About Us

Sobre Nosotros

Hypothesis is a NYC based gaming company that brings together artists, educators, mathematicians, scientists, software developers, and other visionaries and doers. Together, we create games that invite imaginative thinking about unsolved puzzles.

Hypothesis games are for people who aren’t afraid of a challenge. Playing our games is like entering a surrealist universe full of intellectual and philosophical questions. An important mission underlies our game design principles: to take information that has only been known to elite academic groups, and make it fun to explore for anyone who is curious. Because we are a small group of friends who come from a variety of different perspectives, we accomplish this more fluidly than is typically possible for rigid institutions.

We hope you have as much fun as we do!

Hypothesis es una empresa de juegos ubicada en New York. En esta empresa se reúnen artistas, científicos, desarrolladores de software, educadores, matemáticos, y otros visionarios y hacedores para crear juegos que animan la imaginación para pensar en rompecabezas no resueltas.

Los juegos de Hypothesis son para ellos que no tienen miedo de los retos. Jugar estos juegos es entrar en un universo surrealista lleno de preguntas intelectuales y filosóficas. Todos están diseñados con la misma meta importantísima: sacar información que antes sólo conocían grupos académicos de élite y presentarla de una manera divertida a todos los que tengan curiosidad por conocerla. Como un pequeño grupo de amigos con perspectivas muy distintas logramos nuestra meta con más fluidez que sea posible en las instituciones rígidas.

¡Esperamos que tengas tanta diversión como nosotros!


Some things folks have said about our director’s related work:

“Joe is able to see the world from the perspective of those with little to no mathematical comfort. He can break down the basics and present them in ways that struggling students can understand and use.”
— Alex Ott, Associate Dean, Bronx Community College

“It’s hard to make things like ... the fundamental theorem of algebra fun for a 14-year-old in the middle of his or her summer vacation, but Joe can and has. He is an exceptional educator and I cannot recommend him highly enough.”
— Joshu Fisher, Program Manager, Center for Talented Youth

“To say I enjoyed this program is an understatement. It was genuinely incredible. I feel like it taught me to think in a whole new and different way.”
— Caleb, student (11th grade) from Expedition given through Columbia University

“It’s definitely worth it. Even if you think you won’t be that interested the concepts might surprise you.”
— Student (9th grade) from Expedition given through BEAM

“We got to learn about concepts and ways of thinking that we wouldn’t learn anywhere else.”
— Yuki, student (8th grade) from Quinn’s Center for Talented Youth course


Algunas cosas que se han dicho del trabajo pertinente de nuestro director:

“Joe is able to see the world from the perspective of those with little to no mathematical comfort. He can break down the basics and present them in ways that struggling students can understand and use.”
— Alex Ott, Decano Asociado, Bronx Community College

“It’s hard to make things like ... the fundamental theorem of algebra fun for a 14-year-old in the middle of his or her summer vacation, but Joe can and has. He is an exceptional educator and I cannot recommend him highly enough.”
— Joshu Fisher, Administrador del Programa, Center for Talented Youth

“To say I enjoyed this program is an understatement. It was genuinely incredible. I feel like it taught me to think in a whole new and different way.”
— Caleb, estudiante (grado 11) de una Expedición lancado por Columbia University

“It’s definitely worth it. Even if you think you won’t be that interested the concepts might surprise you.”
— Estudiante (grado 9) de una Expedición lancado por BEAM

“We got to learn about concepts and ways of thinking that we wouldn’t learn anywhere else.”
— Yuki, estudiante (8th grade) de Quinn’s de un curso lancado por Center for Talented Youth

© 2020 Hypothesis LLC



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2021 May 23 — Aliens in the News


When I was a kid, my dad was a politician. We lived in a small town called Carmel in New York State where the most exciting attribute was a lake where you could go swimming. One day, my friend Tom saw a flying saucer over the lake, but I’ll come back to that topic in a bit.

My dad was a County Legislator on the Democratic Party line from 1985 to 1993. This means he was involved in writing and passing laws that required attention at the local level rather than state or federal, and generally supported government regulation of corporations. For example, how do you protect the lake from pollution amidst a growing population? These things weren’t very interesting to me as a kid; my point is that my family often had an inside scoop on local politics. What was interesting was when the local news reported on things my dad had already told me about. I would check the stories to see if they’d gotten them right and often, they hadn’t. Things I’d heard my dad say to reporters on the phone were misquoted. Details would be missing or just plain incorrect. Due to this, I was skeptical of any stories which I had no inside knowledge about — some more so than others. (To get a sense of what sources are reliable, I strongly advise familiarizing yourself with the common logical fallacies: arguments that can make it look like something has been proven when it really hasn’t. I suggest you look these up, practice noticing them, and take care not to use them yourself. If you’d like help with that, let me know!) As I got older, I came to understand how news reports twist facts to make things entertaining, or to cater to special interest groups. After all, if they can’t keep people watching then they can’t sell advertisements, and those advertisements are not always limited to the designated commercial breaks.

[Aside: I want to clearly disassociate what I’m saying here from Donald Trump’s manipulation of facts where he calls things “fake news”. A nice thing about being an LLC rather than a not-for-profit organization is that I’m free to take sides politically, thus it’s totally legal when I tell you: I think Donald Trump is a narcissist and a national embarrassment. Logical fallacy is his modus operandi. It’s unfortunate that fans of his such as the Q-Anon crowd have given a bad name to media skepticism and to the search for hidden truths.]

Now zoom out to news stories about things that involve the entire state, the entire country, the entire world... If a local newspaper can botch information about a lake that just a few thousand people care about, what happens when the information is far more complicated and involves billions of people? This takes us to our main topic:

How do we react when mainstream news sources like CNN, NBC, and CBS acknowledge the existence of UFO’s?
What about when the Pentagon does, too?

