Elke Stangl (elkement)
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elkement.art
Elke Stangl (elkement)
@elkement.art
1.1K followers 550 following 720 posts
Art grounded in physics and math - generated with pencils, code, or digital pen (No AI). #SciArt.
Physics PhD, worked on: Heat pumps, superconductors, cyber security.
Website and blog: https://elkement.art
She/her
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elkement.art
New addition to my #PhysicsArt store!

Pillows printed with my geometrical drawings on paper - based on the physics of the gyroscope. #SciArt #MathArt

Each of the four pillows is featuring two different drawings on front and back!

store.elkement.art/pages/pillows
Collage of mockups for a pillow, printed with two different geometrical artworks on front and back. The pillow is seen straight-on from either side and from two angles. Artworks: Watercolor pencil drawings showing an ellipsoid intersecting a sphere from four different viewpoints, traditional descriptive geometry. Background resembling stained glass. Rainbow colors. By elkement 2025. Each drawing shows a differently shaped ellipsoid from a different viewpoint, in different colors. Main colors in either artwork: Blue/yellow and green/purple.
November 20, 2025 at 2:52 PM
elkement.art
"Poinsot's Pixel Spaceship"

Physics of the gyroscope - seen as an invasion of friendly aliens :)

#SciArt #MathArt #PhysicsArt

Ellipsoid intersecting sphere as the equations say :)

Hand-crafted Javascript code based on #threejs, no AI. MathJax for the LaTex characters.

Physics details in ALT.
Digital collage of code-generated artworks: An purple ellipsoid intersects a blue sphere. Either sutrface is shown as covered with dots in varying colors. Ethereal, sparkling effect. Background: Physics of the force-free gyroscope. The intersection of ellipsoid and sphere represents the path the angular momentum vector traces out, seen from the spinning gyroscope. Equations for constant energy (ellipsoid) and magnitude of constant angular momentum (sphere) are added as LaTex characters, floating over the surface of the ellipsoid.
November 14, 2025 at 12:55 PM
elkement.art
I am a physicist creating art based on the math behind physics - with watercolor pencils or with hand-written code (No AI).

In my store, I am offering canvas prints, pillows, coffee mugs, and fluffy blankets:

store.elkement.art

Pillows and mugs show two different artworks on each side!

Thanks!
Photo of a ceramic mug with a colorful geometric watercolor painting printed on it. Orthographic projection of an ellipsoid intersecting a sphere, based on the physics of the force-free gyroscope. Part of a series of 4 drawings; the mug feeatures two different drawings on each side. By elkement 2025. Throw blanket with colorful geometric construction art printed on it, laid out on a couch. The drawing shows how circles are projected onto circles via stereographic projections. Watercolor pencils. By elkement 2025. Photo of a canvas print of digital mathematical art created with code. The math is based on the physics of diffraction, resulting in a 3D fabric-like structure in rainbow colors. By elkement 2025. Canvas print of digital (code generated) mathematical art, showing 3D Lissajous Figures rendered as metallic tubes in blue and green. By elkement 2025.
November 11, 2025 at 8:19 PM
elkement.art
I've added #MathArt pillows to my store - using my 2024 3D Lissajous Figures art!

store.elkement.art/pages/pillows

#SciArt created with hand-written code (no AI).

Each of the four pillows shows different but closely related figures on the front and and the back:
Mockups of pillows with mathematical art created by elkement (with hand-written code) - front sides: Sets of self-similar Lissajous Figures in different colors, two of them also showing the 2D projections. Two of them show the figures glowing on dark background, the other ones show the figures ind bold colors, graphic-design-style. By elkement 2025. Mockups of pillows with mathematical art created by elkement (with hand-written code) - back sides: Sets of self-similar Lissajous Figures in different colors, two of them also showing the 2D projections. Two of them show the figures glowing on dark background, the other ones show the figures ind bold colors, graphic-design-style. By elkement 2025.
November 11, 2025 at 3:03 PM
elkement.art
New geometrical drawing of mine, colored with watercolors.

