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Torus. Computer model of the three-dimensional projection
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Torus. Computer model of the three-dimensional projection
Torus. Computer model of the three-dimensional projection (or shadow) of a 4-dimensional torus, a mathematical shape. The projection is covered in holes to show the looping intersecting structure. The torus does not actually pass through itself in the fourth dimension. The intersecting structure results from viewing it in only three dimensions. This model was created as an artwork by Professor Eric Heller
Science Photo Library features Science and Medical images including photos and illustrations
Media ID 6293647
© ERIC HELLER/SCIENCE PHOTO LIBRARY
Abstract Artist Artistic Computer Model Dimensions Four Dimensional Geometrical Geometry Heller Mathematical Mathematics Maths Modelled Physicist Professor Eric Shadow Shape Simulated Simulation Toroidal Torus
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EDITORS COMMENTS
This print showcases an extraordinary computer model of a torus, created by the artistic genius Professor Eric Heller. The torus is a mathematical shape that exists in four dimensions, but this particular projection allows us to observe its intricate structure in three dimensions. Covered with holes strategically placed to emphasize its looping and intersecting nature, the image reveals the mesmerizing complexity of this geometric marvel. It is important to note that although it may appear as if the torus passes through itself, this phenomenon only occurs when viewed from our limited perspective in three dimensions. In reality, within the fourth dimension, such self-intersections do not take place. Professor Eric Heller's artwork seamlessly blends artistry with scientific research and exploration. As both a physicist and mathematician, his expertise shines through in this simulated 2D representation of a 4D torus. Through his meticulous modeling techniques and deep understanding of geometry, he brings forth an awe-inspiring visual interpretation of abstract concepts. This thought-provoking piece invites viewers into a world where mathematics meets artistry – where shapes transcend their physical limitations and challenge our perception of reality. It serves as a testament to how creativity can illuminate even the most complex scientific ideas while simultaneously captivating audiences from all walks of life.
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