Rasmus Joergensen

flabbergasted, also at

[Rasmus Joergensen @rasjor]

Bye, bye, and see you elsewhere…

https://t.co/ezmSKTjJiP

[Rasmus Joergensen @rasjor]

Final Bolza boundaries sculpture commissioned for Marmomac in Verona.

[Rasmus Joergensen @rasjor]

I am in awe that this can even be produced! The collaboration with Fabio Gramazio and Matthias Kohler is taking shape cut-by-cut.

[Rasmus Joergensen @rasjor]

Removing the surface and emphasising the edges reveals the intricate structure.

[Rasmus Joergensen @rasjor]

Infinite decagonal tiling embeddable in E³. Inner structure unknown.

[Rasmus Joergensen @rasjor]

Surface separates two spaces.

[Rasmus Joergensen @rasjor]

@ylecun For better or worse, it is not true that anyone can publish to https://t.co/NwbooxMQjh.
You either need an email from an academic institution or an endorsement from an existing user with publications in the same field, AKA peer review.

[MathMatize Memes @MathMatize]

One of the coolest theorems

[Rasmus Joergensen @rasjor]

The glueing rules. (3/n)

[Rasmus Joergensen @rasjor]

Another octagonal wonder. (1/n)

[Rasmus Joergensen @rasjor]

Closed in one direction and permissive in the other. (2/n)

[Rasmus Joergensen @rasjor]

(7/n)

[Rasmus Joergensen @rasjor]

Octagonal infinite tiling of a surface between two skipped cubic (nbo) skeletons. The clue, the base tile is about as far from regular as it gets. (1/n)

[Rasmus Joergensen @rasjor]

The tiling can be divided into modules using a graph decomposition of the Poincaré dual on the flags of the octagon. Checking the residual graphs for isomorphic subgraphs sometimes feels like fishing in a pond. (5/n)

[Rasmus Joergensen @rasjor]

(6/n)

[Rasmus Joergensen @rasjor]

… and messy self-intersecting surfaces with polynomial growth, that defies description when up close, but show order at the boundaries, when viewed at a distance. (5/n)

[Rasmus Joergensen @rasjor]

An “ugly duckling”… Beauty is often associated with symmetry and this tile has none all by itself. To make the magic happen, start by laying it out on the hyperbolic plane using rotations only. (1/n)