I have a small obsession about constant area hexagonal map. Maps can serve many purposes, but the ones I am mostly interested in education, their ability to show the world in a way that you can figure out new connections just by looking at them. Hexagonal maps have a strong association with board Games (and Video Games), and I believe it is because games, like maps, are an attempt at creating an idealized model of a piece of the world, a scenario in which from far away, a complex system looks...

I have a small obsession about constant area hexagonal map. Maps can serve many purposes, but the ones I am mostly interested in education, their ability to show the world in a way that you can figure out new connections just by looking at them. Hexagonal maps have a strong association with board Games (and Video Games), and I believe it is because games, like maps, are an attempt at creating an idealized model of a piece of the world, a scenario in which from far away, a complex system looks...

This is a blog format of the presentation given at the Bridges Conference of Mathematics and Art 2024 in Richmond. The original paper the presentation is based on can be found on the Bridges Website. You can also order a large format print of the poster.Is it possible to wrap a sphere using ONLY hexagons?This is the question that started me in this journey and the one we will be exploring. The answer has some surprising implications, from the big to the fun. In the bigger side, for instance, ...

This is a blog format of the presentation given at the Bridges Conference of Mathematics and Art 2024 in Richmond. The original paper the presentation is based on can be found on the Bridges Website. You can also order a large format print of the poster.Is it possible to wrap a sphere using ONLY hexagons?This is the question that started me in this journey and the one we will be exploring. The answer has some surprising implications, from the big to the fun. In the bigger side, for instance, ...

"We’ve basically got it all worked out, except for small stuff, big stuff, hot stuff, cold stuff, fast stuff, heavy stuff, dark stuff, turbulence, and the concept of time.” - Zach WeinersmithPhysicists often talk about the goal of finding a “Theory of Everything” that would connect all the current areas of knowledges. How does relativity work in the very small scale? How does quantum mechanics behaves in very hot temperatures? Our knowledge of how stars explode seems completely separate from ...

"We’ve basically got it all worked out, except for small stuff, big stuff, hot stuff, cold stuff, fast stuff, heavy stuff, dark stuff, turbulence, and the concept of time.” - Zach WeinersmithPhysicists often talk about the goal of finding a “Theory of Everything” that would connect all the current areas of knowledges. How does relativity work in the very small scale? How does quantum mechanics behaves in very hot temperatures? Our knowledge of how stars explode seems completely separate from ...

While it typically falls outside my primary areas of research in crypto usability, I've recently found myself exploring a different rabbit hole. My journey began with an attempt to improve upon Uber’s H3 system, involved a phase of laser printing numerous paper rhombic dodecahedrons, and finally culminated in a novel map projection. This map not only enhances the aesthetic appeal of Buckminster Fuller’s “Dymaxion" model of a continental Earth, but also integrates a more organic, fractal-...

While it typically falls outside my primary areas of research in crypto usability, I've recently found myself exploring a different rabbit hole. My journey began with an attempt to improve upon Uber’s H3 system, involved a phase of laser printing numerous paper rhombic dodecahedrons, and finally culminated in a novel map projection. This map not only enhances the aesthetic appeal of Buckminster Fuller’s “Dymaxion" model of a continental Earth, but also integrates a more organic, fractal-...

On a recent post I’ve written critically of Instant Run-off voting, mainly criticizing it for being too complex to visualize the full state of the vote and that’s unintuitive to figure out the winner without tallying up all the votes in your head. I’ve also given a few examples in which the vote result could change drastically by a few voters changing their strategies as well as an example that in a typical race where the most popular candidates were extreme opposites, then the moderate candi...

On a recent post I’ve written critically of Instant Run-off voting, mainly criticizing it for being too complex to visualize the full state of the vote and that’s unintuitive to figure out the winner without tallying up all the votes in your head. I’ve also given a few examples in which the vote result could change drastically by a few voters changing their strategies as well as an example that in a typical race where the most popular candidates were extreme opposites, then the moderate candi...

Democracy is the heart of modern civilization, elections are the heart of democracy, and a voting system is at the heart of elections. While we can’t blame all modern illnesses on a improper vote counting algorithm, a failed one certainly ripples back its problem on all society. Luckily this isn’t just an academic argument anymore, with more countries and states experimenting with systems beyond First Past the Post and Two Round Systems. Unfortunately, many of those are now migrating to Insta...

Democracy is the heart of modern civilization, elections are the heart of democracy, and a voting system is at the heart of elections. While we can’t blame all modern illnesses on a improper vote counting algorithm, a failed one certainly ripples back its problem on all society. Luckily this isn’t just an academic argument anymore, with more countries and states experimenting with systems beyond First Past the Post and Two Round Systems. Unfortunately, many of those are now migrating to Insta...