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Math art challenge by @ayliean.bsky.social day 1: Circle. I have no idea yet what I’m doing and whether this is ‘mathematical enough’, but then I tend to approach art challenge prompts as ‘whatever comes to mind for this prompt, no matter how tangential’…

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Here you go! {shout out to Annie Perkins @anniekp.bsky.social #MathArtChallenge from 2020...}
#MathArtMarch #MTBoS #iTeachMath #MathSky

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For Day One of #MathArtMarch I got out the 50+year old spirograph. (Can you see the pin holes - these days spirograph comes with putty, not pins!). Within the circle created in red, I put in another design in black.

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Circles on a Lissajous Curve: Sunday Maths Animations Week 1

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Okay, I’m a little late, but I feel like I could post a puzzle for most days. Day 1, I’ve got Baffling Bubbles puzzles. Each puzzle is made out of a circle packing of mini puzzles. Those circle then expand to overlap and connect with whimsical knobs https://n-e-r-v-o-u-s.com/shop/product.php?code=388 #MathArtMarch [contains quote post or other embedded content]

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When is a circle a circle?

It is quite common in Mathematics to have several descriptions of something. Understanding why the different descriptions are of the same thing can be very illuminating. A very simple example would be that or that .

I recently came across a description of a circle that I hadn't encountered before. It was given in terms of complex numbers, though it doesn't need them. Pick two points on the plane, and fix a ratio 1, then take all the points whose distances from the two points are in that ratio. This turns out to be a circle.

One way to think of this is to imagine two people standing at the two points. Suppose that one can run twice as fast as the other. Then the plane can be divided into two regions depending on which person can get there first. The boundary, consisting of those points that the two reach in the same time, is a circle.

While it's easy enough to show algebraically that this does describe a circle, that was never very satisfying. What I wanted was a geometric explanation. I've finally figured one out.

Unsurprisingly, it involves similar triangles yet again.

The algebraic proof is straightforward. Let and be the coordinates of the points in the plane, let be the ratio of the distances. Let be a point such that the distance to is times its distance to .

Pythagoras' theorem says that the distance from to is:

and the distance from to is:

so the condition that the ratio is means that:

The square roots are annoying, so let's square both sides to get rid of them:

Expanding out the brackets leads to:

Gathering terms then gives:

which is obviously a circle.

So the centre of the circle is at

and its radius is

So, we know that it is a circle. But as a geometer, a purely algebraic method as above doesn't tell me why it is a circle. For that, I need to draw some pictures.

The first thing to see is that the description is coordinate free, and so we can scale, rotate, and translate it without changing the underlying geometry. This might have an effect on the constant, , but if we leave that free then that doesn't matter. So we can take our two points to be at the origin and at . The algebra then tells us that the centre is at:

and the radius is

Note that I'm using the algebra to inform my geometric investigation. I may be after a geometric reason, but I'm not going to ignore all the work I did on the algebra.

The denominator of is irritating, so let's scale everything up by that factor (we'll absorb it into as that's an arbitrary length).

It will be a bit easier if we label lengths rather than coordinates, so we'll draw the line at the bottom and label the two lengths. Since the total distance is and the first part is then the second part now has distance . We'll label the points as well.

At this point, the answer leaps out. Triangle is similar to triangle with scale factor . As point moves, this similarity forces the relationship , which means that is constant as doesn't change. Hence, a circle.

Although we used the algebra to guide our drawing, the only part that still actually relies on the algebra is the location of the centre, . So to complete the geometric argument we need a geometric construction of .

Let's resume from the original diagram in which the distance between and was .

Knowing that similar triangles are the key, we note that the lengths and are defined by being in ratio , so the most natural thing to do is to place a triangle similar to with scale factor adjacent to . There are two ways round to do this and guided by what we know we'll choose the one so that the angle corresponding to ends up at .

The next step in the iteration adds a point on the continuation of the line , and the next on . As we have assumed that , the triangles are getting smaller (in a geometric series) and will therefore converge. Since we add successively points on the continuation lines through and through , the convergence point must be the intersection of these lines.

