The phrase "in a regular pattern" is correct and can be used in written English.
Example: The tiles on the floor are arranged in a regular pattern of alternating colors.
Most frequently quoins are toothed, set in a regular pattern of alternating lengths.
There are 504 transmitting and 252 receive channels placed in a regular pattern in the array.
Closer to the ground, the water vapour content also changes with height in a regular pattern.
The wavelength and frequency vary in a regular pattern according to the charge on the nucleus.
Skeletal muscle operates in bursts of activity, whereas cardiac and smooth muscle contract in a regular pattern.
Crystals are the result of molecules arranging themselves in a regular pattern extending in all three dimensions.
Electrons are embedded in a regular pattern, like raisins in a plum pudding, to neutralize the positive charge.
A young star far away in the galaxy is winking in a regular pattern that astronomers say is unlike anything seen before.
The scales that cover most of the body generally are arranged in a regular pattern, and thick, bony plates occur on the back.
The system is built on what are called grid cells, neurons that emit pulses of electricity in a regular pattern that maps the animal's movement.
They were mapping in the San Fernando Valley when they noticed that the almond trees on their map were starting to appear in a regular pattern - a totally different pattern from the streets that surrounded them.
