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David A. Reimann @drmathart.bsky.social · 03/08/2026

Excited to have my art Normality included in the Bridges 2026 Exhibition of Mathematical Art, Craft, and Design, held this week in Galway, Ireland. #MathArt #blackleather #studdedleather

Metal spikes (5 cm in length) are approximately normal to the spherical interior core made black leather straps, all having rotational icosahedral (532) symmetry.

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David A. Reimann @drmathart.bsky.social · 03/08/2026

Excited to have my art Topological Trio included in the Bridges 2026 Exhibition of Mathematical Art, Craft, and Design, held this week in Galway, Ireland. My related paper is also part of the program. #MathArt #LEGO

These three LEGO designs celebrate several topological structures. A model of Borromean rings is constructed in red, green, and blue; the brick dimensions offer just enough tolerance to feel the rings are separate. An orderly tangle of six squares is constructed from six layered squares made of white and tan plates. A double layered cube based on a design by Rinus Roelofs is constructed from three layers of plates.

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David A. Reimann @drmathart.bsky.social · 25/01/2026

Had a great time at the Manifest Gallery for the opening of the current exhibitions, which include my piece Braces of Eight. Check it out if you are in the Cincinnati area! The show runs until February 20.

My name tag and Manifest button atop the exhibition postcard.

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David A. Reimann @drmathart.bsky.social · 03/01/2026

The number 2026 depicted as a collection of 2026 circles, part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. #HappyNewYear2026 #HappyNewYear #mathart #unitchat #20262026 white circles

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David A. Reimann @drmathart.bsky.social · 22/04/2025

My piece Spaceship Earth. Thinking about the only home we will ever know on this Earth Day. drmathart.com/Artwork/Spac... #MathArt #EarthDay

The title is from the same phrase popularized in the 1960s by R. Buckminster "Bucky" Fuller. Fuller also popularized the geodesic dome, which has a related construction. This work is based on the 2,1-Goldberg polyhedron where the edges have been replaced with rhombic pieces of colored corrugated plastic. This piece is an abstract model of the Earth make from 210 pieces: 60 green pieces and 150 blue pieces. About 71% of the pieces are blue, which is about the same percentage of the Earth's surface covered by water. We are individuals, yet travel through space together, inhabitants on and caretakers of the same tiny planet we call Earth.

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David A. Reimann @drmathart.bsky.social · 08/04/2025

#MathArtMarch Day 8: Pentagon (final post!) Here are 51 pentagons in a centered pentagonal pattern. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. drmathart.com/Artwork/N000... #MathArt

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David A. Reimann @drmathart.bsky.social · 07/04/2025

#MathArtMarch Day 7: How Many? How many small white circles do you see? Clever counting should reveal a fun answer. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. drmathart.com/Artwork/N000... #MathArt

A pattern of circles. How many do you see? Clever counting should reveal a fun answer.

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David A. Reimann @drmathart.bsky.social · 06/04/2025

#MathArtMarch Day 6: Single Line One single line (in a general sense) that draws 2025. #MathArt A repost from #genuary2025.

One single line (in a general sense) that draws 2025. Each row has a sine curve that varies in amplitude and frequency to distinguish between foreground and background.

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David A. Reimann @drmathart.bsky.social · 05/04/2025

#MathArtMarch Day 5: Discovery Julia is the Solution This work pays homage to Julia Robinson (1919–1985). Her work was a critical component in discovering a proof (negatively) of Hilbert's tenth problem. #MathArt

The image, based on a photograph, is made from 1919 stippled X's. The size, crossing angle, and arm dimensions of each X is related to the original photo’s brightness and local gradient. The use of the X symbol celebrates her work on Hilbert's tenth problem and the common use of the X symbol for an unknown variable.

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David A. Reimann @drmathart.bsky.social · 04/04/2025

#MathArtMarch Day 4: Swirly Here are 89 circles on a phyllotactic spiral. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. drmathart.com/Artwork/N000... #MathArt

Here are 89 circles on a phyllotactic spiral. A nod to 89 being a Fibonacci number and the connection between many plant structures and Fibonacci numbers.

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David A. Reimann @drmathart.bsky.social · 03/04/2025

#MathArtMarch Day 3: Nature Swirling Snowflakes It wasn't until the early 1900s that scientists began to understand the nature of frozen water crystals that leads to their beautiful structure. #MathArt

A flurry of snowflakes swirl in this homage to winter. Each snowflake is created using a random process and are packed within the image using a bespoke packing algorithm so that no snowflake intersects another.

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David A. Reimann @drmathart.bsky.social · 02/04/2025

#MathArtMarch Day 2: On a Square Grid Here are 41 superellipses on a rotated square grid. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. drmathart.com/Artwork/N000... #MathArt

41 superellipses on a rotated square grid. Because 41 is a prime that is one more than multiple of 4 (congruent to 1 mod 4), it can be represented as a sum of two squares. In this case, 41 = 4*4 + 5*5.

