Einstein Hat Awards (entries 269-242)
Thank you to our sponsors, XTX Markets, UK Maths Trust, National Museum of Mathematics (MoMath.org), Amplify, G-Research, Jane Street and Dexter and Deborah Senft.
Contributors - Geoff Smith, Simon Coyle, Samuel Monnier, Dianne Flatt, Cindy Lawrence, Chaim Goodman-Strauss, Guillermo Acevedo, Kit Reagan, Hayley Richardson, Philipp Legner, Craig Kaplan, Robert Fathauer, Yoshiaki Araki, Dexter Senft, David Smith and Ewart Shaw.
269 Sebastien Bacle 42 USA
This "hat shirt" is a button-up French-cuffed shirt made from a fabric with an image of a Hat tessellation on it. I made the image using Mathigon's Polypad (https://mathigon.org/polypad). To print out the fabric I used Spoonflower (https://www.spoonflower.com/). My fabric design is still up and should be available for anyone to use (https://www.spoonflower.com/designs/15151769-aperiodic-monotile-3-by-porterb1066). I sewed the shirt based on an old McCalls shirt pattern we've had for decades.
In the process of making this shirt I had some thoughts and ideas about the new aperiodic monotile. When I first designed the fabric, I assumed I would not be able to have the pattern match up at the button holes since the tile has been proven to be aperiodic. I erroneously assumed that if the tessellation could wrap all the way round the shirt that that would make it periodic. But then I realized that the tile is only aperiodic for the purposes of tiling an infinite plane, and that it could in theory be possible to create a repeating pattern of finite width.
The body of the shirt is topologically equivalent to a punctured cylinder (with two holes for the arms), a completely different shape from the plane. It's actually quite trivial to show that you can create a shape topologically equivalent to a cylinder from a one-tile thick set of hats (Just have one stacked on top of another for as long as you wish, then join the top of the uppermost hat to the bottom of the lowest one.) I've also found a couple of two-tile wide cylinders and I think I have a sketch of a proof that you can create a cylinder of any fixed thickness but as an armature mathematician I'm not confident that my proof works. I'm very curious now as to what other compact manifolds and manifolds with boundary you could possibly tile with the new hat tile. I'm hoping to find a wider tiling of the cylinder that allows me to make a second shirt where the pattern wraps all the way around and matches up at the button holes. It would be really interesting to see if it would be possible to have the pattern continuously flow o to the arms as well, though it would be well beyond my sewing skills to make that happen!
Thank you so much for running this contest! It was super interesting to work with this new shape in a creative context and it got me thinking about the shape in new ways!
268 Wei Fu 51 China
Inspired by the mono-tile this year, I made a puzzle in puzzle of Chinese Map with the mono-tile of turtle and finger gyroscope, many of which can together tile one Chinese map and more Chinese maps can tile the plane (Chinese Map Puzzle in Puzzle).
Moreover, I have made other puzzles with these two units (one example shown below ). Tiles or tiling is in close connection with puzzles which can bring much fun for puzzle funs. I love the turtle monotile, I love origami and math, I love China.
267 Matthew Chang 17 USA
The image I submitted is a screenshot of an interactive Desmos demo. The tiles are movable and interactive in the link below:
https://www.desmos.com/calculator/zxatn4wbky
266 Julie Alvarez 44 USA
Math is beautifully described in poetry written around and inside the einstein hat shape.
Here is the poem:
Thirteen sides, and
known worldwide.
Called an einstein,
it looks so very fine!
The spectre and hat,
imagine that!
No repeat,
an amazing feat!
The message is clear,
PERSEVERE.
It happened in math,
So too your path.
265 Gregorio Alvarez 44 USA
I baked this pumpkin bread in honor of the Einstein Hat phenomenon. It was such a sweet discovery that I wanted to commemorate this special event by placing the famous shape on the bread with powdered sugar. Let's honor this discovery with a slice of delicious pumpkin bread!
264 Olivia Alvarez 10 USA
This is the Einstein Hat shape filled with mini Einstein Hats and Spectres with math problems and two smaller Spectre shapes with math symbols.
263 Gregorio J Alvarez 13 USA
This Einstein Hat shape is made out of all different kinds of candy to celebrate this "sweet" discovery!