I’ve been following the UFO phenomenon for a long time, starting around the time my friend Tom told me he saw a flying saucer over Lake Carmel. I have a set of experiences, investigative data, and opinions about this, but I want to leave those aside for now. Let’s take the recent news reports as a starting point for thought on the topic, and let’s approach it like mathematicians (that is, logically and with an open imagination).

Fact: according to the news sources linked above, the Pentagon has confirmed the existence of aircraft capable of maneuvers that are not known to be possible for man made aircraft, and which they are unable to identify.

The Pentagon’s confirmation of this is not new. What is new is that it’s showing up in mainstream platforms. Here are some of the many questions that this raises, and some preliminary observations. Most basically, are the news sources telling the truth about what the Pentagon said? I say yes, since the news sources provide references that check out, and are not known to manufacture references. (To disagree at this level takes us into “fake news” territory, and I’d be curious to know why you’d suspect such a complete fabrication of information.) Next, is the Pentagon telling the truth that these aircraft exist and maneuver as described? For this, we have the testimony of the Air Force and Navy personnel included in the reports about protocol for verifying a flying object’s existence and trajectory. Some reporters speculate on the footage based on what it looks like to them, but this is a moot point. Of course special effects are capable of producing virtually any video image (including grainy low resolution ones) but what matters here is that people who are trained in interpreting the video and radar data, and who’s ability to do so is relied upon by our military, are saying that the objects are real. Thus, I take the answer here to be another yes. Then we ask, does the Pentagon know the observed maneuvers to be impossible for man made craft? That part is more difficult to answer because the military does manage confidential information, and the personnel interviewed may not have had clearance to know this. A statement from “the Pentagon” begs the question of who is responsible for the release, what level of clearance they have, and what level of classification the information is at. Looking into who is making the statements, with limited knowledge of these things, I find it hard to answer this question. Finally, are the ships of extraterrestrial origin? As tempting as it may be to jump to this question, we have very little to go on based on the information given in the references currently being discussed. Once we classify phenomena as “unidentified”, all that does is put it among the vast majority of phenomena, on Earth and otherwise.

Fact: according to the news sources linked above, the Pentagon’s intelligence committee has ordered the director of national intelligence and the secretary of defense to deliver a report on the sightings by next month (2021 June).

It’s possible that this report won’t resolve the ambiguities we already have. It’s possible the report will raise more questions than it will answer. What will be important is that we maintain our ability to think critically about the information presented to us. That means looking out for internal logical consistency and looking out for logical fallacies.

Another thing one might do is go hunting for information about UFO’s on the internet. There you can find people saying a wide variety of things and the challenge of thinking about it critically is far greater. Once you’ve become good at spotting logical fallacies, you might find you can cut through a lot of the nonsense, but I wouldn’t recommend this as a first exercise.

One perspective I’ve been especially interested in is that of Dr. Steven Greer of The Disclosure Project. I’m very interested in other people’s impressions about all of this, and about that project in particular. In the meantime, I continue working on some playful access points to theories in extraterrestrial life for our video game Gardens of Danu. Please don’t hesitate to respond to share your thoughts if you so desire.

2021 April 11 — The Shapes of the Numerals


Tracy‘s Response
Tracy‘s Response

In our last newsletter, I posed the following challenges:

  1. Why do you think the symbols 1, 2, 3, 4, 5, 6, 7, 8, 9 look the way they do?
  2. Invent your own symbols for ten and eleven that extend the pattern.

I received some great questions and answers about this. Tracy from Wingdale gave the following answer to challenge (B). Let X represent ten and let ∂ represent eleven (you’ll see why later). Her answer to (A) happens to be exactly my answer to (A), which makes me think we may be on to something! I see nothing like it anywhere online, so would love to see more investigation of this. I’ll come back to that answer at the end of this letter. Like last time, please feel free to respond to this email with any relevant questions, comments or ideas.

Recall, we were thinking about base twelve as an important innovation for early human civilizations. The idea is that base twelve makes it easier to count geological time (being close to the length of a lunar cycle), and that twelve makes it easier to do mental arithmetic (being divisible by a lot of smaller numbers). We noted that this was the system used by the Sumerians, who had a way of counting in base twelve on their hands, who built the earliest known human cities (c 4500 BCE) and who invented the earliest known written language (c 3400 BCE). I suggested that moving from base ten to twelve may have been the crucial leap forward that led to their impressive ability to communicate mathematics, and hence their technological advances.

Challenge B: new symbols for ten and eleven

We were interested in new symbols for ten and eleven so that we can write and do computations in base twelve. Some of you asked: why don’t we need a new symbol for twelve? Good question! The reason is basically the same as why we don’t have a symbol for ten in base ten. When we write 10, we think of it as “one ten and zero ones”. If instead we were working in base twelve, we’d have a twelves place instead of a tens place. For example, the numbers nine, ten, eleven, twelve would be written: 9, X, ∂, 10. For another example, 23 would mean “two twelves plus three ones”.

On a related note, why do we have the words eleven and twelve, rather than saying “oneteen” and “twoteen”, like how we write them? I bet that this is from a linguistic root in base twelve that was already deeply entrenched before literacy was widespread, and that this is related to how the numerals got their shapes.

It turns out there’s a whole organization devoted to switching back to base twelve, which I didn’t know about when writing the last newsletter, called The Dozenal Society. An interesting result I read from them is that some of the unusually long life spans of people described in the bible could be explained by accounting for alternative bases (and not always bases ten or twelve) that were preferred by the original writers. The Dozenal Society opted for an inverted 2 and 3 to represent eleven and twelve, respectively, but I didn’t see any literature from them on the topic of why the numbers look the way they do. I’m actually more interested in this question about the shapes’ origins than I am in advocating a global reform to base twelve. Before putting that topic aside, I’ll just suggest learning about alternative bases to build your flexibility with math, and to just be aware of the arbitrariness of base ten beyond counting fingers.

