Fun Topology
From Math Images
- The topology is equivilent to a sphere with 30 holes. The boundary of each hole loops over itself twice with two Reidemeister-I twists and links with 6 others.
A More Mathematical Explanation
Author's Comments:
"Here is my attempt to recreate a similar-looking structure to Bathsheba Grossman [...]Author's Comments:
"Here is my attempt to recreate a similar-looking structure to Bathsheba Grossman’s beautiful Quin Pendant Lamp. The topology is equivilent to a sphere with 30 holes. The boundary of each hole loops over itself twice with two Reidemeister-I twists and links with 6 others. I’m still not sure what the linking number of this 30-component knot is (let me know if you find out). In terms of symmetry, it can by described as:
- a dodecahedron with a hole over each edge
- an icosahedron with a hole over each edge
- an icosahedron with a hole over each vertex
- a rhombic triacontahedron with a hole over each face (the arms trace a graph isomorphic to the edge graph)
Special thanks to Jonathan Schneider for pointing out these interesting observations to me."
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