The more I play with these pictures, the more geometry I find. Let's start with a triangle, with base length . We'll insist that it not be isosceles, and without loss of generality assume that the angle at is the larger of the base angles. As above, we'll look at the ratio of the two non-base sides, but this time we'll think of the ratio of the smaller to the larger.

As before, we'll draw a line at angle to and mark where it meets the extension of .

By construction, triangles and are similar. Therefore, angle . We also have that (by construction) and therefore (by alternate angles). Hence triangle is also similar to .

Looking at the angles, triangle is similar to .

We therefore have two basic triangles and all others are similar to one or other of these. Also, each triangle decomposes into two pieces which are similar to the two basic triangles. We can see this from the decomposition of into and , and of into and .

Continuing the decomposition on triangle and then on any copy of , we end up by filling by ever smaller copies of itself, establishing it as an . This decomposition coincides with the result of the earlier iteration.

Here's an interactive version of that diagram, with added triangles showing the iteration going outwards as well as inwards. You can drag the vertices of the original triangle around.

To find the size of the triangle , we use the various similarities. We have three similar triangles: , , and . As we have assumed that , the lengths of and define the scale factors. So if we put and then the triangles have the following lengths, where each column is a triangle and each row is a family of corresponding lengths:

which rearranges to

and substituting back we get that

which is a nice geometrical proof of the sum of a geometric series.

Lastly, here's an animation to demonstrate this topic. It shows what happens as the ratio varies. As with the previous animation, the points can be moved around.

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When is a circle a circle? It is quite common in Mathematics to have several descriptions of something. Understanding why the different descriptions are of the same thing can be very illuminating. A very simple example would be that or that . I recently came across a description of a circle that I hadn't encountered before.

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This is a heavily interactive web application, and JavaScript is required. Simple HTML interfaces are possible, but that is not what this is.

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🍁 Jo's photography and artwork 🇨🇦🍁

wordsarenotenough.bsky.social

did:plc:2nz3s4ynurddz5xqnbc3mr2h

Fun art challenge! Day 1 - circle I have so much art work with circles... here is a pastel doodle from years ago, just rediscovered this morning going through boxes #MathArtChallenge #circle #ArtYear #drawing [contains quote post or other embedded content]

2025-03-01T21:19:49.956Z

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🍁 Jo's photography and artwork 🇨🇦🍁 (@wordsarenotenough.bsky.social)

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🍁 Jo's photography and artwork 🇨🇦🍁 (@wordsarenotenough.bsky.social)

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Fun art challenge! Day 1 - circle I have so much art work with circles... here is a pastel doodle from years ago, just rediscovered this morning going through boxes #MathArtChallenge #circle #ArtYear #drawing [contains quote post or other embedded content]

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Gwen Fisher

gwenbeads.bsky.social

did:plc:jvab5lojpgjq7hagx6s5dzl2

Aylian @ayliean.bsky.social decided that we'd have a #MathArtChallenge in March. The prompt for March 1 is "Circle." "Tribert Tries to Make Life Doodle No. 140" Tribert tried to make Adenine, a molecule in DNA, but he didn't get the bonding right, probably because he got distracted by the cats.

2025-03-01T21:42:32.359Z

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Aylian @ayliean.bsky.social decided that we'd have a #MathArtChallenge in March. The prompt for March 1 is "Circle." "Tribert Tries to Make Life Doodle No. 140" Tribert tried to make Adenine, a molecule in DNA, but he didn't get the bonding right, probably because he got distracted by the cats.

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Seeing the themes of woven and circle today for two different challenges, thought I’d rough out an idea based on circular weaving. #MathArtMarch #MakersmARTch

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Mona Lisa with concentric circles for today’s #MathArtMarch theme of circles.

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Hravn

hravn.bsky.social

did:plc:thhznhuuiewv23xdnes5e34k

Just discovered #MathArtMarch! The theme today is #circle so here's a circular iridescent glass #fusedglass piece with even more circles! I love circles 😊 #glassart

2025-03-02T01:19:05.760Z

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Just discovered #MathArtMarch! The theme today is #circle so here's a circular iridescent glass #fusedglass piece with even more circles! I love circles 😊 #glassart

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Here’s another one with circles for day 1
#MathArtMarch
@ayliean.bsky.social Similar to the first one but now they’re re-partitioned into two groups. Again this is for my work on the Seymour Second Neighborhood Conjecture (this was an application) #mathsky #compsky

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Ayliean is doing a math art March. Thought I’d do what I could.

