Gabriels horn, artwork
Wall Art and Photo Gifts from Science Photo Library
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. Gabriels horn is created by rotating the curve y=1/x (yellow) around the X axis. The figure is cut off for values lower than x=1. The rotation creates a trumpet-like shape that has a finite volume, but an infinite surface area. The shape can be seen tapering off into infinity as the curve continues to approach the X axis but never touches it
Science Photo Library features Science and Medical images including photos and illustrations
Media ID 9228969
© RUSSELL KIGHTLEY/SCIENCE PHOTO LIBRARY
Area Axes Axis Calculus Curve Form Function Geometrical Geometry Horn Math Mathematical Mathematics Plane Plane Curve Radius Rotate Rotation Shape Volume X Axis Torricelli
EDITORS COMMENTS
This artwork titled "Gabriel's Horn" showcases the intricate beauty of a surface of revolution. Created through computer-generated imagery, this piece depicts the rotation of the curve y=1/x (colored in yellow) around the X axis, resulting in a trumpet-like shape that gradually tapers off into infinity. What makes Gabriel's Horn truly fascinating is its mathematical properties. While it possesses a finite volume, its surface area is infinite. As we observe the figure, we can see how it extends endlessly as the curve approaches but never touches the X axis. This concept challenges our perception and highlights the wonders of geometry and calculus. The artist skillfully captures both form and function in this illustration, emphasizing key elements such as axes, radius, and plane curves to convey mathematical principles visually. Through this artwork, viewers are invited to explore concepts like rotation and torricelli while appreciating the elegance found within mathematical shapes. Russell Kightley's creation not only serves as an aesthetically pleasing piece but also sparks curiosity about mathematics' role in artistry. By combining creativity with scientific understanding, Gabriel's Horn reminds us of how interconnected these disciplines truly are – unveiling hidden beauty within complex equations and inspiring further exploration into their depths.
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