Spins in quantum mechanics and stereographic projection. "Where does this weird factor 1/2 come from"

#SciArt #MathArt #PhysicsArt

Inspired by Roger Penrose! My 2021 blog post about the math: elkement.art/2021/10/26/s...
Summary in ALT!
Geometrical construction colored with watercolors and annotated with mathematical formulae: Spin in quantum mechanics related to stereographic projection. By elkement 2025. The spin is built from an up and a down component. If you visualize it as an arrow pointing in a certain direction, you can project down the point where the spin punctures the sphere. The image point In the equatorial plane can be interpreted as the ratio of the "amounts" of up and down component (This is not exact terminology.) Playing with the geometry, half of the inclination angle theta of the original arrow shows up again when looking at the projection in the plane. This factor one half is what a lot of weirdness of spins can be traced back to (like: "You need two full rotations to get back to the original state").
November 10, 2025 at 6:03 PM
elkement.art
I've given the classical cylindrical mug vintage coffee-set vibes ... but with a geeky touch! ☕ 🤓

This mug shows two of my hand-made drawings based on physics, each an eloborate geometrical construction. 📐✏️

Available in my store:
store.elkement.art/en-eur/produ...

#SciArt #MathArt #PhysicsArt
Photo of a white ceramic cylindrical mug on a wooden coffee table. The mug is printed with a rainbow-colored geometric watercolor pencils drawing: An ellipsoid intersecting a sphere, constructed as an orthographic projection based on the three 2D straight-on projections. The combination of oblate ellipsoid and sphere resembles an UFO. Original drawing and mug design by elkement.art 2025. Photo of a white ceramic cylindrical mug on a wooden coffee table. The mug is printed with two colorful geometric watercolor pencils drawing. The photo shows parts of each drawing and the artist's logo between them. Photo of a white ceramic cynindrical mug on a wooden coffee table. The mug is printed with a colorful geometric watercolor pencils drawing: An ellipsoid intersecting a sphere, constructed as an orthographic projection based on the three 2D straight-on projections. Main colors: Orange, violet, and black. Original drawings and mug design by elkement.art 2025. Photo of a white ceramic cylindrical mug on a wooden coffee table. The mug is printed with a colorful geometric watercolor pencils drawing: An ellipsoid intersecting a sphere, constructed as an orthographic projection based on the three 2D straight-on projections. Main colors: Orange, violet, and black. Original drawing and mug design by elkement.art 2025. Photo of a white ceramic cylindrical mug on a wooden coffee table. The mug is printed with a colorful geometric watercolor pencils drawing. The photo shows parts of each drawing and the handle and a text with the artworks' names between them. Original drawings and mug design by elkement.art 2025.
November 3, 2025 at 12:46 PM
elkement.art
"Metropolis of Math"

Using my own code-generated digital art (threejs/Javascript code, no AI) as a reference for watercolor paintings - two different interpretations!

The three towers are based on three different functions (loosely inspired by orbitals).

#MathArt #SciArt
Photo of a digital artwork (threejs rendering of a mathematical function as tubes) on an ipad, and two watercolor paintings below that as based on the digital image as a reference. By elkement 2025.
November 1, 2025 at 8:56 PM
elkement.art
I tried the invite link on illustratingmath.org , but it seems to be invalid?

discord.com/invite/wh2bm...
Screenshot of discord popup - invite link invalid.
October 30, 2025 at 8:40 AM
elkement.art
My version of this - I called it Dirac's Belt Swimming in Dirac's Sea :) Inspired by Roger Penrose's book The Road to Reality.

Watercolor and acrylics #SciArt #MathArt #PhysicsArt

Math brackground (plus early sketch of this) in this blog post of mine: elkement.art/2021/02/15/d...
Painting illustrating Dirac's Belt Trick: Undoing a 720° rotation of a belt fixed at one end with a kilogram weight. Four phases of the transition painted in different colors. By elkement 2024.
October 27, 2025 at 2:47 PM
elkement.art
Quick reminder that I launched a new shop for selected canvas prints and merch last week 😇

store.elkement.art

Art based on the math unterlying physics. Created with hand-written code or with watercolor pencils (no AI). Printed on canvas, coffee mugs, and throw blankets.

#SciArt #MathArt
Screenshot of the home page of an online store, offering canvas prints, coffee mugs and blankets based on art inspired by physics and math. Code generated art (diffraction curves, Lissajous figures) is printed on canvas, geometric constructions (axonometry) colored with watercolor pencils printed on mugs and blankets.
October 27, 2025 at 1:51 PM
elkement.art
Watercolor practice: I've painted the safety assembly of our heat pump! :)

There should be a hash tag #EngArt. Or does it count as #SciArt ? This heat pump has been part of quite a research project :)
Watercolor painting of the safety assembly (pressure sensor, safety valve) on top of a brine-water heat pump. Steampunk-like brass in front of brine and water pipes insulated with plastic foam. By elkement 2025.
October 25, 2025 at 6:19 PM
elkement.art
See my photos of the fluffy mathematical blanket that was in the mail today! 😍

