Skip to main content
added 129 characters in body
Source Link
David G. Stork
  • 2.6k
  • 1
  • 21
  • 37

No. The top figures show projections of two trefoil knots, each of which can be assigned a different (or same) crossings. Join the different assignments in the different crossings, as shown at the bottom to get two different knots, not related by a mirror reflection.

After all, one can be the un-knot (loop) and another a true knot, and these cannot be related by a mirror symmetry (of course).

enter image description here

No. The top figures show projections of two trefoil knots, each of which can be assigned a different (or same) crossings. Join the different assignments in the different crossings, as shown at the bottom to get two different knots, not related by a mirror reflection.

enter image description here

No. The top figures show projections of two trefoil knots, each of which can be assigned a different (or same) crossings. Join the different assignments in the different crossings, as shown at the bottom to get two different knots, not related by a mirror reflection.

After all, one can be the un-knot (loop) and another a true knot, and these cannot be related by a mirror symmetry (of course).

enter image description here

Source Link
David G. Stork
  • 2.6k
  • 1
  • 21
  • 37

No. The top figures show projections of two trefoil knots, each of which can be assigned a different (or same) crossings. Join the different assignments in the different crossings, as shown at the bottom to get two different knots, not related by a mirror reflection.

enter image description here