Challenge A: Why do 1, 2, 3, 4, 5, 6, 7, 8, 9 look the way they do?

To start us off, we have a great suggestion from Amertah in San Diego: take a cross-cultural approach. How were the numerals written by other cultures beforehand? Let’s take this all the way back — and the dawn of written language isn’t even close to the beginning. There’ve been tally marks found on bones dating back to 35,000 BCE! And even there, you find different techniques for organizing the marks. Moving up to more formal written language, one sees a lot of variation between the Sumerian, Egyptian, Chinese and Mayan systems. The origin for our current symbols is attributed to Indian mathematicians in the first few hundred years CE, where there was a lot of comparing of notational systems that came in from different sources and looking for common ground. Another piece of the puzzle, shared by Victoria from Brooklyn, is the role of printing and typesetting in stabilizing the hand drawn variations. She shared this great article and video from Radio France, which also debunks a fake interpretation of the numeral shapes:

It’s an interesting activity to look up records of how different people drew the numerals over time in different places. One notices certain common shapes that have no apparent relationship to the quantities they represent. So... why those shapes?

Tracy and I think it comes from sign language, particularly from the Sumerian hand-counting system. They would count to twelve on the right hand in the following way (you can also find pictures of this online). For 1, touch your thumb to the bottom segment of your pinky. For 2, touch your thumb to the next segment up. For 3, touch your thumb to the tip of your pinky. For 4, 5, 6, do the same thing on your ring finger. For 7, 8, 9, the same thing on your middle finger and for X, ∂, twelve, the same thing on your pointer finger. Now, as you do this, look at the shapes your fingers make. In particular, think about how you might orient your hand if you were showing the number to someone else. The similarities for 4, 5, 6, 7, and 9 are compelling. (Extending this to ten is a little awkward, so we opted for the recognizable X, but ∂ follows the pattern nicely.)

I remain curious about the symbol 8. When you look at cross-cultural records, it seems to be one of the more consistent ones, yet bears no obvious relationship to the quantity or to the hand symbol. I have other ideas about this but they are stranger. I’d love to hear from you about what you think!

Have fun. Keep thinking. Stay curious.

2021 February 22 — The Moon & Our Hands

Existe una discrepancia entre la astronomía terrestre y los métodos primitivos de recuento. Ese dato fue el primero de varios que me dieron el motivo para entrar en una teoría sobre los antiguos extraterrestres, cosa que no haré aquí, pero si desea hacerlo por su cuenta tiene mi bendición. Yo voy a guardar la mía para otra ocasión. (Revelación completa: quizás no tenga nada que ver con mis ideas del argumento para Los jardines de Danu).

Aquí me he ceñido a los hechos históricos, y he tratado de ser claro sobre dónde me pongo creativo, pero por favor, compruébelos de todos modos; aunque no haya nada más, pueden ser divertidos para investigar.

La astronomía terrestre, en su forma más básica, tiene que ver con contar el número de días en un ciclo lunar (o “lunación”), y el número de lunaciones en un año. En la historia de la humanidad es el método más fundamental para contar el tiempo. Actualmente el internet nos dice que la lunación media es un poco más de 29 y medio días y qué hay un poco menos de 12 y media lunaciones al año. Si se redondea a n&uoacute;meros enteros (lo que hacemos) y se compensa con alguna corrección de errores (por ejemplo, el año bisiesto), esto sigue siendo un poco incómodo para un animal que cuenta con sus 10 dedos.

¿Sabía que 5 dedos cada mano ha sigo el número estandardizado evolutivo antes de que la gente era Homo Sapiens? ¡¿Sabía que si vuelve a nuestros orígenes evolutivos todas las especies de nuestra ascendencia tenían 5 cosas parecidas a dedos por cada mano (o algo parecido a una mano)?! Sigue este fenómeno hasta el período Devónico, hace más de 300.000.000 años. Supongo que el pensar en la base 10 está profundamente arraigado en nuestra neurología. Sin embargo el tiempo de la Tierra tiene una preferencia distinta.

Quizás la capacidad de adaptar nuestros números al cielo esté directamente relacionada con la formación de la civilización. Si desea dominar su medioambiente tiene que ser capaz de predecirlo. (Cuándo serán más claras las noches? ¿Cuándo hará calor o frío? ¿Cuándo subirá la marea, etc.?) Además hay otro beneficio, quizás más coincidente, por contar en 12. Evita el tema menos favorito de todos en la escuela primaria: las fracciones. Se puede dividir 12 por 1, 2, 3 y 4 sin tener que aprender una notación para esos abominables números no enteros. Quizás eso sea suficiente para la vida cotidiana y quizás guardemos nuestros métodos de división más robustos para trabajos más complicados. Mientras tanto, el 12 es amigable, incluso para los niños pequeños hasta que construyan mejor su sentido numérico. Ahora pensemos en el numero 10. El número 10 — el bufón — ni siquiera se puede dividir por 3 sin toparse con una expansión decimal infinita. Tal vez la adaptación de nuestra preferencia biológica por la base 10 a las bases astronómicas 12 y 30 fuera la clave para que tenga éxito Homo Sapiens.

Los hallazgos arqueológicos apoyan esta teoría. La primera civilización estuvo en la región de Sumer, en Mesopotamia, hace unos 6.000 años. Los sumerios tenían tenían como sistemas de contar las bases 12 y 60. El uso de 60 permite aún más divisibilidad que 30. El 60 funciona para los ciclos lunares si contamos los días y las noches como eventos distintos. En adición la evidencia sugiere que tenían un método eficaz para contar de esta manera en las manos.

(¡Investigue esto!) Algo que encuentro especialmente llamativo es que su método utiliza el pulgar opuesto como herramienta para contar con la mano, quizás un precursor del uso de un instrumento de escritura sobre papel. Aumentar el uso del pulgar de esta manera tiene implicaciones profundas. Pasa que los, sumerios también desarrollaron la primera lengua escrita.