Printed with my traditional geometrical drawing:
"Circles to Circles 4" - orthographic projection of stereographic projection. 📐✏️

#SciArt #MathArt

Available in my shop: store.elkement.art/products/cir...
Photo of a throw blanket with mathematical art laid out flat the floor (tiles in rusty metal design) of a room. 50in × 60in fluffy shiny blanket printed with reproduction of traditional manual geometrical construction originally created with watercolor pencils on paper. Colored in the style of stained glass, main colors in the drawing: Orange, yellow, light green, dark green. Created by elkement 2025. Photo of a throw blanket with mathematical art, on a chair in retro design. 50in × 60in fluffy shiny blanket printed with reproduction of traditional manual geometrical construction originally created with watercolor pencils on paper. Colored in the style of stained glass, main colors in the drawing: Orange, yellow, light green, dark green. Created by elkement 2025. Photo of a throw blanket with mathematical art laid out on an off-white leather couch. 50in × 60in fluffy shiny blanket printed with reproduction of traditional manual geometrical construction originally created with watercolor pencils on paper. Colored in the style of stained glass, main colors in the drawing: Orange, yellow, light green, dark green. Created by elkement 2025. Photo of a throw blanket with mathematical art folded, on the backrest of a couch. 50in × 60in fluffy shiny blanket printed with reproduction of traditional manual geometrical construction originally created with watercolor pencils on paper. Colored in the style of stained glass, main colors in the drawing: Orange, yellow, light green, dark green. Created by elkement 2025.
October 24, 2025 at 2:18 PM
elkement.art
I have finally framed my Cathedral of Math - perspective construction of a mathematical tower:

Perspective construction of a mathematical "tower", watercolor markers and watercolor pencils.

#SciArt #Math

Image to the right: Physics of the gyroscope - Poinsot's cones.

(Yes, this wall is slanted!)
Photo of a wall clock and two framed mathematical artworks. Slanted wall. Geometrical constructions - one perspective projection, the other orthographic projection. Black frames with white mat. Art by elkement 2024/2025.
October 22, 2025 at 2:38 PM
elkement.art
Another one from my series of diffraction curves artworks - this time it is a photo of the canvas print!

Placed the print so light illuminates it from the left, at a very small incident angle. So, near the left edge the shimmering texture of the canvas is visible.

#MathArt #SciArt
Photo of a canvas print of mathematical art: Diffraction curves for different wavelengths, mounted on circles, appearing as a wavy fabric in rainbow colors. Part of the series Sparse Spectral Spaceport by elkement 2025.
October 19, 2025 at 6:32 PM
elkement.art
So, it is #PortfolioDay again!

I am Elke(ment), a physicist turning the math underlying physics into visual art, with hand-written computer code or with pencils. Or I am drawing objects from glass dispersing light! (No AI).

#SciArt #MathArt #PhysicsArt

My website: elkement.art
Sparse Spectral Spaceport, by elkement 2024-2025, digital art generated with computer-code (no AI). Mathematically exact diffraction curves mounted on circles: Intensity of light of different wavelength, diffracted into different directions. Poinsot's Dancing Cones, by elkement 2024, photo of geometrical construction on canvas board (no AI): Three cones used by French mathematician Louis Poinsot's to visualize the motion of the force-free gyroscope. Cosmic Cloverleaf, by elkement 2024, digital art generated with computer-code (no AI): Tower-like mathematical function inspired by orbitals (spherical harmonics) Celebration of Dispersion, by elkement 2024, photo of a drawing on watercolor paper: Watercolor pencils, ballpoint pen (no AI): Crystal reflecting and dispersing white light, causing rainbow patterns.
October 14, 2025 at 1:32 PM
elkement.art
That's why I call this series "Osciloscopic Dance" - see my flight through my "virtual sculpture" from 3D Lissajous Figures!

#SciArt #MathArt

The series comprises still images of them in different colors, seen from different viewpoints.

Canvas prints: store.elkement.art/pages/physic...
October 10, 2025 at 2:35 PM
elkement.art
Flying through the "spaceport" of my diffraction art!

Intensity of diffracted light for different wavelengths.

#SciArt #MathArt #PhysicsArt
October 8, 2025 at 1:09 PM
elkement.art
The weirdest of my series Sparse Spectral Spaceport (Delta) - diffraction curves mounted on a circle (separate cylindrical screen for different wavelengths)!

Peaks are seen from below, distorted by perspective.

Designed for canvas prints wrapping around the frame.

