Metric information in cognitive maps: Euclidean embedding of non-Euclidean environments
Fig 2
(a) Vertex positions in the maze. Their pixel coordinates were considered the Euclidean ground truth for the model. The maze was partitioned into straight segments and corners, and one vertex was placed per corner. Two vertices, 12 and 35, were only used in a control graph without wormholes. (b) The corresponding topological graph with edges through wormholes (red dotted lines). The graph was then labeled with local distance and angle measurements based on the ground truth, except for the wormhole edges, which were manually adjusted to reflect the locally distorted topology instead. Note that the distance along the wormhole edges is shortened but not zero.