Bien, ¿y qué pasa actualmente? Casi todo ha vuelto a la base 10. Dejamos que los ordenadores se encarguen de la mayoría (tal vez a de nosotros nos echamos las manos a la cabeza cuando se trata de las fracciones. Parece que el compartir se ha vuelto problemático ¡hasta un nivel metafísico! Pero fíjese en esto: ¿Que hora es? ¡Qué tamaño tiene un ángulo en un triángulo rectangular? ¡Esos sistemas de la base 12 y la base 60 se remontan a los orígenes de la palabra escrita! Creo que vale la pena pensar en el “¿por qué?”.

Diviértase. Siga pensando. Manténgase curioso.

There is a discrepancy between Earthling astronomy and primitive counting methods. That was the first of several prompts to enter into an ancient aliens theory, which I will not be doing here, but if you wish to do so on your own, you have my blessing. I’ll save mine for another time. (Full disclosure, this doesn’t have nothing to do with my story ideas for Gardens of Danu.) Here, I’ve stuck to verifiable historical facts, and tried to be clear about where I’m getting creative, but please check me on them anyway — if nothing else, they’re fun things to look up.

Earthling astronomy at its most basic has to do with counting the number of days in a lunar cycle (or “lunation”), and the number of lunations in a year. That’s the most fundamental method of counting time in human history. Now, the internet tells us that the average lunation is a little over 29 and a half days, and that there are a little under 12 and a half lunations per year. If you round those off to whole numbers (which we do), and compensate with some error correction (e.g., leap year), this is still a tad inconvenient for an animal that counts on its 10 fingers.

Did you know that 5 fingers per hand has been the evolutionary standard number since before people were homo sapiens? Did you know that if you trace back our evolutionary origins, every species in our ancestry had 5 fingerlike things per hand-like thing, all the way back to the Devonian Period, over 300,000,000 years ago?! I assume that base 10 thinking is pretty deeply ingrained in our neurology. Yet, Earth time has a different preference.

Perhaps the ability to adapt our numbers to the sky is directly related to the forming of civilization. If you want to master your environment, you need to be able to predict it (When will the nights be lighter? When will it be warm or cold? When will the tide be high? etc). Then there’s another, perhaps more coincidental bonus for counting by 12’s. It avoids everyone’s least favorite topic from elementary school: fractions. You can divide 12 by 1, 2, 3, and 4 without ever having to learn a separate notation for those abominable non-whole numbers. Maybe that’s enough for everyday life, and maybe we save our more robust division methods for more complicated work. In the meantime, 12 is friendly, even to young children as they build their number sense. With 10 — the jerk! — you can’t even divide it by 3 before running into an infinite decimal expansion. Maybe adapting our biological preference for base 10 to the astronomical bases 12 and 30 were the key to getting it together as homo sapiens.

Archeological findings support this theory. The first civilization was in the Sumer region of Mesopotamia, about 6,000 years ago. The Sumerians had base 12 and 60 systems of counting. Using 60 gives even more divisibility than 30 does, and works for lunar cycles if we count days and nights as separate events. Not only that, but evidence suggests they had an efficient method for counting this way on their hands. (Look this up!) Something I find especially striking is that their method uses the opposable thumb as a tool for counting on the hand, perhaps a precursor for using a writing instrument on paper. Upgrading the thumb in this way has profound implications. It happens that the Sumerians also developed the earliest written language.

Okay, so what about today? Nearly everything has gone back to base 10. We let computers handle most (perhaps too many) computations, and most of us throw our hands in the air when it comes to fractions. It seems like sharing has become problematic, on a metaphysical level! But check this out. What time is it? How big is an angle in a regular triangle? Those base 12 and 60 systems trace all the way back to the origins of the written word! I think it’s worth thinking about why.

Subscribers were Invited to Participate in the Following Challenge

I say we bring back base 12. Who’s down? We’ll need two things: a new symbol for ten, and a new symbol for eleven.

To make this more interesting, let’s try to make our new symbols consistent with the symbols we already have for the digits 1 through 9. The hardest part, perhaps, is figuring out why the heck the symbols for 1 through 9 look the way they do in the first place! Actually, nobody knows the answer to this for sure, so use your imagination. I have my own idea, which I’ve never even told anyone publicly. Maybe I’ll tell you next time.

So, to participate, send me your own invented symbols for the numbers ten and eleven. Bonus challenge: give me your reason why you think the symbols 1, 2, 3, 4, 5, 6, 7, 8, 9 look the way they do, and explain why your new symbols continue the pattern. (If sending an image attachment, please keep the file size small.)

Have fun. Keep thinking. Stay curious.

Developing Projects


A Hypothesis Expedition is a multi-part virtual course developed and taught by Dr Joe Quinn. We focus on philosophical questions that stir the imagination and evoke critical thinking about ultimate reality. Students are introduced in an accessible way to math not typically seen in school. Usually these run through institutions such as BEAM and Columbia but other avenues are possible. Contact hello [at] hypothesisnyc.org if interested.

Gardens of Danu

A video game that takes place on the moons of our solar system, where players’ learning is compared to artificial intelligence as they interact with a race of playful but passive-agressive aliens called The Liralunes — a collaboration with software developer Michael Adams, featuring dolls by Tracy Pecarina of 2Ts in a Pod, and music by Dylan Sparrow. Join the mailing list to receive announcements about online playtesting events to be scheduled for 2021.


A picture book in which two characters test the boundaries of logic in an attempt to “Think about nothing”, aimed at imaginative readers, ages 8 to ∞ — a collaboration with Dennis Ryan.


