DeepAI AI Chat
Log In Sign Up

Keyboard Based Control of Four Dimensional Rotations

by   Akira Kageyama, et al.
Kobe University

Aiming at applications to the scientific visualization of three dimensional simulations with time evolution, a keyboard based control method to specify rotations in four dimensions is proposed. It is known that four dimensional rotations are generally so-called double rotations, and a double rotation is a combination of simultaneously applied two simple rotations. The proposed method can specify both the simple and double rotations by single key typings of the keyboard. The method is tested in visualizations of a regular pentachoron in four dimensional space by a hyperplane slicing.


page 1

page 2

page 3

page 4


A Visualization Method of Four Dimensional Polytopes by Oval Display of Parallel Hyperplane Slices

A method to visualize polytopes in a four dimensional euclidian space (x...

Equipartitions with Wedges and Cones

A famous result about mass partitions is the so called Ham-Sandwich theo...

A Spectral Method for Assessing and Combining Multiple Data Visualizations

Dimension reduction and data visualization aim to project a high-dimensi...

Navigating Higher Dimensional Spaces using Hyperbolic Geometry

Higher-dimensional spaces are ubiquitous in applications of mathematics....

Efficient Continuous Control with Double Actors and Regularized Critics

How to obtain good value estimation is one of the key problems in Reinfo...

Double arcsine transform not appropriate for meta-analysis

The variance-stabilizing Freeman-Tukey double arcsine transform was orig...

Evaluation of binomial double sums involving absolute values

We show that double sums of the form ∑_i,j=-n ^n |i^sj^t(i^k-j^k)^β| 2n...