roct function

Random onionic vectors

Random quaternion or octonion vectors and matrices

rquat(n=5)
roct(n=5)
rsquat(n=11,s=12)
rsoct(n=11,s=12)
romat(type="quaternion", nrow=5, ncol=6, ...)
rsomat(type="quaternion", nrow=5, ncol=6, ...)

Arguments

• n: Length of random vector returned
• nrow,ncol,...: Further arguments specifying properties of the returned matrix
• s: In the sparse functions rsquat() and rsoct(), an integer specifying the level of sparsity, with higher values meaning to return sparser onions
• type: string specifying type of elements

Details

Function rquat() returns a quaternionic vector, roct()

returns an octonionic vector, and romat() a quaternionic matrix.

Functions rquat() and roct() give a quick get you going random onion to play with. Function romat() gives a simple onionmat, although arguably matrix(roct(4),2,2) is as convenient.

The sparse functions rsquat() and rsoct() and rsomat() return onions that have many zero entries; non-zero entries are small integers. They showcase the print method for the case when show_onions_compactly is set.

Author(s)

Robin K. S. Hankin

References

K. Shoemake 1992. Uniform random rotations . In D. Kirk, editor, Graphics Gems III pages 129-130. Academic, New York.

Examples

rquat(3)
roct(3)
plot(roct(30))

romat()

rsquat()
rsoct()