A dark magic-themed tabletop board game featuring an original game mechanic based on concepts from geometric group theory. This is a long-term pet project of Hypothesis Director Joe Quinn, which he is play testing in confidence with small groups of friends. It will be scaled up and released publicly once it’s ready. Details will be posted here when available.

Proyectos en Desarrollo


Una Expedición de Hypothesis es un curso virtual escrito y enseñado por Dr Joe Quinn. Enfocamos en preguntas filosóficas que dan alas a la imaginación y se hacen reflexionar criticamente en la realidad última. Estudiantes tienen la oportunidad de ver temas de matemáticas, de manera accesible, que típicamenta no se ve en las escuelas. Lanzan por instituciones como BEAM y Columbia pero vías independientes también son posibles. Contáctanos a hello [at] hypothesisnyc.org si te interesas.

Jardines de Danu

Un videojuego que tiene lugar en las lunas de nuestro Sistema Solar, en donde el aprendizaje de los jugadores se compara con la inteligencia artificial mientras que interactúan con una raza de alienígenas lúcidos y pasivo-agresivos se llaman Los Liralunes — una colaboración con Michael Adams, que presenta las muñecas de Tracy Ryan de 2Ts in a Pod, y la música de Dylan Sparrow. Únete a nuestra lista de correo para noticias sobre pruebas del juego en línea, que tendrán lugar en 2021.


Un libro de ilustraciones en el que dos personajes prueban los límites de la lógica en el intento de "Pensar en nada," dirigido a lectores de 8 a ∞ años con mucha imaginación — una colaboración con Dennis Ryan


Un juego de mesa tenebroso sobre mágica, que incorpora un conjunto de mecanismos originales creados usando la teoría geométrica de grupos. Este es un proyecto de largo plazo del Director de Hypothesis, Joe Quinn, que está probando en privado con grupos pequeños de amigos. Será dado a conocer públicamente cuando sea listo, y los detalles se publicarán aquí.


A Hypothesis Voyage is a virtual play testing session, conducted live over video chat. These involve interactive digital content, and sometimes common household materials. They give you a glimpse of our games in development, and your feedback helps us continue making them awesome. Sessions are held in both English and Spanish.

Forms to sign up for Voyages will appear on this page. To get notified when we’re booking a new Voyage, sign our mailing list. The intended ages, prerequisites, etc, vary by session and are specified in the invitations.

Past Voyages

Note: in the entries below, the language is fixed to agree with the language of the session.


Un Viaje de Hypothesis es una prueba de juego virtual, hecho por videocharlas. Estos incluyen contenido interactivo digital, y a veces usan materiales comunes en la casa. Te permiten echar un visto a nuestros juegos en desarrollo, y tu comentario nos ayuda seguir haciendo contenido genial. Las sesiones se llevan a cabo en inglés y en español.

Viajes Anteriores

Nota: el texto sobre Viajes específicos está fijado para corresponder con el idioma de la sesión descrita.

2020.11.6 — Viernes Sin Cargo: Maker vs Breaker (esp)

Con participantes de México, exploramos la historia del teorema de cuatro colores. Entonces, enfocamos en un juego desarrollado para hacer más accesible los principios involucrados, y que tiene sus propios problemas no resueltos.

2020.10.10, at Ohio State University BAMM — Pipes and Pentagrams (eng)

For middle and high school students. Division is probably the least popular topic in grade school. Topology can be pretty hard too. But put them together and you get an awesome all-ages game that gets us thinking about one of the most important theorems in graph theory. This also resulted in some awesome post-session worksheets created in collaboration with BAMM.

2020.10.2 — Free Fridays: Maker vs Breaker (eng)

In a fun evening with fellow educators from Italy and the US, we explored the story of The Four Color Theorem, and how we use that as a source for games that teach math as a developing process. We shared methods for online engagement and how we are all rising to the challenge of online teaching, including methods that work better online than they do in the classroom.

2020.9.11, at Ohio State University BAMM — When the Maker Wins (eng)

For faculty and graduate students of the math department. We discussed the roll of artificial intelligence in mathematics, and Thurston’s notion of what constitutes a proof, focusing on the example of the Four Color Theorem. We explored a game invented in the late 80s in order to study that theorem, and played it against each other on our interactive boards via Google Docs. Finally we talked about some open problems related to the game.

2020.9.4 — Viernes Sin Cargo: El Problema de Futurama (esp)

Con una audencia de edades mezcladas de los EEUU, Francia y México. Conductor Doctor Roldan compartió unas diapositivas nuevas y chidos para introducir el problema. Doctor Quinn mangó tableros interactivos por Google Docs. Había varias soluciones e ideas interesantes sobre el problema y pensamos en visitarla de nuevo en el futuro.

2020.8.7 — Free Fridays: The Futurama Problem (eng)

Conductor Doctor Quinn came into this Voyage ready with brand new interactive virtual game boards and more (soon to be regular staples of our Voyages). But the weather was not on our side! Power outages across the northeastern US prevented many from joining, and thus we embarked with just one brave pilot, Luis, who solved The Futurama Problem all on his own!

2020.6.5 — Viernes Sin Cargo: Paradromia (esp)

Viaje de Hypothesis número cuatro, y el primero en español. Gracias a nuestros amigos de Matemorfosis y de Music Math, había mucho interés de México — ¡tuvimos 46 solicitantes para solo 16 asientos! Los pilotos exploraron patrones aritméticos en anules paradrómicas, y también algo de topología, y nos divertimos mucho.

2020.5.2 — Free Fridays: Heads, Tails, Tricks (eng)

The third Hypothesis Voyage was piloted by Juniper and Toby, and new pilots Mason and Kartik. Our pilots solved a coin tossing paradox, then pushed into some tougher territory where the problem got a little too hard for us. Nonetheless, we learned a lot about using trees to analyze games and probabilities, which apply to a broad range of scenarios.