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David A. Reimann @drmathart.bsky.social · 01/04/2025

#MathArtMarch Day 1: Circle Here are 190 ellipses in a circular pattern. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. drmathart.com/Artwork/N000... #MathArt

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David A. Reimann @drmathart.bsky.social · 30/03/2025

#MathArtMarch Day 30: Game Take a number n, square the digits, add to get a new number, repeat. If the sequence ever reaches 1, the n is a happy number (green); otherwise (blue) it ends up in the 4, 16, 37, 58, 89, 145, 42, 20 cycle (red). It's a fun little arithmetic game to play. #MathArt

Happy numbers are in green and other numbers are in blue. The 4, 16, 37, 58, 89, 145, 42, 20 cycle is show in red.

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David A. Reimann @drmathart.bsky.social · 29/03/2025

#MathArtMarch Day 29: Unsolved The Collatz sequence starting at 871 (in binary), visualized as an Arctic island. Let f(n)=n/2, when n is even f(n)=3n+1, when n is odd. It remains unknown whether repeating this process will eventually lead to the value 1 (it takes 178 steps for 871). #MathArt

A rendering of the Collatz sequence starting at 871 (in binary), visualized as an Arctic island. For the starting number 871, the sequence progresses as follows: 871, 2614, 1307, 3922, ..., eventually reaching 4, 2, and then 1 after 178 steps.

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David A. Reimann @drmathart.bsky.social · 28/03/2025

#MathArtMarch Day 28: Quadrilateral Spaceship Earth An abstract model of the Earth made from 210 quadrilateral pieces: 60 green and 150 blue, which is about the same ratio of the Earth's surface covered by water. #MathArt drmathart.com/Artwork/Spac...

The title "Spaceship Earth" is from the same phrase popularized in the 1960s by R. Buckminster "Bucky" Fuller. Fuller also popularized the geodesic dome, which has a related construction. This piece is an abstract model of the Earth make from 210 pieces: 60 green pieces and 150 blue pieces. About 71% of the pieces are blue, which is about the same percentage of the Earth's surface covered by water. We are individuals, yet travel through space together, inhabitants on and caretakers of the same tiny planet we call Earth.

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David A. Reimann @drmathart.bsky.social · 27/03/2025

#MathArtMarch Day 27: Tangled Tangled and Embrangled Hair Day (V2) #MathArt

Four people on the sides of a square looking at their tangled hair that has become embrangled with the others' hair into a Truchet/Smith tiling.

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David A. Reimann @drmathart.bsky.social · 27/03/2025

#MathArtMarch Day 27: Tangled Tangled and Embrangled Hair Day #MathArt

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David A. Reimann @drmathart.bsky.social · 26/03/2025

#MathArtMarch Day 26: Choice A flowchart for creating mathematical art. Choose an idea that is arty, mathy, and achievable. Reflect and brainstorm as needed. Choose to repeat until the art is effective. Coffee might help. #MathArt

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David A. Reimann @drmathart.bsky.social · 25/03/2025

#MathArtMarch Day 25: Chaos Increased horizontal shearing devolves to chaos.

Increasing amounts of horizontal shearing of the word chaos.

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David A. Reimann @drmathart.bsky.social · 24/03/2025

#MathArtMarch Day 24: Equal A Pride of Hearts 11x13=143 equal hearts in swirling spiral pattern in 11 colors. The association between the phrase "I love you" and 143 was popularized by Mister (Fred) Rogers, based the word lengths of the phrase, on his television show. #MathArt

Everyone, regardless of gender, has inherent dignity and the right to life, liberty, and the pursuit of happiness. We are a better society when everyone has pride in themselves. We are a better society when everyone is able to have pride in who and how they love. We are a better society when everyone works together to uplift and affirm the rights and dignity of others.

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David A. Reimann @drmathart.bsky.social · 23/03/2025

#MathArtMarch Day 23: Together My proceedings cover art design for the 2024 Bridges conference Bridges is the largest annual conference that brings together people with interests in mathematics and art. www.bridgesmathart.org has papers and art from past and upcoming conferences. #MathArt

Bridges 2025 Conference Proceedings cover art showing images from the conference's art exhibitions in circles.

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David A. Reimann @drmathart.bsky.social · 21/03/2025

#MathArtMarch Day 21: Font Square Root of Two. This artwork depicts the digit "2" with a root system filling a square, reminiscent of botanical illustrations. One of the pieces I submitted to the upcoming Bridges conference art exhibition. #MathArt

This artwork depicts the digit "2" with a root system filling a square, reminiscent of botanical illustrations. The digits of the square root of two (1.414213...) are subtly formed in the negative space along the diagonal of the square, conveying the relationship between a unit square and the length of its diagonal.

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David A. Reimann @drmathart.bsky.social · 20/03/2025

#MathArtMarch Day 20: Repetition The binary representation of 2^n-1 is a repetition of n 1s. It is a Mersenne prime if 2^n-1 is prime (shown in white); n must also be prime. Other composites with prime lengths are light gray and composite lengths are dark gray. #MathArt

binary representations of positive integers one less than a power of 2 are a repetition of n ones. Primes are in white are called Mersenne primes.

