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. 4,301 customers rate us with a 4.8 / 5

    Naomi
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in September 2017
    Bijan R.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in May 2019
    Marga
    Netherlands
    4.5 / 5
    Verified review from Kiyoh Ordered in November 2019
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    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in November 2021
    renate m.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in March 2019
    Liliane Van Kan
    Netherlands
    5 / 5
    Verified review from Google Ordered in March 2024
    Sandra R.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in December 2021
    Joyce
    Netherlands
    5 / 5
    Verified review from Kiyoh Ordered in June 2022
    Dietmar R.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in October 2019
    Andreas K.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in February 2022
    Geert de Vries
    Netherlands
    5 / 5
    Verified review from Google Ordered in November 2023
    B. W.
    Germany
    5 / 5
    Verified review from Trusted Shops Ordered in March 2021

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