# Some inequalities for tetrahedra

**Authors:** Jin-ichi Itoh, Jo\"el Rouyer, Costin V\^ilcu

arXiv: 1906.11965 · 2019-07-01

## TL;DR

This paper establishes new inequalities relating the intrinsic and extrinsic geometric measures such as radii and diameters of tetrahedra, enhancing understanding of their geometric properties.

## Contribution

It introduces novel inequalities connecting intrinsic and extrinsic radii and diameters specifically for tetrahedra, expanding geometric inequality theory.

## Key findings

- Derived inequalities linking radii and diameters of tetrahedra
- Provided bounds for intrinsic and extrinsic geometric measures
- Enhanced understanding of tetrahedral geometry

## Abstract

We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.

## Full text

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## Figures

2 figures with captions in the complete paper: https://tomesphere.com/paper/1906.11965/full.md

## References

15 references — full list in the complete paper: https://tomesphere.com/paper/1906.11965/full.md

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Source: https://tomesphere.com/paper/1906.11965