#SciArt #MathArt
Mockup of a camvas print of the artwork "Sparse Spectral Spaceport - Delta"" by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelengths, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup also created with Javascript/threejs. Mockup of a camvas print of the artwork "Sparse Spectral Spaceport - Delta"" by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelengths, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup also created with Javascript/threejs. Artist logo and text (name of artwork) placed on the left and right sides of the canvas. Mockup of a camvas print of the artwork "Sparse Spectral Spaceport - Delta"" by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelengths, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup also created with Javascript/threejs. Artist logo and text (name of artwork) placed on the left and right sides of the canvas. Mockup of a camvas print of the artwork "Sparse Spectral Spaceport - Delta"" by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelengths, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup of the canvas print in front of a white brick wall.
September 30, 2025 at 2:52 PM
elkement.art
Another one from my series "Sparse Spectral Spaceport" - virtual 3D scupltures from mathematically exact diffraction curves.

Intensity of diffracted light depending on the position (angle). The diffraction grating would be in the center of the structure.

#MathArt #SciArt
Sparse Spectral Spaceport Zeta by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelength, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025.
September 28, 2025 at 4:42 PM
elkement.art
Actually, the very first ones have been these "models" 🤣 - for visualizing the shapes! (3D software has not been sufficient :) )
Photo of two rough models of the 3D Lissajous figure defined by x=sin(t), y=sin(2t), z=sin(3t) - one from a thick wire, the other one from a strip of paper. By elkement 2024.
September 24, 2025 at 3:27 PM
elkement.art
3D Lissajous figures - traditional geometrical drawings:

How it started (2024) | How it's going (2025)

#MathArt #SciArt
Lissajous in a Box (Work in progress). Traditional descriptive geometry. Axonometric projection of the 3D Lissajous figure described by x=sin(t),y=sin(2t),z=sin(3t), as created from the 2D views sin(t)/sin(2t) (bottom) and sin(2t)/sin(3t) (top right). By elkement 2024. Photo of a geometric watercolor pencils drawing on stretched canvas: Three overlapping Lissajous figures defined by combinations of sin(t), sin(2t), sin(3t), and a third "3D" view as an orthographic projection. The lines are used as a tesselation of the drawing surface and colored in the style of stained glass. The painting has been completed as has been varnished. By elkement 2025.
September 24, 2025 at 3:24 PM
elkement.art
Art from diffraction curves: "Sparse Spectral Spaceport Alpha". Capturing light of different wavelengths on cylindrical screens of different radii.

Actual art + mockups for 18x12x1.5 inch canvas prints. Both art image and mockups created with threejs.

#SciArt #MathArt #PhysicsArt #Optics
Sparse Spectral Spaceport: Alpha by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelength, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup of a camvas print of the artwork Sparse Spectral Spaceport: Alpha by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelength, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup also created with Javascript/threejs. Mockup of a camvas print of the artwork Sparse Spectral Spaceport: Alpha by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelength, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup also created with Javascript/threejs. Mockup of a camvas print of the artwork Sparse Spectral Spaceport: Alpha by elkement. Digital art based on physics, created with custom code using threejs. Diffraction curves for different wavelength, mounted on a circle. As if there was a cylindrical screen of different radius for each color (wavelength). Created 2024, optimized for canvas prints 2025. Mockup also created with Javascript/threejs.
September 20, 2025 at 5:41 PM
elkement.art
Yes, I am developing "threejs art to present threejs art" :)

I am creating my own ockups for my upcoming series of canvas prints - 3D Lissajous figures dancing with each other.

#SciArt #MathArt #CodeArt #NoAI
Mockup of a canvas print showing mathematical art - 3D Lissajous figures rendered as metallic tubes. The mockup shows the canvas as viewed from a slanted angle, showing the front and two sides. One of the sides displays the logo of the artist - elkement. Mockup of a canvas print showing mathematical art - 3D Lissajous figures rendered as metallic tubes. The mockup shows the canvas as viewed from a slanted angle, showing the front and two sides. One of the sides displays the name of the artwork and the URL of the artist website: "Oscilloscopic Dance by elkement.art 2025"
September 12, 2025 at 8:50 AM
elkement.art
Flying through my city of math - looking at three different towers, each generated from a single mathematical function!

#SciArt #MathArt #threejs
September 7, 2025 at 6:22 PM
elkement.art
Why stop at code-drawing a single mathematical tower? I want a city!

#MathArt
Mathematical functions rendered as if they were futuristic skyscrapers or space stations: Three towers from metallic tubes, in green / orange / pink. By elkement 2025.
September 4, 2025 at 4:21 PM