To determine which element or principle is not present in the image "Regatta on the Grand Canal in Honor of Frederick IV, King of Denmark" by Luca Carlevarijis, we can analyze the options provided:
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Perspective: This element is likely present, as the depiction of the canal and boats would suggest a depth and spatial relationship among the objects.
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Movement: Given that the regatta scene likely portrays boats and people in action, movement is also likely to be a prominent aspect of the painting.
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Variety: In a lively scene featuring many people and boats, it is probable that there is a variety of shapes, colors, and activities represented.
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Symmetrical Balance: While many artworks, especially those depicting architecture or water scenes, can have a sense of balance, it may not be explicitly symmetrical given the dynamic nature of a regatta.
Based on this analysis, the element that is least likely to be present is symmetrical balance. Therefore, the answer would be symmetrical balance.