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Alex Romero

tilefarmer.bsky.social

did:plc:rhr3zrenr7p3yogdedqhggs6

As part of day 1 of #MathArtMarch, the prompt is "Circle". Here is one of those waving cats I made in Tile Farm Studio using dotted tiles. Any guesses how many dots (circles) there are? #math #mathArt #TileFarm #circle

2025-03-02T01:54:00.154Z

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As part of day 1 of #MathArtMarch, the prompt is "Circle". Here is one of those waving cats I made in Tile Farm Studio using dotted tiles. Any guesses how many dots (circles) there are? #math #mathArt #TileFarm #circle

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Hanusa Design

hanusadesign.com

did:plc:3kjf65w42fvjgzxs5hc2bcht

What great prompts! I have some jewelry that fit many of these words; I'll see if the other topics inspire new pieces. Day 1 of #MathArtMarch is my Circle Around Pendant, featuring circles of circles! hdsn.us/MP414 [contains quote post or other embedded content]

2025-03-02T03:58:24.554Z

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What great prompts! I have some jewelry that fit many of these words; I'll see if the other topics inspire new pieces. Day 1 of #MathArtMarch is my Circle Around Pendant, featuring circles of circles! hdsn.us/MP414 [contains quote post or other embedded content]

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And since it’s already March 2 in many parts of the world, I’ll share mathematical jewelry on a three-dimensional square grid: 3D Plus Earrings, made up of seven cubes. The grid structure provides gives different views from different angles. hdsn.us/NE206 #mathjewelry #MathSky #MathArtMarch

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Day 2 of #MathArtMarch (remember, we here in Australia are hours and hours ahead). On a grid? Some hitomezashi. Martinez and Sen devised this pattern for a wallpaper symmetry that had eluded me. It has a glide reflection axis, possible position indicated by the little arrows.

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#Woven dreams of #spring in dystopia for #makersmARTch #BlueskyArtShow and #ArtFlood2025. Tbh I didn’t think I’d finish this in time and I was a little unsure of the. Olor palette, Spring 2025 Fashion Colors, but in the end I’m loving how it turned out. 12”x12” mandala in #procreate

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Math art challenge #MathArtMarch by @ayliean.bsky.social day 2: On a square grid. I had several ideas, but in the end decided to go with pixel art. I used a photo of a real four leaf clover that I found myself for this. (As my profile picture shows, four leaf clovers are a bit of a thing with me.)

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@ayliean.bsky.social Had a Quick Look through my photo gallery for #MathArtMarch
day 2, “on a square grid”.

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Post by @fullywoven.bsky.social — Bluesky

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For #SciArtSeptember Day 7: indigo a little story of analogy & bias in the most famous physicist of all. My print is inspired by the earliest colour wheel, made by Isaac Newton. 🐡🧪#histsci 🎢When he first split white light in 1665 into the rainbow spectrum of colours, he named what he saw 🧵1/2

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Day 10 #ArtAdventCalendar: the famous Arecibo message, an interstellar radio message carrying basic information about humanity and Earth that was sent to the globular cluster Messier 13 in 1974 alongside a view of space with stars & nebulae. 🧪🐡 #histsci Designed by astronomers who were thinking

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On a square grid. We’ll, you don’t get much square-er than a spreadsheet! Source: https://loopspace.mathforge.org/HowDidIDoThat/GAS/JuliaSet/ #MathArtMarch

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Arin Rae

arinrae.bsky.social

did:plc:nx4wkc5bme6ms7oyzkvpnhtq

Sneaking in a day late for #MathArtMarch Day 1 (Circles) - such a cool prompt list! This sketch is an oldie, but the radial wedges of fruit cross sections are a perfect circular representation of math in nature. #sciart #watercolor #art #sketchbook [contains quote post or other embedded content]

2025-03-02T17:31:41.249Z

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Sneaking in a day late for #MathArtMarch Day 1 (Circles) - such a cool prompt list! This sketch is an oldie, but the radial wedges of fruit cross sections are a perfect circular representation of math in nature. #sciart #watercolor #art #sketchbook [contains quote post or other embedded content]