2020.4.24 — Free Fridays: Paradromia (eng)

The second Hypothesis Voyage featured two pilots: Juniper and Toby, and was extremely successful. They conducted paper cutting experiments to study arithmetic patterns in paradromic rings. This lead us unexpectedly into some knot theory and some really fun visual thinking. According to their dad, our pilots continued their experiments for the next week, decorating the house with Möbius strips and other paradromic rings.

2020.4.3 — Free Fridays: Square Deal (eng)

First Hypothesis Voyage ever! Thanks to pilots Ben, Johnny, Juniper and Toby for getting this space ship off the ground. They solved a card game (meaning, figured out how to win the game no matter what the opponent does), then learned how to use the same principle to perform an impressive magic trick. Thanks to parents Jason and Curtis for the great feedback and for helping to make this happen!

Past Projects

2021 February-May — Expedition

Conceived, wrote, and taught the online Saturday enrichment course Infinity for BEAM Next.

2020 September-December — Expedition

Conceived, wrote, and taught the online Saturday enrichment course The Shape of the Universe for BEAM Next.

2020 July-August — curriculum design and online teaching*

Developed and taught the new course Geometric Topology: A Tool for Modeling the Universe for Columbia University’s Online Summer Programs for High School Students.

2020 June-July — online teaching*

Taught the course Thinking and Problem Solving: A New Look at Mathematics for Columbia University’s Online Summer Programs for High School Students.

2020 May — curriculum design*

Conceived and wrote the new course Geometric Topology: A Tool for Modeling the Universe for Columbia University’s Online Summer Programs for High School Students.

2020 April — curriculum design

Wrote a set of lesson plans for BEAM.

Hypothesis filed its articles of organization with the State of New York on April 1, 2020.

* The items marked with an asterisk were independent projects by Dr Joe Quinn, sole owner of Hypothesis LLC.

Proyectos Anteriores

2020 septiembre-diciembre — Expedición

Concebir, escribir, y enseñar el curso de enriquemiento The Shape of the Universe para BEAM Next.

2020 julio-agosto — desarrollo del plan de estudios y enseñanza en línea*

Desarollar y enseñar el curso nuevo Geometric Topology: A Tool for Modeling the Universe de la Universidad de Columbia, Programa en Línea del Verano para Estudiantes de la Preparatoria.

2020 junio-julio — enseñanza en línea*

Enseñar el curso Thinking and Problem Solving: A New Look at Mathematics de la Universidad de Columbia, Programa en Línea del Verano para Estudiantes de la Preparatoria.

2020 May — desarrollo del plan de estudios*

Concebir y escribir el curso nuevo Geometric Topology: A Tool for Modeling the Universe de la Universidad de Columbia, Programa en Línea del Verano para Estudiantes de la Preparatoria.

2020 abril — desarrollo del plan de estudios

Escribir un conjunto de propuestas didácticas para BEAM.

Hypothesis depositó sus artículos de organización en el estado de Nueva York en 1 de abril, 2020.

* Las partidas marcadas con un asterisco fueron proyectos independientes del Dr Joe Quinn, el único dueño de Hypothesis LLC.


Dennis Ryan

Visual Artist

Dennis has a unique vision and ability to communicate emotion through exquisite control of a wide variety of media. He works in creative and decorative painting as well as fine art. Samples of his work and info for contracting his unparalleled craftsmanship can be found at his website (dennis-ryan.com). Dennis holds a BA in painting from SUNY New Paltz, and has worked with architects, designers and decorators, specializing in watercolor, photoshop, faux finishes, color design, Tromp l’ceil, gilding, ornamental painting, murals, and more.

Dylan Sparrow


Dylan is a NYC based visual artist, musician and writer with an enthralling style that is at once nostalgic and futuristic. His newest digital book, The Dujodians, was released in late 2020 through Tsundoku Books via his website (www.dylansparrow.com) and explores the pathology of conservatism. His hobbies are street hiking, making mixtapes, and playing Quarth. Dylan holds a BA in Illustration from the School of Visual Arts and an MA in Teaching of Writing from LIU Brooklyn.

Érika Roldán Roa

Mathematician, Co-Founder of Hypothesis *

Érika works in the fields of stochastic topology, topological and geometric data analysis, extremal combinatorics, and recreational mathematics. She accompanies her research with gamification and visualization technology, with a passion for bringing people of all ages and backgrounds into the fray. She recently founded BAMM at Ohio State University, and co-founded Matemorfosis and Music-Math. Like Hypothesis, these projects promote and increase public awareness and enjoyment of mathematics and its applications. Within Hypothesis, she volunteers developing and implementing content. Érika holds a Ph.D. in probability and statistics from CIMAT Guanajuato, and has held various teaching and research positions, working for Universidad Juarez del Estado de Durango, ICERM (Brown University), CIMAT Guanajuato, and Ohio State University. She is currently a Marie Skłodowska-Curie Fellow under the EuroTechPostdoc program hosted by the Technical University of Munich and the École Polytechnique Fédérale de Lausanne. She receives funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 754462.

Joe Quinn

Director & Co-Founder of Hypothesis *

Joe used to think that math was boring and antithetical to creativity. He loves surrealism and used to approach work as something disconnected from his interests. That changed when he encountered some fringe math topics that piqued his curiosity, setting him on a path to a BA/MA in math from Hunter College (2010), to a PhD in topology from the Graduate Center, CUNY (2016), to a research postdoc at the Universidad Nacional Autónoma de México (UNAM, 2016-2018) yielding publications on non-Euclidean 3-manifolds. As his knowledge grew, he practiced sharing it with others who might feel estranged from academia like he had. He tutored (2007-2010) and then lectured (2010-2014) at Hunter College while piloting outreach presentations in the area. He taught and developed enrichment curricula for grades 7-10 at Johns Hopkins Center for Talented Youth (2014-2015) and undergrads at Bronx Community College (2014-2016). He led workshops in Spanish at the doctoral level at UNAM (2016-2018) and for grades 5-12 at Matemorfosis CIMAT. From 2018 to 2019, he developed most of the extracurricular content for grades 3-12 for the National Museum of Mathematics and advocated for more inclusive practices there. He continues to teach and write for Bridge to Enter Advanced Mathematics and Columbia University’s Summer Immersion Programs for HS students. His career goal is to bridge the gap between the math research community and the rest of the world for the benefit of both parties.