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David A. Reimann @drmathart.bsky.social · 19/03/2025

#MathArtMarch Day 19: Forty-Two Here are 42 ellipses in a flower of life pattern. Part of an ongoing series of artworks expressing the positive integers as a geometric arrangement of identical simple visual elements. drmathart.com/Artwork/N000... #MathArt

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David A. Reimann @drmathart.bsky.social · 18/03/2025

#MathArtMarch Day 18: Chance Possible outcomes when rolling 1, 2, and 3 dice. Approaches a normal distribution as the number of dice increases (by the central limit theorem). The column groupings correspond to a particular sum - there are 27 ways to roll a 10 with 3 dice.

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David A. Reimann @drmathart.bsky.social · 17/03/2025

#MathArtMarch Day 17: Symmetry 12 neolithic carved stone balls from Scotland (3200-2500 BCE) at the Hunterian Museum in Glasgow (2013). There are 400+ known to exist, but their purpose remains a mystery. My theory is they are early examples of mathematical art. Many have *432 symmetry. #MathArt

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David A. Reimann @drmathart.bsky.social · 16/03/2025

#MathArtMarch Day 16: Connected Borromean rings in #LEGO. Borromean rings have the Brunnian property where removing one ring causes the entire structure to become disconnected.

Three interconnected rings (red, green, blue) of 2x4 lego bricks interconnected to form Borromean rings.

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David A. Reimann @drmathart.bsky.social · 16/03/2025

And the next 4 smaller levels. The smallest detail is beyond the image resolution.

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David A. Reimann @drmathart.bsky.social · 16/03/2025

Thanks for pointing out this issue. I think you meant flip the rectangle, rather than rotate, otherwise the orientations are unchanged. Here is the real pinwheel (subject to peer review). It definitely has a different feel.

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David A. Reimann @drmathart.bsky.social · 15/03/2025

#MathArtMarch Day 15: Triangle Triangles in the recursive pinwheel tiling at four levels. All triangles have side length ratios of 2:1:sqrt(5) and scale by sqrt(5) between levels. #MathArt

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David A. Reimann @drmathart.bsky.social · 14/03/2025

#MathArtMarch Day 14: Irrational Happy Pi Day! The first 100 digits of pi with each digit represented as a pie chart. #MathArt

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David A. Reimann @drmathart.bsky.social · 13/03/2025

#MathArtMarch Day 13: Zero The Sphere by artist Fritz Koenig (1924-2017) is a 25 ft bronze sculpture that stood between the twin towers as a symbol of world peace through trade. It was badly damaged in the collapse of the twin towers on 9/11. In 2016 was relocated in Liberty Park, near ground zero.

A person gazes at Fritz Koenig's sulpture in Liberty Park, NYC, near ground zero. The new trade center building is in the background.

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David A. Reimann @drmathart.bsky.social · 12/03/2025

Thanks to Seattle's KING-5 news for its coverage of the "Intersections: Math, Art, Truth, Humanity" exhibition of mathematical art organized by the Seattle Universal Math Museum. The video features my piece "Mathematics is Universal" at about the 0:45 second mark. www.king5.com/article/ente...

detail of my piece Mathematics is Universal.

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David A. Reimann @drmathart.bsky.social · 12/03/2025

#MathArtMarch Day 12: On an Iso Grid A cube of 8 cubes at the corner of a cube of 8 cubes, at the corner of a cube of 8 cubes, at the corner of a cube of 8 cubes, at the corner of a cube of 8 cubes, at the corner of a cube of 8 cubes. #MathArt

A cube of 8 cubes with the facing corner recursively divided in 8 cubes.

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David A. Reimann @drmathart.bsky.social · 11/03/2025

#MathArtMarch Day 11: Proof A visual proof that the sum of the first n positive odd integers is n*n, attributed to Nicomachus of Gerasa (c. 100 CE) in Roger B. Nelson's book "Proof Without Words." #MathArt

Colored dots arranged in L shapes having the numbers 1, 3, 5, ..., 11 arranged into an 11x11 square.

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David A. Reimann @drmathart.bsky.social · 10/03/2025

Here are three images showing this process. I used cubic Bezier curves for the final tree. The thickness corresponds to the number of descendant nodes feeding into a given node.

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David A. Reimann @drmathart.bsky.social · 10/03/2025

Here's a custom one for you to celebrate you inspiring others to create mathematical art in March!

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David A. Reimann @drmathart.bsky.social · 02/03/2025

Excited to have my piece "Mathematics is Universal" at the art exhibition "Intersections: Math, Art, Truth, + Humanity" which runs through April. The exhibition was organized by the Seattle Universal Math Museum and the Mercer Island Visual Arts League seattlemathmuseum.org/intersections. #mathart

The word "mathematics" written in thirty different languages on the edges of a dodecahedral form.

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David A. Reimann @drmathart.bsky.social · 28/01/2025

Today is #internationallegoday. Here are Cayley tables in #LEGO for the five groups of order 8. The columns and rows are unlabeled, with red corresponding to the identity element. Can you identify each group?

Cayley tables in #LEGO for the five groups of order 8. The columns and rows are unlabeled, with red corresponding to the identity element.

Discussion questions included on the lower right.

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