262 Harriet Dexter 16 UK
To celebrate the discovery of the Hat and Spectre tiles, I designed a (wait for it…) hat covered with the amazing, non-repeating ‘Einstein’ Shape! Notwithstanding the hours spent cutting and sticking and drawing the irregular 13-sided polygon, I think my hat perfectly “highlights the connections between mathematics, art, design” because each subject area was so necessary in its creation: everything from calculating the exact surface area of paper I needed using πr^2, to researching M.C. Escher’s 1938 ‘Two Birds’, the tessellating blue and white birds within which inspired my hat’s colour scheme, and is a prime example of the important and obvious connection between maths and art. While the photos might not do it credit, I certainly spent ages assembling the hat from scratch – sticking the tiles together, creating the structure from recycled cardboard – and I hope you can see all the effort I put into it.
261 Gianna Luciano 10 USA
I created a doll house using cardboard boxes and household items and school supplies. The walls, furniture, and skateboard rink all were designed using the Einstein mad hat shape tiles to cover them.
260 Sayed Abubakar Ashna 12 UK
Firstly I draw the lion king carefully.
Secondly I put the drawing paper on the table and cut it out into pieces like a puzzle.
And finally I posted on satchel one.
Thanks to Mrs Lucas for helping me and also being supportive.
259 Pierre Broca 32 FRA
I make paper art, often with volumes repeated on a canvas. This is my take on the hats and shirts tiling, black on black, with gold for the symmetrical hats.
It's paper and paint on paper, 30x40 cm (say A3)
258 Aravinda Pillalamarri 54 USA
I have made dosas in the shape of the Einstein Mad Hat and tessellated them.
A dosa is a South Indian bean-based pancake. The batter is usually made of minapappu (black gram) and rice. I made this batter using minapappu, oodalu (barnyard millet) and brown rice.
257 Ariana Stasi Martinez 11 UK
I designed a template using the Mathigon Polypad environment and printed it. I then used individual pieces called Plus Plus and connected them together to try and match the shape of the template. This was difficult because of the shapes of the Plus Plus! I wanted to make it big enough to use as a coaster for my dad's coffee.
256 Andrew Blauner 59 NY
This is Smiles.
255 Ryan Rosales 27 Philippines
"INFINIT EINSTEIN TILE MACHINE."
🎁The gift to the world🌎
Good day everyone! I am thrilled to share with you my art piece for the EinsTein Mad Hat Art Contest, I want to express my deep appreciation to the four individuals who played a significant role in the creation of this revolutionary discovery - Sir David smith, Sir Craig, Sir Chaim Goodman-strauss, and sir Joseph. Together, they analyzed and studied the concept of the infinite plane with patterns that never repeat, aptly named EinsTein.
"The Inspiration"
When you look at my art, you will see that I have put a lot of thought into it, incorporating meaningful elements to express my ideas. One central character in my piece is a chibi version of the great Dr. Einstein himself. I depict him in a fun and cute way, showcasing his work for Einstein Tile Productions. The EinsTein tile, "The Rock" represented as a "big machine," symbolizes the ability of machines to produce an infinite number of things, much like the Einstein tile's infinite plane with patterns that never repeat. As we can see i make the floor as Einstein monotile pattern to promote it's beauty for tiling houses or bathroom floor or walls.
"The Infinite Production"
The machine in my artwork continuously produces the EinsTein tile in endless numbers. Its second stage involves adding different art designs and colors, making each tile unique. Finally, the completed tiles are automatically placed inside gift boxes. A robot, symbolizing the future, assists in the process, while a vacuum helps move the gift boxes to storage and facilitates worldwide delivery, especially during holiday seasons and Thanksgiving.
"Promoting World Peace and Sustainable Energy"
Inside the machine, you will notice a "world peace" sign. This symbolizes my desire to promote harmony and unity among nations. Additionally, the machine's main source of energy comes from the sun, showcasing the importance of utilizing natural resources to sustain our planet.
"Facial Expressions and Meaning"
The astonished and amazed facial expressions of the characters (Sir David, Craig, Chaim) in my artwork reflect the tremendous possibilities that exist and are waiting to be discovered. This extends not only to the groundbreaking work of Sir David, Sir Craig, Sir Chaim and Sir Joseph but also to the brilliant scientists, mathematicians, and experts who continuously push the boundaries of knowledge. Their contributions are essential in unraveling the mysteries of our world.
"Expressing Gratitude"
To show my gratitude, I have included the XTX logo as one of the sponsors of this event, alongside MoMath and UK Math Trust. Their support made the realization of this artwork and contest possible. I am truly thankful for their contribution to the art community.
I have a small tree planting initiative called @NounsCare on twitter X my twitter account is @BiboyArts,
I use the fund from my small income as digital artist and I spend it for my goal to plant more trees to help sustain the ecosystem.
