Distinct angles in general position

HL Fleischmann, SV Konyagin, SJ Miller… - Discrete …, 2023 - Elsevier
… minimum number of distinct angles between n … distinct angles formed by n points in general
position from O ( n log 2 ⁡ ( 7 ) ) to O ( n 2 ) . We consider a point-set to be in general position

On Distinct Angles in the Plane

SV Konyagin, J Passant, M Rudnev - arXiv preprint arXiv:2402.15484, 2024 - arxiv.org
… for the number of distinct angles even in the case of the points being in general position that
is … As for the upper bound, one can get O(N2) distinct angles by taking N points on a quadric. …

Distinct angle problems and variants

HL Fleischmann, HB Hu, F Jackson, SJ Miller… - Discrete & …, 2023 - Springer
distinct angle problems. We show that the number of distinct angles formed by n points in
general position … ’s construction admits fewer distinct angles than the optimal configurations in …

[PDF][PDF] Distinct Angles and Angle Chains in Three Dimensions

R Ascoli, L Betti, JL Duke, X Liu… - Discrete …, 2023 - dmtcs.episciences.org
distinct angles formed by a set of n points in general position … the question of distinct angles
in general position in R3 and … a configuration of points is in general position if it contains no …

Optimal point sets determining few distinct angles

HL Fleischmann, SJ Miller, EA Palsson… - arXiv preprint arXiv …, 2021 - arxiv.org
… to adding points in a finite number of positions by geometric casework. We thus both find P(2…
As such, we instead provide general bounds on P(k). In [FlHu] the authors study the quantity …

[PDF][PDF] Distinct Angles and Angle Chains in R3

R Ascoli, JL Duke - 2022 - williams.edu
… of how many distinct angles there must be, but … distinct angles in a plane is most interesting
when we disallow three points on a line or four points on a circle (also called general position)…

[PDF][PDF] Distinct Angles in Three Dimensions

R Ascoli, L Betti, JL Duke, X Liu, W Milgrim, F Romero… - williams.edu
… of distinct angles in three dimensions. We discuss the difficulties of constructing a point
configuration in general position with fewer than O(n 2 ) distinct angles, … number of distinct angles. …

Sequential structural transitions with distinct dielectric responses in a layered perovskite organic–inorganic hybrid material:[C 4 H 9 N] 2 [PbBr 4]

ZX Wang, WQ Liao, HY Ye, Y Zhang - Dalton Transactions, 2015 - pubs.rsc.org
… The angles and … angles are comparable to those found in other structurally similar
bromidolead(II) compounds. 10c The orientationally disordered IBA cation sits on a general position, …

… Interactions in Cationic Gold Complexes with Two Isocyanide Ligands. Polymorphic Yellow and Colorless Forms of [(Cyclohexyl Isocyanide)2AuI](PF6) with Distinct …

RL White-Morris, MM Olmstead… - Journal of the American …, 2003 - ACS Publications
… Selected bond lengths and angles are given in the figure … and one anion in a general position.
Since each gold atom is … group resides in an equatorial position in the cyclohexyl ring. The …

Disentangling and modeling interactions in fish with burst-and-coast swimming reveal distinct alignment and attraction behaviors

DS Calovi, A Litchinko, V Lecheval… - PLoS computational …, 2018 - journals.plos.org
… We start from very general forms for the expected repulsive … total angle change δϕ have
been generated as explained above, we have to eliminate the instances where the new position