  We present a construction of highly entangled states defined on the topology
of a platonic solid using tensor networks based on ancillary Absolute Maximally
Entangled (AME) states. We illustrate the idea using the example of a quantum
state based on AME(5,2) over a dodecahedron. We analyze the entropy of such
states on many different partitions, and observe that they come on integer
numbers and are almost maximal. We also observe that all platonic solids accept
the construction of AME states based on Reed-Solomon codes since their number
of facets, vertices and edges are always a prime number plus one.
