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26 apr 2017 · How can we visualize the 4-dimensional hypercube? To use stereographic projection, we radially project the edges of a 3D cube (left of the image below) to the surface of a sphere to form a “beach ball cube” (right).
- Mathematics
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- Forward Together
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- Science Communication & Education
We stop at the Unity monument, built in the 1920s soon after...
- Engineering
Throughout these years Roy was able to explore and...
- Lecture
The COVID-19 pandemic sometimes feels like a problem we...
- Genetics/Genomics
Here, the sample in column 1 on the rightmost panel matches...
- Mathematics
- Visualize 4-D Data with One Discrete Variable
- Visualize 4-D Data with Multiple Plots
- Visualize Function of Three Variables
- Visualize Data in A Volume
- Plot The Function of A Complex Variable
Sometimes data has a variable which is discrete with only a few possible values. You can create multiple plots of the same type for data in each discrete group. For example, use the stem3function to see the relationship between three variables where the fourth variable divides the population into discrete groups.
With a large data set you might want to see if individual variables are correlated. You can use the plotmatrix function to create an n by n matrix of plots to see the pair-wise relationships between the variables. The plotmatrixfunction returns two outputs. The first output is a matrix of the line objects used in the scatter plots. The second is a ...
For many kinds of four dimensional data, you can use color to represent the fourth dimension. This works well if you have a function of three variables. For example, represent highway deaths in the United States as a function of longitude, latitude, and if the location is rural or urban. The x, y, and zvalues in the plot represent these three varia...
Your data may contain a measured value for a physical object such as temperature in a pipe. In this cases, the physical dimensions can be represented as a volume with color used to represent the magnitude of the measurement. For example, use the slicefunction to show the value of the measured variable at cross-sections within the volume.
A complex function has an input with real and imaginary parts and an output with real and imaginary parts. You can use a three dimensional plot with color to represent the complex function. In this case the x and y axes represent the real and imaginary parts of the input. The zaxis represents the real part of the output and the color represents the...
One way to visualize data in four dimensions is to use depth and hue as specific data dimensions in a conventional plot like a scatter plot. Visualizing data in four-dimensions leveraging scatter plots and the concept of hue and depth
- Dipanjan (DJ) Sarkar
22 ago 2008 · Mathematicians create videos that help in visualizing four-dimensional objects. By Julie Rehmeyer. August 22, 2008 at 4:46 pm. Three dimensions can be so limiting. FLATLANDERS Visualizing three...
Take a look at the productplots package in R, also vcd has some reasonable functions, or the ggparallel package to do the equivalent of parallel coordinate plots for categorical data. Also, just found the extracat package has some functions for displaying categorical data.
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.
11 dic 2018 · One way to visualize data in four dimensions is to use depth and hue as specific data dimensions in a conventional plot like a scatter plot. Visualizing data in four-dimensions leveraging scatter...
