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The way I think you can read it (in GB&I) is that greens pre-1900 were as they were laid, flat or undulating... the first real earth moving architecture in the early 1900's started to "create" greens and the wildness of them grew over the next 20 odd years as the expertise and confidence at creating correct slopes grew... And then the golfing public backlashed (something that hasn't changed since aside from those GCA afficionados who like undulations)
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The urge to create greens may have started at least a wee bit earlier. In Montrose, 1899, a few new greens were created under the following specifications:
The turf will be laid by thoroughly experienced workmen only and must be laid to an even gradient entirely free from humps, hollows or any irregularity of surface. . . . and finished to a true surface with spirit level and levelling board.
Given that Montrose was a famous golf community at the time, I expect this infatuation with flat surfaces was more widely shared.
Harry Colt, 14 years later, in proposing his revisions to Montrose, praised the greens for their conditioning, but said that ‘the natural undulations have been flattened out too much’.