Kat Byrne

Artist / Poet

Kat has been writing poetry, drawing, and sculpting since she was a kid. Her poetry has been published by Slope. Kat’s creations are like warm spoonfuls of honey that can cure even the illest of conditions. She holds a BA in Creative Writing from SUNY Purchase, and works as a Barista and Auditor for Oslo Coffee.

Katrina Colletti

Data Analyst

Katrina is a brilliant and detail oriented creator who spends her time pursuing interests such as teaching, scientific research, animal care and rescue, making math fun for the general public, data science for social good, and advocating that everyone looks like a scientist. Most of her science research pursuits have centered around theoretical and experimental high energy physics. Katrina holds an MS in Physics from Texas A&M University. During her time there she was part of the SuperCDMS Collaboration, an experiment aiming to discover and understand the particle nature of dark matter.

Marcel Alexander

Marketing Coordinator

Marcel is known by many for his charismatic, generous and bright approach to life and to the popularization of science. He has been studying innovative marketing techniques since he was a high school student, working in everything from door-to-door sales to online marketing strategies. In his free time, he enjoys sci fi, hanging out with his friends, and composing music. Marcel holds a BA in Classical Composition from Purchase College, and studied orchestration under the tutelage of Richard Milan Simons in Westchester County, NY.

Michael Adams

Software Engineer

Michael is a software engineer based in New York City with a striking skill and passion for outreach mathematics. Before turning to coding, he served for three years in the Peace Corps teaching math in a rural primary school in South Africa. While there, he also helped set up a science centre in the village before spending a year as the Mathematics Program Coordinator at the Unizulu Science Centre in Richards Bay. When he’s not coding or math-ing, he enjoys biking, rock climbing and reading. Michael holds a BA in Mathematics from Bucknell University.

Sylvia Miles


Sylvia is a long time lover of and successful advocate for math and education. As a teacher, she taught math to all ages, from first grade through college calculus. She currently works as a CPA in sunny Southern California, where you can find her hiking or playing math games with her nephew. Sylvia holds a BS in Mathematical and Computational Sciences from Stanford University, and an MEd in Secondary Education and Teaching from UCLA.

Tracy Pecarina

Visual Artist

Tracy is known by many for the beautiful original paintings, drawings, and dolls she creates as presents for her friends’ birthdays. She now forms one half of the mother-daughter art and woven wares team 2 Ts in a Pod (www.2tsinapod.com), based in Pawling, New York. Therein, she works with repurposed and up-cycled yarns and fabrics to create one-of-a-kind dolls, each with their own unique names, stories, and personalities, all looking to find their rightful adoptive homes. Tracy holds a BA in Communications from SUNY New Paltz.

* Hypothesis is a single-member LLC owned and directed by Joe Quinn, founded by Érika Roldán Roa and Joe Quinn, and which works alongside various like-minded artists, contractors, and volunteers.


Dennis Ryan

Artista Visual

Dennis tiene una visión única y la capacidad de comunicar emociones por su control exquisito de una amplia variedad de medios. El trabaja en la pintura decorativa y creativa, y en bellas artes. Muestras de sus obras y información sobre contratar a su artesanía magnífica se puede encontrar a su sitio web (dennis-ryan.com). Dennis tiene una licenciatura en pintura de SUNY New Paltz y ha trabajado con arquitectos, diseñadores y decoradores, especializado en acabados falsos, diseño de colores, Tromp l’ceil, dorados, pintura ornamental, murales y más.

Dylan Sparrow


Dylan es un artista visual, músico, y escritor con base en NYC, con un estilo cautivador que es al mismo tiempo nostálgico y futuristo. Su libro digital más reciente, The Dujodians, se publicaró en 2020 a través de Tsundoku Books por su sitio web (www.dylansparrow.com) y explora la patología de conservatismo. Sus pasatiempos son senderismo urbano, hacer mixtapes, y jugar a Quarth. Dylan tiene un licenciatura en Ilustración de School of Visual Arts y una maestría en Enseñanza de la Escritura de LIU Brooklyn.

Érika Roldán Roa

Matemática, Cofundadora de Hypothesis *

Érika trabaja en el área de topología estocástica, análisis topológico y geométrico de datos, combinatoria extrema y matemáticas recreativas. Acompaña su investigación con tecnología de visualización y ludificación, con la pasión de hacer accesible el gozo de las matemáticas a personas de todas las edades y orígenes. Recientemente fundó BAMM en Ohio State University y también ha sido cofundadora de Matemorfosis y Music-Math. Al igual que Hypothesis, estos proyectos también tienen como objetivo el promover para todo el público el conocimiento de las matemáticas y sus aplicaciones. Actualmente, en Hypothesis, es voluntaria en el desarrollo de contenidos. Érika tiene un Doctorado en probabilidad y estadística del CIMAT Guanajuato y h a ocupado varios puestos de enseñanza e investigación: en la Universidad Juárez del Estado de Durango, ICERM (Brown University), CIMAT Guanajuato y Ohio State University. Actualmente tiene un Fellowship de Marie Skłodowska-Curie en el marco del programa EuroTechPostdoc en la Universidad Técnica de Munich y la École Polytechnique Fédérale de Lausanne. Recibe financiación del programa de investigación e innovación Horizonte 2020 de la Unión Europea en el marco del acuerdo de subvención Marie Skłodowska-Curie N° 754462.

