Fun Topology
From Math Images
| Fun Topology |
|---|
Fun Topology
- 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’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."
Leave Feedback
Leave a message on the discussion page by clicking the 'discussion' tab at the top of this image page.


