Keyboard Based Control of Four Dimensional Rotations

TL;DR

This paper introduces a keyboard-based control method for specifying four-dimensional rotations, including double rotations, to aid scientific visualization of 3D simulations with time evolution.

Contribution

It presents a novel, user-friendly keyboard control technique for both simple and double rotations in four dimensions, facilitating visualization tasks.

Findings

Successfully visualized a 4D pentachoron using the method.

Enabled intuitive specification of complex 4D rotations.

Demonstrated practical application in scientific visualization.

Abstract

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.