Joe Quinn

Director & Cofundador de Hypothesis *

Cuando era más joven Joe pensaba que las matemáticas eran aburridas y algo antitético a la creatividad. Ama el surrealismo y abordaba su trabajo como algo desconectado de sus intereses. Esta idea se cambió cuando descubrió unos temas matemáticos marginales que despertaron su curiosidad llevándose en camino para licenciatura y maestría de Hunter College, Doctorado en topología del Graduate Center, CUNY (2016), y puesto como Investigador Postdoctoral en la Universidad Nacional Autónoma de México (UNAM, 2016-2018) con publicaciones en el campo de 3-variedades no euclideanos. Como crecía su conocimiento él practicaba compartiéndolo con otros que podrían sentirse alejados del mundo académico como él se había sentido. El dio conferencias en Hunter College (2014) mientras que estaba realizando las presentaciones de divulgación. Él enseñó y desarrolló cursos extracurriculares en el Centro para Jóvenes Talentosos de Johns Hopkins para los alumnos de grados 7-12 y alumnos de Bronx Community College (2014-2016). También dirigió talleres en español para los alumnos de doctorado en UNAM (2016-2018) y para los alumnos de grados 5-12 en Matemorfosis CIMAT. Desde 2018 hasta 2019 desarrolló la mayor parte de los contenidos extracurriculares para grados 3-12 al Museo Nacional de Matemáticas y abogó por prácticas más inclusivas allí. Actualmente él enseña y escribe para Bridge to Enter Advanced Mathematics y el programa de inmersión de verano para grados 9-10 de Columbia University. La meta de su carrera es tender un puente entre la comunidad de investigadores matemáticos y el resto del mundo en beneficio de los dos.

Kat Byrne

Artista / Poetisa


Katrina Colletti

Analista de Datos

Katrina es una creadora brillante y detallista quien pasa su tiempo realizando aficiones como enseñar, investigación científica, rescatar y cuidar animales, mejorar el aspecto público de las matemáticas, ciencia de datos para al bienestar social, y abocar que cada quien se ve como científico. La mayoría de sus investigaciones científicas han tenido que ver con la física de altas energías, tanto teórica como experimental. Katrina tiene una maestría en las físicas de la Universidad de Texas A&M. Mientras que estaba allí, ella fue parte de la Colaboración SuperCDMS, un experimento con el propósito de descubrir y entender la naturaleza particulada de la material oscura.

Marcel Alexander

Coordinador de Mercadeo

Marcel es bien conocido por su enfoque carismático, generoso y lúcido a la vida y a la divulgación de las sciencias. Él ha estudiado maneras innovadoras de mercadotecnia desde la preparatoria, trabajando en todo desde venta a domicilio hasta estrategías de venter en linea. En su tiempo libre, disfrute la ciencia ficción, gastar tiempo con sus amigos, y componer música. Marcel tiene licenciatura en Componer Clásico de Purchase College, y estudió orquestación bajo de la tutela de Richard Milton Simons en Westchester County, NY.

Michael Adams

Educador y Ingeniero de Software

Michael es ingeniero de software afincado en Nueva York con impresionante capaz y pasión por divulgación de las matemáticas. Antes de interesarse en la codificación, sirvió por tres años en el Cuerpo de Paz como maestro de las matemáticas en una escuela primaria en Sudáfrica. Mientras que estaba allí, él ayudó a montar un centre de las ciencias en la aldea antes de dedicar un año como Coordinador del Programa de Matemáticas del Centro de las Ciencias de Unizulu, en Richards Bay. Cuando no está escribiendo código o explorando las matemáticas, le gusta andar en bicicleta, escalar rocas, y leer. Michael tiene una licenciatura en matemáticas de la Universidad de Bucknell.

Sylvia Miles


Sylvia es una amante de y promotor exitosa de las matemáticas y la educación. Como profesora, ella enseñaba las matemáticas a gente de todas las edades, desde primer grado hasta calculo de nivel universidad. Actualmente, ella trabaja como Contable Pública en el sur de California, donde se la puede encontrar haciendo senderismo o jugando juegos matemáticos con su sobrino. Sylvia tiene una licenciatura en Ciencias Matemáticas y Computacionales de la Universidad de Stanford, y una maestría en Educación Secundaria de UCLA.

Tracy Ryan

Artista Visual

Tracy es conocida de muchas personas por sus dibujos, pinturas, y muñecas hermosas y originales, cuales que ella hace como regalos para los cumpleaños de sus amigos. Ahora, como la mitad del equipo de madre e hija se llama 2 Ts in a Pod (www.2tsinapod.com), que vende arte y tejidos, y que tiene su sede en Pawling, New York. Así, ella trabaja con hilos y tejidos readaptados y upcycled para crear muñecas, cada una con su único forma, nombre, historia, y personalidad, y cada uno esperando su hogar adoptivo legítimo. Tracy tiene una licenciatura en comunicación de SUNY New Paltz.

* Hypothesis es una LLC de un solo miembro, propiedad de y dirigido por Joe Quinn, fundado de Érika Roldán Roa y Joe Quinn, que trabaja junto a varios artistas, contratadores, y voluntarios afínes.


We welcome and greatly appreciate any donations. With your help, we strive to provide affordable access to our content for as many people as possible.


Agradecemos y apreciamos mucho cualquier donación. Con su ayuda, nos esforzamos por proporcionar acceso económico a nuestro contenido a tantas personas como sea posible.

Past Donations

2021 February 11 — $100 USD

2020 December 8 — $700 USD

2020 October 28 — $100 USD — “Looking forward to seeing your initiative grow. It’s needed.”

Donaciones Anteriores

2021 febrero 11 — $100 USD

2020 diciembre 8 — $700 USD

2020 octubre 28 — $100 USD — “Looking forward to seeing your initiative grow. It’s needed.”