Circles to Lines by elkement

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Art code 1482429
Circles to Lines by elkement
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About "Circles to Lines"

by elkement

About the artwork

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.

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.

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About elkement

Elke Stangl (elkement) (she/her) is an Austrian physics PhD working as an engineer. Her mathematical art is borne out of her life-long passion for the theoretical underpinnings of her craft. She is creating virtual three-dimensional structures from mathematical functions – digitally with code or with ruler and compass, using.. Read more…

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This artwork doesn't have reviews yet. 4,297 customers rate us with a 4.8 / 5

    Hubert H.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in March 2019
    Günther S.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in May 2025
    Mark
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in July 2019
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    Netherlands
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    Verified review from Kiyoh Ordered in August 2022
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    5 / 5
    Verified review from Kiyoh Ordered in January 2022
    Marcel
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    4.5 / 5
    Verified review from Kiyoh Ordered in May 2021
    de Waal
    Netherlands
    4.5 / 5
    Verified review from Kiyoh Ordered in October 2017
    M44
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in August 2021
    Manuel K.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in June 2020
    Peter Haksteen
    Netherlands
    5 / 5
    Verified review from Google Ordered in April 2024
    Jeannette
    Netherlands
    4.5 / 5
    Verified review from Kiyoh Ordered in July 2019
    Anne B.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in November 2020

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