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You may alter the angles, so long as the plan view does not change. Click on the “Competition” link at the upper right, and you will see another link for the rules (in PDF format). You should download that and study it.
“10.46 Plan view – That arrangement of points and lines that one sees when looking
directly down or up the 90° vertical axis of the stone. While cutters may alter the angles
(and therefore crown and pavilion height) of the plan, they may NOT add or subtract any
facets from the plan view diagram.”