Circles to Lines (2024) Drawing by Elkement (Elke Stangl)

Not For Sale

Seller Elkement (Elke Stangl)

Fine art paper, 11x8 in
  • Original Artwork (One Of A Kind) Drawing, Pencil / Ballpoint pen / Watercolor on Paper
  • Dimensions Height 11.7in, Width 8.3in
  • Artwork's condition The artwork is in good condition
  • Framing This artwork is not framed
  • Categories Geometric Geometric
Drawing of stereographic projections of circles on a sphere onto lines in the equatorial plane. Traditional descriptive geometry, axonometry based on the projections from "above" and from "the side". Pencil, watercolor pencil, ballpoint pen, gel pen on watercolor paper. A line is just a circle, albeit with an infinite radius. Years ago, during the [...]
Drawing of stereographic projections of circles on a sphere onto lines in the equatorial plane. Traditional descriptive geometry, axonometry based on the projections from "above" and from "the side". Pencil, watercolor pencil, ballpoint pen, gel pen on watercolor paper.

A line is just a circle, albeit with an infinite radius.

Years ago, during the dark ages of the pandemic, I was totally into stereographic projection.

There is so much to unpack; you go deeper and deeper into rabbit holes of physics and math, spinning, rotating, and boosting until you are dizzy.

Or you can just draw circles and lines. Challenge yourself by drawing so many lines on bumpy watercolor paper.

Color your shapes. And be unable to unsee the colorful Death Star once you added your first alien-spaceship-hatch-like circle.

Circles on the surface of the sphere are projected onto the equatorial plane, by connecting each point of the circle to the North Pole and intersecting this connecting ray with the base plane.

The closer a point is to the North Pole, the farther away from the origin of the co-ordinate frame the projection target is. The North Pole itself is mapped onto infinity. In a map of the Earth constructed in this way, the North Pole would be missing; you would need another projection from the South Pole to cover the Northern hemisphere completely.

Related themes

Physics Mathematics Science Geometry Stereographic Projection

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elkement is crafting virtual sculptures with code (no AI!) and with pencils - structures based on mathematical functions. Her art is based on and inspired by physics, engineering, and tech. Inspired by the aesthetics [...]

elkement is crafting virtual sculptures with code (no AI!) and with pencils - structures based on mathematical functions. Her art is based on and inspired by physics, engineering, and tech. Inspired by the aesthetics of vintage patent drawings and by Sir Roger Penrose’s handcrafted sketches, elkement is searching for the nexus of science and art.

elkement enjoys spotting the uncanny in the allegedly simple and mundane. Having created virtual three-dimensional structures with code, she is always searching for an unusual perspective to challenge preconceived notions. She often juxtaposes her visual art with her Found Poetry when she presents her art (at elkement.art).

Recurring motifs in elkement's digital art are diffraction patterns. Since early childhood, elkement had been fascinated by the pure spectral colors of the rainbow and by the physics underlying their creation. Forming structures from diffraction patterns that are both based on exact math and that resemble the patterns you actually see encapsulates the beauty of the phenomena as everybody can experience them, as well as the beauty of the underlying math. 

elkement is a physicist by training who fondly remembers her high school classes in descriptive geometry and fine art.

(In case you read this in a language other than English, it is an automated translation.)

This gallery profile was in March 2022. Profits for artworks created in 2022 go to Ukraine aid - to 'Cards for Ukraine' - a small, transparent organization helping Ukrainian refugees in Austria. 

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