# LinKnot

> software and database of knot properties

**Wikidata**: [Q123177535](https://www.wikidata.org/wiki/Q123177535)  
**Source**: https://4ort.xyz/entity/linknot

## Summary
LinKnot is a software application and database designed for the study and classification of mathematical knots. It functions as a digital knot table, providing users with computational tools to analyze specific knot properties. The software serves as a companion resource to the academic work *LinKnot: Knot Theory by Computer*.

## Key Facts
- **Instance of:** Software, Database, Knot Table
- **Primary Authors:** Slavik Jablan, Radmila Sazdanovic
- **Associated Contributors:** M. Ochiai, N. Imafji (listed as author name strings)
- **Described by Source:** *LinKnot: Knot Theory by Computer*
- **Primary Function:** Provides a database of knot properties and executable components for knot theory computation
- **Official Website:** https://www.mi.sanu.ac.rs/vismath/linknot/

## FAQs
### Q: What exactly is LinKnot?
A: LinKnot is both a software tool and a database used for mathematical research, specifically in knot theory. It allows for the computational analysis and tabulation of knot properties.

### Q: Who created LinKnot?
A: The software and database are authored by Slavik Jablan and Radmila Sazdanovic. Academic data also associates M. Ochiai and N. Imafji with the project's authorship strings.

### Q: Is there a book associated with this software?
A: Yes, the software is described by and associated with the source titled *LinKnot: Knot Theory by Computer*.

## Why It Matters
LinKnot represents a significant intersection of abstract mathematics and computer science, specifically within the field of topology. By digitizing knot tables and property databases, it solves the problem of manual calculation and classification, which can be highly complex and prone to human error in higher-order knot theory. The tool facilitates the exploration of mathematical invariants and knot characteristics, serving as an essential utility for researchers and students alike.

The software bridges the gap between theoretical concepts and practical application. As an executable component, it allows users to experiment with knot constructions and derivations dynamically rather than relying solely on static diagrams. Its association with the comprehensive text *LinKnot: Knot Theory by Computer* further solidifies its role as an educational and research standard, providing a structured pathway for learning and discovery in the visualization of mathematics.

## Notable For
- **Integrated Platform:** Combines a comprehensive database of knots with functional software in a single environment.
- **Academic Foundation:** Serves as the practical implementation of the methodologies described in *LinKnot: Knot Theory by Computer*.
- **Visualization Focus:** Hosted on the "Visual Mathematics" domain, indicating a focus on the graphical representation of topological data.
- **Specific Domain:** Targets the niche field of knot theory, offering specialized data not found in general mathematical software.

## Body
### Nature and Classification
LinKnot is classified as a non-tangible executable component of a computer system, falling strictly under the categories of software and databases. Its primary specialization is "Knot Table," indicating its function as a structured collection of data regarding different types of mathematical knots.

### Authorship and Collaboration
The development of LinKnot is credited to a collaboration between mathematicians and computer scientists. The primary entities recognized as authors are **Slavik Jablan** and **Radmila Sazdanovic**. Additional metadata associated with the project lists **M. Ochiai** and **N. Imafji** as contributors within the authorship strings, suggesting a collaborative effort in the compilation of the database or the underlying code.

### Source and Documentation
The software is intrinsically linked to the publication *LinKnot: Knot Theory by Computer*. This source serves as the primary documentation and theoretical foundation for the database. The software effectively functions as the digital laboratory for the concepts presented in this work.

### Accessibility
The project is publicly accessible via its official web portal hosted by the Mathematical Institute of the Serbian Academy of Sciences and Arts. It can be accessed at `https://www.mi.sanu.ac.rs/vismath/linknot/`.