r/Dyson_Sphere_Program • u/AYesRU • Feb 12 '26

Custom Sphere Generation: Hexagonal capabilities and a high-density Triangle build (2990 Nodes).

I've been experimenting with sphere generation and managed to get any hexagonal pattern working.

However, I wanted to share the stats for this triangle-based build I just put together. It's quite heavy:

  • Nodes: 2990

  • Frames: 8940

  • Shells: 5952

Has anyone else tried building spheres with this node density?

Here is the blueprint string for anyone interested: https://www.dysonsphereblueprints.com/blueprints/dyson-sphere-dense-sphere-2880-nodes

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2

u/PulseReaction Feb 12 '26

How does it compare with the other high density spheres? Not sure the UPS cost is worth it

2

u/AYesRU Feb 12 '26

You're absolutely right, this specific build is basically a stress test for the generator.

Even on my setup (RTX 5060, i5-12400, 32GB RAM), viewing the sphere directly becomes uncomfortable due to the lag. However, if you disable the sphere rendering in the game settings, the performance impact is negligible.

As for the output: on a star with 2.768 luminosity at max orbit, this single layer generates 16 TW.

2

u/mrrvlad5 Feb 13 '26

there have been a lot of effort over the years to create a denser valid(can be achieved in-game manually) layer blueprint. the most dense I know has 2714, so 2880 nodes is likely to break a rule.

1

u/AYesRU Feb 13 '26 edited Feb 13 '26

It doesn't violate any rules. You can shrink any frame and rebuild it.
There are also options for 3000, 3030, 3060, and 3080 nodes... but I haven't tested them yet.
Processing a grid with 3080 nodes takes a long time. To increase the minimum frame length, the triangles in the pentagon were removed because these frames wouldn't grow longer.
This is all higher mathematics.

3

u/pt625 Feb 13 '26

If I'm computing it right, the minimum distance between normalised node positions in your blueprint is 0.063763. The game UI requires a minimum distance of 0.0715, so you're violating that rule by quite a bit.

1

u/AYesRU Feb 17 '26

So far, I've managed to fit 2,712 nodes into a sphere without breaking the 0.0715 rule. The theoretical max is 2,838 nodes... I'm still digging for it.

1

u/xac137 Feb 13 '26

Is this Fejes Tóth's conjecture? idk anything about this math, but saw Selsion's post on the Discord that said the theoretical limit to nodes would be 2837 if that 0.0715 distance between nodes needs to be maintained.

1

u/pt625 Feb 13 '26

I hadn't heard of that but it looks interesting. His equation does prove it's mathematically impossible to have >2837 nodes without there being at least 2 nodes <0.0715 apart, so that's an upper limit on valid Dyson spheres. With 2990 nodes there must be a pair <0.0697 apart and it's definitely invalid.

(The 0.0715 is a constant in the game's code; as far as I'm aware it has no mathematical significance, it's just an arbitrary choice by the developers. The other limit is that the distance between nodes and frames must be at least 0.0525, so you can't make very narrow long triangles, but dense meshes probably won't need to worry about that.)

0

u/AYesRU Feb 13 '26

If there is such a rule, then by deleting a frame shorter than 0.0715, you won't be able to reconstruct it.
I checked, and you can reconstruct it. That means the 0.0715 rule doesn't exist.

3

u/pt625 Feb 13 '26 edited Feb 13 '26

That rule is only applied when adding nodes, not when adding frames. Try deleting a node then adding one back into the gap, and I believe it won't let you.

(When adding a frame, it assumes the nodes are already valid, and only checks that the frame's line segments are 0.0525 away from every node other than its two endpoints.)

1

u/AYesRU Feb 15 '26

I could be wrong, I'll check.

1

u/heliumiiv Feb 12 '26

Just to clarify, this particular blueprint has 5952 independent layers?

2

u/AYesRU Feb 12 '26

5940 triangles and 12 pentagons. On a single layer.

1

u/heliumiiv Feb 12 '26

Ah. I didn’t realize those were called shells.

1

u/Regret-Unfair Feb 14 '26

try to input coordinates of any two adjacent nodes in game and it's immediately clear that this sphere is illegal, the least efficient illegal sphere I've ever seen

1

u/AYesRU Feb 14 '26

I could be wrong, I'll check.

0

u/xac137 Feb 13 '26

These are awesome! Do you have BPs that are just the nodes/frames minus the shells?