rotor: Balance Tubes Using Higher-Order Symmetrical Configurations

In centrifugeR: Non-Trivial Balance of Centrifuge Rotors

Balance Tubes Using Higher-Order Symmetrical Configurations

Description

rotor returns the numbers of tubes that can and cannot be loaded in a centrifuge rotor and optionally shows various ways to balance a certain number of tubes.

Usage

rotor(n, k = NULL, seed = 1, elapse = 1)

Arguments

n	an integer, the number of rotor holes.
k	an integer, the number of tubes (optional).
seed	an integer, the seed for random number generation. Setting a seed ensures the reproducibility of the result. See set.seed for more details.
elapse	an integer, the constrained time in seconds for random sampling.

Details

The number of rotor holes n ranges from 4 to 48.

Value

rotor returns a list with two components:

check	a list with three components: n the number of rotor holes. valid a vector containing the numbers of tubes that can be loaded. invalid a vector containing the numbers of tubes that cannot be loaded.
load	a list with three components: k the number of tubes. decompose a data frame showing different ways to decompose k. hole a data frame showing hole positions to load tubes. visual a list of rotor images showing hole positions to load tubes.

References

Sivek G. On vanishing sums of distinct roots of unity. Integers. 2010;10(3):365-8.

Peil O, Hauryliuk V. A new spin on spinning your samples: balancing rotors in a non-trivial manner. arXiv preprint arXiv:1004.3671. 2010 Apr 21.

See Also

rotorVerify for verifying the balance of pre-existing tube configurations.

Examples

rotor(30, 7)

centrifugeR documentation built on Dec. 28, 2022, 1:18 a.m.