Consider what rampless literally means. Well it means “no ramps” and if you were a Pyramid builder and knew a rampless method for construction there may well be many advantages.
Ramps are not mentioned in the ancient Egyptian records so why mention ramps here. Simply because in the last two hundred years various ramp theories have been invented and have persisted to the point of becoming world consensus of how Egyptian Pyramids were constructed.
Rampless Egyptian Pyramid construction by the ancient method is fully explained with a firm style aided by photographs and colour illustrations.
RAISING STONE 1: Paul Hai’s racks & pinions theory. ISBN 9780646476797
Rampless Egyptian Pyramid construction 
Rampless Egyptian Pyramid construction has a definite AUSTRALIAN connection.
Captain Matthew Flinders navigated and mapped Australia’s coastline. His grandson became Professor Sir William Matthew Flinders Petrie who excavated ancient Egyptian artifacts. In 1895 as an employee of the Egypt Exploration Fund (now Society) of London he was excavating artifacts at Deir el-Bahari and found a cache of ancient building equipment buried for preservation in a hewn out rock pit during Pharaonic times.
One of the wooden items is stated as being of “unidentified use” and has been named the “Petrie rocker” by Egyptologists.
Petrie considered the “rocker” was used to raise Pyramid blocks with a “rocking” motion and in 2006 he has been proven partly correct on the matter of raising Pyramid blocks using “rockers”.
The “rocker” is a component of an ancient Egyptian pulley which operates with a mechanical advantage of 2.8 and with CLASS 2 lever principle as a wheelbarrow does. (CLASS 2 lever: Pivot – Load – Effort).
The technical term for the “Petrie rocker” is “pinion-pulley lobe quadrant”. Four of these surround a Pyramid block and then the pulley is hoisted causing rotation and positive engagements of pulley lobes with Pyramid steps.
Consider the Pyramid as four RACKS of stone teeth on to which the PINION pulley lobes engage and here is the earliest form of RACK & PINION mechanics that we know of.
This is the ancient method of Pyramid construction as used on at least four large Pyramids: Sneferu’s RED Pyramid and those at Giza of Khufu,
Khafre and Menkaure.
This ancient method of construction DOES NOT REQUIRE RAMPS and uses the Pyramid under construction (using all four sides simultaneously) to complete the Pyramid, thus using a Pyramid to build a Pyramid.
Petrie died in Jerusalem in 1942 unknowing that “Petrie rockers” are components of an ancient pulley, unlike any pulley in the modern world, and his most important excavation.