Questions tagged [visualization]
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12 questions with no upvoted or accepted answers
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Visualization and new geometry in higher stacks
I am trying to develop a geometrical intuition for "higher spaces", i.e. both in the sense of higher dimensional spaces (more than three dimensions) and in the sense of abstractions beyond ...
8
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What is the nicest bijection $\textbf{R}^p \to \textbf{R}^q$ that you know?
It is well-known that bijection between $\textbf{R}^p$ and $\textbf{R}$ exist (e.g. here, though many other examples exist).
The problem with all these examples of bijections is that typically the ...
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Visualization of an algebraic stack
As the visuallization of an algebraic stack is virtually impossible I warn about this is a soft question.
I am interested in thinking visually about algebraic stacks (also higher and derived stacks, ...
3
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Visualization of hidden structures in numbers
[Please allow me a note: The way desribed below allows to depict functions $f:X^2 \rightarrow Y$ completely in two dimensions (without hiding or omitting any information). This allows for depicting ...
2
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Visualisation of general 3x3 matrices, with applications to the pedagogy of linear algebra?
I've got a method for visualising non-zero $2 \times 2$ real matrices (modulo non-zero scalar factor) using the fact that:
Nonnegative determinant matrices (modulo non-zero scalar factor) are in 1-to-...
1
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Astonishing affinity of Wolfram's rule 110 to the numbers 2 and 7
I investigated the evolution of a single black cell on 1-dimensional grids with periodic boundary conditions of variable sizes $N$ under Wolfram's rule 110 which is the only one for which Turing ...
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Barycentric coordinates of weighted edges
Given $K_n$ with weighted edges, we can fix an edge $e_{AB}$, iterate over all non-adjacent edges $e_{CD}\in E\setminus e_{AD}$ and record how often $e_{AB}$ was in the lightest, intermediate or ...
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Methods for useful visualisations of complete weighted graphs
Question:
which methods for visualising complete weighted and symmetric graphs, i.e. $K_n$, are useful in the sense that they can aid in mathematical research?
The Traveling Salesman Problem may ...
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Imagining linear maps between finite fields
I can't imagine a right picture of a linear transformation $\mathbb{F}_{p} \mapsto \mathbb{F}_p$ or $\mathbb{F}_{p^2} \rightarrow \mathbb{F}_{p^2}$ etc (over the field $\mathbb{F}_p$) although they ...
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Open volumetric time series data set
Does anyone know where I can find a good open volumetric time series data set?
I had a look at some of Stanford's open data sets (https://graphics.stanford.edu/data/voldata/ )
But these do not seem ...
1
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What is the state of the art of visualizing bifurcations for "difficult" dynamical systems?
This question is related to my other recent question on MO (although I am not confident that the dynamical system described in that other question is actually "difficult," in the sense that I will ...
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Possible shifts in finite elementary cellular automata
I investigated the long term behaviour of a pair of black cells ■■ on a circle of $N$ cells under the action of each of Wolfram's rules $R$. For each combination $(R,N)$ I determined the first ...