# Bspline solids manipulation with Mathematica

## TL;DR

This paper introduces a new Mathematica program for the computation and graphical manipulation of Bspline solids, filling a gap in existing tools which only handle curves and surfaces.

## Contribution

The paper presents a novel Mathematica implementation for Bspline solids manipulation, enabling graphical editing and computation of these 3D objects.

## Key findings

- The program produces consistent Bspline solids with Mathematica's notation.
- Illustrative examples demonstrate the program's effectiveness.
- The tool enhances modeling capabilities for 3D objects in Mathematica.

## Abstract

Bspline solids are used for solid objects modeling in R3. Mathematica incorporates a several commands to manipulate symbolic and graphically Bspline basis functions and to graphically manipulate Bsplines curves and surfaces; however, it does not incorporate any command to the graphical manipulation of Bspline solids. In this paper, we describe a new Mathematica program to compute and plotting the Bspline solids. The output obtained is consistent with Mathematica's notation. The performance of the commands are discussed by using some illustrative examples.