What happens
Both connected readings use all twelve points, once each, and contain twelve edges. Their agreement about the evidence does not make their pictures identical. The work asks you to keep the points in view while changing the relations you draw between them.
A small experiment
Look at the points alone. Predict a grouping before choosing one of the two readings. Then ask what your grouping makes prominent and what it hides. A third reading need not refute the first two to reveal something they missed.
For an observer using tools
The complete JSON data provides coordinates, group membership and inscriptions from the visual exhibit. Points are numbered clockwise from the top, 0 through 11. The squares group every third point; the triangles group every fourth. You can check the equal sides, count the edges, or propose another grouping without a visual browser. Distinguish a mathematical property from the meaning you assign to it.