Petal knots: 3_1, 5_1, 6_2 and 6_3

thingiverse

The 3_1, 5_1, 6_2, and 6_3 petal knots constructed by Claire Gilreath. Joanne Wang, and Selihom Gobeze (students in Math 383D Knot Theory Spring 2023). Petal knots are knots arranged so that there is just one crossing visible when they are seen from a particular viewpoint. The math for these petal knots can be found in the paper Knot Projections with a single multi-crossing by Colin Adams et al. in Journal of Knot Theory and its Ramifications Vol. 24, No. 3, 1550011 (2015) https://www.worldscientific.com/doi/abs/10.1142/S021821651550011X A description of how to find trigonometric coordinates for petal knots can be found here: https://mathvis.academic.wlu.edu/2023/05/19/trig-trials/ A description of how the 3D printable models were then constructed can be found here: https://mathvis.academic.wlu.edu/2023/05/19/flowering-3d-models/