I hope you enjoy the outcome of my art piece. It was created with passion and sincerity, as it represents one of my biggest dreams – to travel to the United Kingdom, a land of beautiful people and stunning places. I hope to witness the grandeur of the king's palace, marvel at the incredible architectural structures, and meet new friends filled with passion and creativity. ❤️🙏 my message to sir Chaim, David, Craig joseph and the team behind this great event i wanna meet you fam personally soon! May this art is the key for that to happen ❤️ this artwork will also help me to plant even more trees.
254 Maggie Howe 66 UK
80cm x 80 cm mixed media (graphite, metallic dust and acrylic on canvas.
Title 'Einstein cascade'
252 Stella Gresko 13 USA
I made a mandala incorporating the Einstein Hat tessellation.
251 Penney Navilitloha 12 UK
I drew a part of the picture of the 'Einstein' Hat tessellation and did some research on the pattern and how it is formed. Thank you.
My painterly approach to the aperiodic tessellation is concerned with the notion of divergence from pattern in an infinite system of a singular shape. Initially choosing a mathematically accurate segment to describe, I allow for expressive variations to deconstruct and reconstruct through a visual language of color, texture, shape, line, and layering. This piece plays with defining and deconstructing the shapes relationship to itself and asks what it may become in its infinite journey of changeability. The expression looses and regains definition as it morphs into a different shape entirely, remaining an aperiodic shape however shifted unexpectedly.
247 Kathryn Cramer 61 USA
I have reimagined the Einstein Hat tile as a network rather than an Escheresque physical tile. As such, it is a typology of complex network which can then at a larger scale be organized into other layers of complex networks.
Here I have focused on the tile's potential in he decorative arts. It seem to me that most of the attention to this tessellation has been focused on domesticating it into the way that the tilings MC Escher explored were associated with animals and domestic themes. I have taken a different approach.
Instead, I have viewed the mono tile as a network, and the tile itself as an entity one of whose key retires is its rotation. I have viewed the crystallographic expansion of an Einstein Hat tessellation network not as an inevitability, but as a possibility.
The tessellation itself aspires to cover the plain; that is the mathematical claim. I have, as it were, taken them automated interest in such topics as farm's water usage as an indicator of social distress. As the exclusion process id welcoming, mostly useful pages in NY are padded.
1) I have added connector holes at each vertex to allow for jewellery-style linkage between parts. (2023)
2) I have added a 950s fringe for help getting started.
245 Wendy Metzger 62 USA
My submission is a hat aperiodic monotile cookie cutter. You can make cookies without wasting any cookie dough!
244 Nicholas Sallas 26 Canada
An architectural proposal for the use of the monotile as a basis for design.
243 Alex Hatch 31 USA
This 3D printer is designed to take advantage of the aesthetics and structural properties of the 'Spectre' shape. At the bottom of the printer, a lattice of open cells comprised of the pattern help to distribute the weight of the printer evenly. supporting the entirety of the machine to enhance vibrational performance is being investigated. The tiling of the shape is aperiodic in translation; the varying lengths of spokes in the lattice yielding a resonance dampening effect. These Spectre cells are open, and at the side panels partially to allow for airflow to pass over the electronics of the machine, while protecting the electronics and wiring from intrusion. on the front near the bottom of the machine, the controls portion is partially filled to protect the screen and electronics. To the right of the dial the outline of a Spectre is cut out, and the thin attachment allows the Spectre shape to act as a button.
The printer was built explicitly for this contest, and the aim is to contribute the files to the open source community to have more fun with the Spectre after this contest commences. The 3D printing world has benefitted greatly from applied mathematics, as well as it is a great ambassador to curiosity and growth.
Parts were made using 3D Printing of high temperature tolerant ASA filament in 6 shades of blue. As an artist the color blue guides all my work, and encompasses all elements of my life. 3D design and printing has shaped my 10+ year career as a designer and inventor, and sharing what I know with others is a passion.
242 Anduriel Widmark 36 USA
The image reveals a unique fusion of art and nature: a diamond meticulously crafted based on a tessellating hat tile concept. This avant-garde design, inspired by the monolithic tile pattern, introduces a fresh perspective to gem cutting patterns. Its sharp, geometric facets embody the precision of modern artistry while retaining the innate brilliance of diamond shimmer. Against a contrasting background, its luster is accentuated, illustrating a harmonious blend of tradition and innovation. This gem is not just a statement piece but a testament to the evolving realms of mathematics, design and luxury.
