Escherian Go

D13

https://vsotvep.github.io/escheriango.html?st=ApEtBoFwChGtDaHcDgHmDtHv

1 Like

Normal Toroidal Go would look something like this on this projection.

You could see it as if you’re looking down the top of an infinitely long cylinder.

4 Likes

D11

https://vsotvep.github.io/escheriango.html?st=ApEtBoFwChGtDaHcDgDkHmDtHv

1 Like

I like to think of it as like a cuckoo clock, except that when the door opens, instead of the bird, out comes a little version of that clock, and it’s not just a copy, but rather the actual clock itself, where, if we look closely, we might see that its door is open and another smaller version of itself is coming out and so on.

5 Likes

D21

https://vsotvep.github.io/escheriango.html?st=ApEtBoFwChGtDaHcDgDkHmDtHuHv

2 Likes

If there’s no cuckoo clock, there’s always the amazing Spiderman.

https://vsotvep.github.io/escheriango.html?st=ApEtBoFwChGtDaHcDgDkHmDsDtHuHv

D19

Sorry, I would take screenshots, but I’ve been playing on mobile this whole time, so it’d be a bit cumbersome. Also, the right side of the board has a rendering glitch on my Android chrome

1 Like

𝓖𝓮𝓽 𝓕𝓾𝓷𝓴𝔂!

What you guys can come up with…

3 Likes

B22

https://vsotvep.github.io/escheriango.html?st=ApEtBoFvFwChGtDaHcDgDkHmDsDtHuHv

Probablby the screen isn’t wide enough, I can fix it later, shouldn’t waste too much time working on this Go variant though, I have yet to do some actual studying today…


@Sanonius, Oh wow, I haven’t heard that Cantaloupe Island remix in decades, used to be one of my favourite songs on the jazz radio that I used to listen as a kid :stuck_out_tongue:

5 Likes

I’m sorry, but this was literally the first thing I thought of when I saw this

a1

10 Likes

https://vsotvep.github.io/escheriango.html?st=ApEtBlBoFvFwChGtDaHcDgDkHmDsDtHuHv

B12

Too much for me lol. Maybe I’ll try Möbius Go first

4 Likes

Oh my god my head hurts. :smile:

B19

I like the clean look more for playing, it’s hard to get an overview with all the extra information. Actually, scrap that thought, it’s just hard to get an overview :stuck_out_tongue:

I keep thinking D13 is in atari…

https://vsotvep.github.io/escheriango.html?st=ApEtBlBoFsFvFwChGtDaHcDgDkHmDsDtHuHv

1 Like

B21

https://vsotvep.github.io/escheriango.html?st=ApEtBlBoFsBuFvFwChGtDaHcDgDkHmDsDtHuHv

1 Like

The fact that stone placements are repeated down the spiral just bakes my noodle way too hard. It all just turns into quantum foam and I can make sense of like 15% of it…

3 Likes

Topologically this is still a torus I think?

Edit: didn’t read carefully. It’s mentioned it is a torus

2 Likes

The board is essentially drawn on a surface like a torus. It is similar to toroidal Go, but in a broader family of Edgeless Go variants. In particular, this Escherian Go has a grid that features a twist and also some irregularities (note that there are some points with only 3 adjacencies).

The vanishing repeating visualization is a neat trick, but not entirely necessary. It would also be possible to depict it with a parallelogram-shaped board (with edges connected to each other) as noted by @Vsotvep above:

I really like the visualization since it is a nice, artistic way to portray the connectivity in a nesting, self-referential manner.

6 Likes

A7

https://vsotvep.github.io/escheriango.html?st=EgApEtBlBoFsBuFvFwChGtDaHcDgDkHmDsDtHuHv

1 Like

https://vsotvep.github.io/escheriango.html?st=EgApEtBlBoFsBuFvFwCaChGtDaHcDgDkHmDsDtHuHv

C1

1 Like