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Gwen Fisher

gwenbeads.bsky.social

did:plc:jvab5lojpgjq7hagx6s5dzl2

The theme for Day 2 of #MathArtMarch is "on a square grid." So here is a patch of hitomezashi stitching that I used to reinforce the worn fabric on the front of a pair of old blue jeans. The patch is vintage silk kimono fabric and the thread is 12 wt cotton. #sashiko #visiblemending

2025-03-02T18:55:32.961Z

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The theme for Day 2 of #MathArtMarch is "on a square grid." So here is a patch of hitomezashi stitching that I used to reinforce the worn fabric on the front of a pair of old blue jeans. The patch is vintage silk kimono fabric and the thread is 12 wt cotton.

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nice! I like it a lot, obviously. Good idea for day 2. I tried a few things but I’m not convinced by the result.
#mathartmarch

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Down a “square grid” rabbit hole. #MathArtMarch

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Two tiles, randomly selected, rotated by f(i,j)*90 degrees. For Ayliean’s Math Art March, Day 2: on a square grid. Inspired by Jean-Baptiste Etienne’s much cooler roads tiling. Play in GeoGebra.

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#MathArtMarch Day 2: On a Square Grid let x2 = (x-32)/5;
let y2 = (y-32)/5;
return (10/(x2*y2))*Math.sin(x2*x2+y2*y2); almost ( made with https://curved-ruler.github.io/webgl-sketches/grid/grid.html )

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@ayliean.bsky.social Here’s another from my photo gallery sort of on the theme “on a square grid”. Just fold-doodling on a post-it pad. #MathArtMarch.

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Day 2: The #MathArtMarch prompt is “on a square grid”. Here are squares on a grid of squares. The rows and column align but can look wonky! Daily inspiration via math-nificent imagination on BlueSky. Let’s march through March with mathematical fun! Thanks @ayliean.bsky.social for the prompts.

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#MathArtMarch Day 1: Circle An octahedron and a cube in cyclographic projection

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#mathArtMarch #mathart #mtbos I put all the prompts in one doodle :) @ayliean.bsky.social - thanks for hosting such a fun prompt list!

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#MathArtMarch day two, “on a square grid”, here’s the square tiling analog of the @n-gons.bsky.social inspired patterns I posted earlier in the week. #math #mathart #tilefarm #tessellation

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Once again concepting both for #MakersmARTch and #MathArtMarch - Button & On A Grid. I envision these eventually looking like painted wooden vintage buttons, on a pile of fabric scraps, but it’s a migraine weekend.

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I generally shy away from daily prompts. However I find @ayliean.bsky.social pretty irresistible. Hence #MathArtMarch Day 1 Circles. This is a bubble print , where you can see the 120 degree angles that form where three bubbles meet.

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Here’s my contribution in bobbin lace to the March 1 “Circle” prompt for the March #MathArtChallenge given by Aylian @ayliean.bsky.social. The Bird of Paradise flower design is by Ulrike Voelcker, but the moon is my design.
#MathArtMarch #MTBoS #iTeachMath #MathSky

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Here’s my contribution in bobbin lace to the March 2 “On a Square grid” prompt for the March #MathArtChallenge given by Aylian @ayliean.bsky.social. Moiré Lace Lamp: details at weft.wlonk.com/lacelamp/
#MathArtMarch #MTBoS #iTeachMath #MathSky

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Ayliean MacDonald’s #MathArtMarch Day 2: On a Square Grid A 55x55 boustrophedonic open knight’s tour.

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A day late but Here’s my contribution “math match cookies” to the March 1 “Circle” prompt for the March #MathArtChallenge given by Aylian @ayliean.bsky.social
#MathArtMarch #MTBoS #iTeachMath #MathSky

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#MathArtMarch Day 2: On a Square Grid. Here is my contribution. I hope it matches the theme. It is a cut-and-reassembly of the Mona Lisa using a process that illustrates the Baker’s transformation.

