Histogram3D

• Histogram3D[data] by default plots a histogram with equal bins chosen to approximate an assumed underlying smooth distribution of the values {x_i, y_i}.

• The -width of each bin is computed according to the values x_i; the -width according to the y_i.

• The following bin specifications bpsec can be given:

• Possible named binning methods include:

• The function fw in Histogram3D[data, fw] is applied to a list of all {x_i, y_i}, and should return an explicit bin list {{bx₁, bx₂, ...}, {by₁, by₂, ...}}. In Histogram3D[data, {fx, fy}], fx is applied to the list of x_i, and fy to the list of y_i.

• Different forms of 3D histogram can be obtained by giving different bin height specifications hspec in Histogram3D[data, w, hspec]. The following forms can be used:

• The function fh in Histogram3D[data, bspec, fh] is applied to 3 arguments: a list of bins {{bx₁, bx₂}, {bx₂, ...}, ...}, a list of bins {{by₁, by₂}, {by₂, ...}, ...}, and the corresponding 2D array of counts {{c₁₁, c₁₂, ...}, {c₂₁, ...}, ...}. The function should return an array of heights to be used for each of the c_ij.

• Only values {x_i, y_i} that consist of real numbers are assigned to bins; others are taken to be missing.

• In Histogram3D[{data₁, data₂, ...}, ...], automatic bin locations are determined by combining all the datasets data_i.

• Histogram3D[{..., w_i[data_i, ...], ...}, ...] renders the histogram elements associated with dataset data_i according to the specification defined by the symbolic wrapper w_i.

• Possible symbolic wrappers are the same as for BarChart3D, and include Style, Labeled, Legended, etc.

• Histogram3D has the same options as Graphics3D with the following additions and changes:

• Possible settings for ChartLayout include "Overlapped" and "Stacked".

• The arguments supplied to ChartElementFunction are the bin region {{x_min, x_max}, {y_min, y_max}, {z_min, z_max}}, the bin values lists, and metadata {m₁, m₂, ...} from each level in a nested list of datasets.

• A list of built-in settings for ChartElementFunction can be obtained from ChartElementData["Histogram3D"].

• The argument supplied to ColorFunction is the height for each bin.

• Style and other specifications from options and other constructs in BarChart are effectively applied in the order ChartStyle, ColorFunction, Style and other wrappers, ChartElements and ChartElementFunction, with later specifications overriding earlier ones.