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Because a bucket can be processed only by a single processor, the division of the frame in too few buckets can prevent the optimal utilization of computational resources (some CPUs stay idle all the time). However, the division of the frame into too many buckets can slow down the rendering because there is some time overhead related to each bucket (bucket setup, LAN transfer, etc.). To handle this problem, V-Ray 3.0 now dynamically reduces the size of the buckets when small parts of the image remain to be rendered.

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Lock Bucket Size – Forces the bucket shape to a square by locking the region's W and H (width and height) together. Enabled by default.

W – Determines the bucket's maximum region width in pixels (when using Bucket W/H) or the number of regions in the horizontal direction (when using Region Count). 

H – Determines the bucket's maximum region height in pixels (when using Bucket W/H) or the number of regions in the vertical direction (when using Region Count). This parameter is available only when Lock Size is disabled.

Bucket Type – Determines the way the X and Y parameters are used to set bucket size:

Bucket W/H – The values for X and Y are in pixels.
Region Count – The values for X and Y determine the number of regions in the horizontal and vertical direction respectively.

Sequence Type – Determines the order in which the regions are rendered.

Top-Bottom – From top to bottom. 
Left-Right – From left to right. 
Checker – In a checker pattern. 
Spiral – In a spiral pattern. 
Triangulation –  Default, and usually the best choice, especially if you use a lot of dynamic geometry (displacement-mapped objects, proxy objects). This option walks through the image in a consistent manner; it displays information as it is calculated using the most efficient sequence for the current rendering settings, and uses geometry that was generated for previous buckets to render subsequent buckets. 
Hilbert – In the pattern of a Hilbert space-filling curve.

Reverse Sequence – Reverses the region sequence order. 

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