David A. Reimann
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drmathart.bsky.social
David A. Reimann
@drmathart.bsky.social
280 followers 120 following 100 posts
Mathematical artist making the abstract visible;
mathematics and computer science professor.
http://drMathArt.com
#mathart #mathsart #generativeart #creativecoding
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drmathart.bsky.social
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.
April 22, 2025 at 3:31 PM
drmathart.bsky.social
#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
Here are 51 pentagons in a centered pentagonal pattern.
April 8, 2025 at 4:10 AM
drmathart.bsky.social
#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.
April 7, 2025 at 5:34 AM
drmathart.bsky.social
#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.
April 6, 2025 at 4:16 AM
drmathart.bsky.social
#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.
April 5, 2025 at 4:22 AM
drmathart.bsky.social
#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.
April 4, 2025 at 5:11 AM
drmathart.bsky.social
#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.
April 3, 2025 at 4:33 AM
drmathart.bsky.social
#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.
April 2, 2025 at 11:30 AM
drmathart.bsky.social
#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
190 ellipses in a circular pattern.
April 1, 2025 at 4:28 AM
drmathart.bsky.social
#MathArtMarch Day 31: Change
One way to change MATH to ART.
#MathArt
The word MATH is transformed into the word ART along a meandering path from the top left to bottom right.
March 31, 2025 at 4:05 AM
drmathart.bsky.social
#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.
March 30, 2025 at 4:26 AM
drmathart.bsky.social
#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.
March 29, 2025 at 4:17 AM
drmathart.bsky.social
#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.
March 28, 2025 at 4:21 AM
drmathart.bsky.social
#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.
March 27, 2025 at 2:48 PM
drmathart.bsky.social
#MathArtMarch Day 27: Tangled
Tangled and Embrangled Hair Day
#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.
March 27, 2025 at 4:16 AM
drmathart.bsky.social
#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
A flowchart for creating mathematical art.
March 26, 2025 at 4:15 AM
drmathart.bsky.social
#MathArtMarch Day 25: Chaos
Increased horizontal shearing devolves to chaos.
Increasing amounts of horizontal shearing of the word chaos.
March 25, 2025 at 4:47 AM
drmathart.bsky.social
#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.
March 24, 2025 at 4:43 AM
drmathart.bsky.social
#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.
March 23, 2025 at 4:43 AM
drmathart.bsky.social
#MathArtMarch Day 22: Hexagon
A diversity of hexagons.
#MathArt
March 22, 2025 at 4:28 AM
drmathart.bsky.social
#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.
March 21, 2025 at 4:29 AM
drmathart.bsky.social
#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.
March 20, 2025 at 4:46 AM
drmathart.bsky.social
#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
March 19, 2025 at 2:46 PM
drmathart.bsky.social
With 5 dice, scaled vertically.
March 18, 2025 at 4:03 AM
drmathart.bsky.social
With 4 dice, scaled vertically.
March 18, 2025 at 4:03 AM