# Questions tagged [visualization]

For questions about visualizing mathematical concepts. This includes questions about visualization of mathematical theorems and proofs without words.

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Is it possible to get any (radius) vector in 3D using only 1 fixed radius vector and all possible radius vectors? (Of course, every vector we get can be translated so that its starting point is at ...
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### What are the most interesting math riddles you know?

I am talking about riddles that do not involve play on words. The riddles should be logically and mathematically correct too.
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### Is there any way to visualize Ring structure using Cayley digraph?

In Nathan Carter's Visual group theory there is a nice description of how to explore group structure through Cayley digraph and how the structures reflect themselves in Cayley tables.For example ...
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### Phase diagram for empirical data

The behaviour of partial or ordinary differential equations can be studied/visualized with phase diagrams. How would one plot such diagrams for empirical data, which are suspected to be governed by ...
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### Visualizing derivative of a matrix-valued function of a matrix variable

Apologies if this is not at an appropriate level for this site or if it's too broad/scrambled of a question, but I was wondering how best to visualize a matrix-valued function of a matrix variable? ...
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### Examples of problems/proofs which can be (surprisingly) represented in terms of graphs

I am looking for examples of problems or proofs in mathematics which have a equivalent representation in terms of graphs, which makes solving the problem easier. For example, the problem of finding ...
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### Is there visual or intuitive explanation of equations of conic sections defined in traditional way?

Is there purely visual and intuitive approach for equations of conic sections using traditional definitions of ellipse (constant sum of distances from two foci), hyperbola (constant difference of ...
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### How can this graph of the relationships among types of commutative rings be improved?

I made a directed graph in order to get a better understanding of the relationships between various types of commutative rings. Since I’m not very well versed in ring theory, I’m sure it ...
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### minimum number of congruent rectangles

consider a 6*6 square which is dissected into 9 rectangles by lines parallel to its sides such that all the rectangles have integral sides.the question is - what is the minimum number of congruent ...
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### Visualizing split extensions and central extensions

This may be a bit of a silly question, but I think it is useful to get a visual idea of the concept of group extensions. A short exact sequence $1 \to A \overset{i}{\to} B \overset{\pi}{\to} C \to 1$ ...
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### How can I generalize diagram proving Mean Value Theorem to Generalized MVT, without assuming any function as a straight line?

Calculus: The Language Of Change (2005) by David W. Cohen, James M. Henle. pp. 827-829. The original colored in just blue. I annotated and added more colors. I can't recall which page presents the ...
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### arbitrary transformation of data between linear and log-like scales

[I'm not very sure on how to formulate this question (or if it belongs here btw), so apologies in advance and I'd be happy to get feedback on other sites this question may fit better] Suppose that I ...
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### is there something like the stem-and-leaf plot for timeseries?

When wanting to quickly take a look at the distribution of a sequence of values, the stem-and-leaf plot is an incredibly simple, yet powerful tool. It takes a few minutes to teach the computer to draw ...
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