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Katherine Seaton

mathskath.bsky.social

did:plc:64r4gb2rh6gzja3xu63kk6pn

#MathArtMarch Day 3 prompt is nature. I present a knitted chanterelle mushroom made using instructions from the Botanica Mathematica project.

2025-03-03T00:33:59.648Z

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MathArtMarch Day 3 prompt is nature. I present a knitted chanterelle mushroom made using instructions from the Botanica Mathematica project.

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Michelle Breaux

lilikoi44.bsky.social

did:plc:vuqcdxgivsgmsd4fqqu5l67c

Day 2 of #MathArtMarch using the prompts by @ayliean.bsky.social Today was "on a square grid." I decided to sketch on my iPad using Notability because it had a built-in square grid template that I could change the background color on (from white to black). I had a lot of fun just playing around!

2025-03-03T01:30:18.458Z

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Day 2 of #MathArtMarch using the prompts by @ayliean.bsky.social Today was "on a square grid." I decided to sketch on my iPad using Notability because it had a built-in square grid template that I could change the background color on (from white to black). I had a lot of fun just playing around!

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Post by @zanedobler.bsky.social — Bluesky

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My submission for Day 2 of @ayliean.bsky.social ’s #MathArtMarch challenge: On a square grid!

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Norma B Gordon

normabgordon.bsky.social

did:plc:lapw2ywsukyef47hc5ddo3lh

Day 2 of @ayliean.bsky.social's #MathArtMarch "on a square grid" LeWitt wall drawing Mass MOCA. #iteachmath

2025-03-03T05:02:05.178Z

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Day 2 of @ayliean.bsky.social's #MathArtMarch "on a square grid" LeWitt wall drawing Mass MOCA. #iteachmath

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Day 1 of #MathArtMarch
Circles [contains quote post or other embedded content]

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Hravn

hravn.bsky.social

did:plc:thhznhuuiewv23xdnes5e34k

For Sunday's (3/2) #MathArtMarch theme #OnASquareGrid I have a #fusedglass piece that is more or less, a #square grid? Not terribly exciting but I love the combo of cobalt blue and gold iridescent! #Glassart #Artyear #Artflood2025

2025-03-03T08:03:51.052Z

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For Sunday's (3/2) #MathArtMarch theme #OnASquareGrid I have a #fusedglass piece that is more or less, a #square grid? Not terribly exciting but I love the combo of cobalt blue and gold iridescent! #Glassart #Artyear #Artflood2025

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Circles for #mathartmarch 1 Circles of embroidery making mounds in knitting by exploiting the elasticity of the knitting. This sample eventually became part of work about quantum mechanics but I can’t find a photo.

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On a square grid for #mathartmarch 2 All of my Fair Isle type knitting design work starts with squared paper. Knitted stitches are not square but it’s a good approximation and in this case it doesn’t matter. The patterns are generated in Conway’s Game of Life as pixels and each one maps to a stitch

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#MathArt made by Mother #Nature
Glad to find math art here, including #MathArtMarch hosted by @ayliean.bsky.social, thanks Ayliean! I won’t always have entries, but I’ll enjoy looking at everyone’s.
#MacroMonday #Macro #Photography #NaturePhotography #G+Circle #ShareMondays2025 #OnlyBeautifulThings

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For #PrinterSolstice prompt primary colours I combined 3 print media. 🐡🧮🧪 This print is about how fractal patterns appear in nature. I have combined a cyanotype of a fern leaf on Japanese paper, with a red gel print and yellow lino block print of a fractal Sierpiński triangle.
🧵1/n

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The #MathArtMarch prompt for 3/3 is “Nature”. This made me think about the cute honeycomb earrings I designed to go with my honeycomb pendant. They’re a mixture of geometric (hexagons) and organic (generative Voronoi). Earrings: hdsn.us/ME218
Pendant: hdsn.us/SS110 #mathjewelry #MathSky

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Day 3: The #MathArtMarch prompt is “nature”. Given the number of Fibonacci spirals in nature, here is a Fibonacci spiral mosaic. Marching through March with mathematical fun on BlueSky via @ayliean.bsky.social’s prompts.

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Math Art March: Day 3 Nature Stretching it to call this art, but fun to make regardless. Play in GeoGebra.

