Number of Cubes Stacked in a Corner

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A pile of cubes is stacked in a corner. Assume that underneath the visible cubes, the figure is filled by cubes going down to the corner. What is the number of cubes? You can rotate the figure to observe it at a different angle.
Contributed by: Izidor Hafner (October 2017)
Open content licensed under CC BY-NC-SA
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"Number of Cubes Stacked in a Corner"
http://demonstrations.wolfram.com/NumberOfCubesStackedInACorner/
Wolfram Demonstrations Project
Published: October 10 2017