Create a 2d circular maze

Create a 2d circular maze

How can I create a 2d procedurally generated circular maze like the following picture:

Solutions/Answers:

Answer 1:

Any maze generation algorithm, that only relies on a set of nodes (pretty much all) will work. Instead of creating a grid, where each grid point is a node and they connect to their neighbours, you need to generate them in the circular shape.

So, first of all, the center is a node. Let’s say the next layer has 6 nodes and the middle connects to all of them. To make sure the maze stays consistent, each layer (apart from the second) should have twice as much nodes, as the one before, because you need one neighbour for every node in the last layer and you need to put one extra node between them, so that the maze becomes more detailed the farther you go from the center.

Pseudo code for this:

nodes is an empty set of nodes
put central node in nodes
put the second layer's nodes in nodes
connect the first and second layer

let currentLayerCount be 12
for every layer
    for i from 0 to currentLayerCount
        create a node with a position
            x: cos(2*pi / currentLayerCount) * layerId
            y: sin(2*pi / currentLayerCount) * layerId
        put node in nodes
        if i is divisible by 2
            connect the node to the neigbouring nodes in the same and last layer
        else
            only connect the node to the neighbouring nodes in the same layer
        end if
    end for
    multiply currentLayerCount by 2
end for

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