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Post by @zanedobler.bsky.social — Bluesky

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@ayliean.bsky.social‬
shared themes of the #MathArtMarch: TX! 3rd #nature #sharingisthenewlearning #SharingIsCaring #macrophotography #FlowersOfTwitter #hailstone #PhotographyIsArt [contains quote post or other embedded content]

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#MathArtMarch day 3, prompt is “nature”. Here is a shark I made just using 2 types of isosceles triangles in Tile Farm Studio. The core math behind the design involves subtraction of fractions. #Math #MathArt #TileFarm

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Today’s prompt is “nature”. I don’t subscribe to the view that nature has *any* occurences of either the golden ratio or Fibonacci sequences. But sunflowers are nice. #MathArtMarch

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Dan Piponi

dpiponi.bsky.social

did:plc:4qiqkl3ri76xxxocamc222zn

#mathartmarch "Branched flow" Tracing the paths of light rays sent out from the point in the centre through a disordered medium with a randomly varying refractive index.

2025-03-03T20:28:08.850Z

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mathartmarch "Branched flow" Tracing the paths of light rays sent out from the point in the centre through a disordered medium with a randomly varying refractive index.

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Ayliean MacDonald’s #MathArtMarch Day 3: Nature TSP Art based on Hokosai’s The Great Wave off Kanagawa.

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Wynke

wynke.bsky.social

did:plc:goga2nknw3jd2p7k47qzimgu

Math art challenge #MathArtMarch by @ayliean.bsky.social day 3: Nature. I had a busy day today and didn't get around to creating anything new, so I went into my drawings from earlier challenges to see if I could find something to fit the prompt. I figured a camera obscura projecting a tree counts.

2025-03-03T20:44:33.059Z

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Math art challenge #MathArtMarch by @ayliean.bsky.social day 3: Nature. I had a busy day today and didn't get around to creating anything new, so I went into my drawings from earlier challenges to see if I could find something to fit the prompt. I figured a camera obscura projecting a tree counts.

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Post by @fullywoven.bsky.social — Bluesky

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#MathArtMarch Day 1 (Circle)
Made completely with #PowerPoint
#MathArt #MathsArt #geometry #fractal

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#MathArtMarch Day 2 (On a square grid)
Made completely with #PowerPoint
#MathArt #MathsArt #geometry #fractal

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#MathArtMarch Day 3 (Nature)
Made completely with #PowerPoint
#MathArt #MathsArt #geometry #fractal

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All text and images on this site ©Madeleine Shepherd.

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Day 3 of #MathArtMarch
🌿Nature🦔
Space filling Hilbert Curve with “inner” structure from one edge decorated. Inspired by the internal structure of the MAHOOSIVE cabbage I found in the community hub today

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Paula Beardell Krieg

paulakrieg.bsky.social

did:plc:yicxnmdjzmgtichf5pbvgkkg

Wasn't sure what do post for day 3 of #MathArtChallenge #MathArtMarch -Nature- until I saw @baabbbaash.bsky.social day 1 post. Perfect inspiration. [contains quote post or other embedded content]

2025-03-04T01:52:18.860Z

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Wasn't sure what do post for day 3 of #MathArtChallenge #MathArtMarch -Nature- until I saw @baabbbaash.bsky.social day 1 post. Perfect inspiration. [contains quote post or other embedded content]

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Aylian @ayliean.bsky.social suggested that we have a #MathArtChallenge in March, and the prompt for March 1 is “Circle.” So here’s a hyperbolic string art spider made out of 90 points on a circle and 220 chords/circular arcs. The drawing is connected, and each point has even degree.

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Day 3, #mathartmarch
Prompt: Nature
Nothing says “Nature Math” like the #Fibonacci series. Here are some of my pieces featuring just that. Orthoceras fossil, opalized ammonite fossil, and Guildfordia yoka shell, respectively, with various stones and epoxy clay, all #electroformed in #copper. #sciart

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#MathArtMarch for 3/4/25 (nice numbers btw!) “swirly” ... that made me think of my rotini earrings. (pasta ftw!)
Each model swirls to replicate a different mathematical function. From left to right: |x| (x+sin(x)) sawtooth, x^2, x^3, e^x They’re so fun! hdsn.us/rotini #MathSky #mathjewelry

