideas into visually stunning masterpieces that ignite our imagination while celebrating the intrinsic connection between science and art.