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Katherine Seaton

mathskath.bsky.social

did:plc:64r4gb2rh6gzja3xu63kk6pn

#MathArtMarch Day 4 already, here down under. The prompt today is Swirly, and I give you more spirograph

2025-03-04T03:27:07.357Z

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MathArtMarch Day 4 already, here down under. The prompt today is Swirly, and I give you more spirograph

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#MathArtMarch Days 3 and 4: Nature and Swirly Nature: a Pythagorean tree superimposed on a photo of me and my kids at the beautiful tree that used to be at Sycamore Gap, on Hadrian’s Wall. Swirly: another picture made by drawing circles through points on a parametric curve, this time a spiral.

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#MathArtMarch Day 4 (Swirl) Made completely with #PowerPoint #mathart #geometry

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For #SciArtSeptember prompt misty: my screenprint of clouds & ionization tracks in a cloud chamber. 🐡🧪🎢 #histsci A Wilson cloud chamber is basically a tank of condensed, supercooled water (or alcohol) vapour. It’s a heavy mist! It is used to detect high energy particles - ionizing radiation. 🧵1/n

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This is a heavily interactive web application, and JavaScript is required. Simple HTML interfaces are possible, but that is not what this is. Learn more about Bluesky at bsky.social and atproto.com.

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Post by @zanedobler.bsky.social — Bluesky

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It’s #mathartmarch and the prompt is SWIRLY. My Symbiosis series is full of organically swirly weirdness 😀 seashells, glass, glass doll eyes, epoxy clay, electroformed in copper. #sciart #sculpture #contemporarysculpture #art #bskyart

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Post by @fullywoven.bsky.social — Bluesky

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Ayliean MacDonald’s #MathArtMarch Day 4: Swirly A 55x55 boustrophedonic open knight’s tour. Slava Ukraini!

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Day 2, on a square grid. Bismuth puzzle of course! The puzzle cut follows a quad dominant grid which conforms the the puzzle shape. Each one is one of a kind. https://n-e-r-v-o-u-s.com/shop/generativeProduct.php?code=411 #MathArtMarch

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Day 3, nature. Too many to choose from, but I’ve got to go with the Agate puzzle. Banded forms grow from noisy offsets inspired by geode crystals. The puzzle cuts are grown in a simulation of elastic rods. Each has a different shape, image, and cut. https://n-e-r-v-o-u-s.com/shop/generativeProduct.php?code=339 #MathArtMarch

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Math art challenge #MathArtMarch by @ayliean.bsky.social day 4: Swirly. Another busy day (N has a week off school), another past project. And why stick to drawing only? The mane of this crochet unicorn is made by means of hyperbolic crochet. I made it for a friend of N’s a few years ago.

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I like these “swirly” representations of multiples, factors and primes. The second one is incomplete.
#MathArtMarch

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I love that today’s #MathArtMarch is Swirly. Here’s one of my hand marbled papers, which shows a super tricky design , dubbed the Galen after creator Galen Berry. I think that it could be classified as a glide reflection design. Certainly not perfect but it’s got the structure? thoughts?

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Swirly Math Art March: Day 4 Swirly Some messed up archimedean spirals. and the variations…

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#MathArtMarch 5th #Discovery I discovered that polynomials are nothing more than building instructions for n-dimensional cuboids. This makes #Calculus possible WITHOUT EPSILON!!!
The LEGO cuboid represents
f(x)=x³blue+3x²red-x²white-1*3x
=x³+2x²-3x
=a1x³+a2x²-a3x
x-value inflection point=-a2/na1 n=3 [contains quote post or other embedded content]

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Day 5 of #MathArtMarch is discovery. What do you get when you build a 3D analog of the Koch snowflake? Start with a tetrahedron and add smaller and smaller tetrahedra to the boundary. Keep going and you get ... a CUBE?!?!? 🧊🧊 Koch Tetrahedron: hdsn.us/ME234
Read more: hdsn.us/read 🧮 #mathjewelry

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#MathArtMarch day 4, swirly rainbow road made in Tile Farm Studio. This was made coloring a 42 sided polygon then zooming in and cropping. #math #mathArt #tilefarm