TetraHedra
1. Summary
- Description
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TetraHedra: The Representation of the Tetrahedral Structure
TetraHedra: The Representation of the Tetrahedral Structure
TetraHedra is a project that represents a geometric structure known as a tetrahedron. A tetrahedron is a polyhedron consisting of four triangular faces, six edges, and four vertices. It is found in various fields of mathematics, physics, and geometry, often serving as a fundamental building block for more complex structures.
Understanding the Tetrahedral Representation
A tetrahedron can be described by its six edges, labeled as a, b, c, d, e, and f. These edges can form Euclidean, Minkowskian, or flat shapes, depending on the sign of a polynomial in its edge lengths. This structure is often visualized using Penrose's spin network calculus, where the tetrahedron is drawn with its edges connecting at each vertex.
Tetrahedra also have practical applications in Wolfram Language, where they can be represented using the
Tetrahedron[]command. This representation allows for various options such as changing edge lengths, rotations, and centers.Classic 6j-Symbols and Geometric Significance
A significant property of tetrahedra is their connection to the 6j-symbols, which are real numbers associated with the labelling of a tetrahedron by irreducible representations. These symbols have an important role in quantum mechanics and group theory, and their properties are a key area of research. The 6j-symbols have been studied extensively in the context of geometric quantization, demonstrating their deep connection to the geometry of R3.
Compound Tetrahedra
Tetrahedra can also be combined to form more complex structures, such as the compound of five tetrahedra. This structure has been characterized mathematically, having a chiral icosahedral symmetry and sharing the same vertex arrangement as a regular dodecahedron. It also exhibits unique properties like being self-dual and having an unusual dual property where the faces dualize to vertices
Applications and Properties
TetraHedra has a wide range of applications across various fields. These include:
- Tetrahedral numbers: finding the sum of triangular numbers and their significance in number theory.
- Polyhedral compounds: describing the geometric structures formed by the combination of tetrahedra.
- Quantum mechanics: the use of 6j-symbols in the study of SU(2) representation theory.
TetraHedra showcases the intricate properties and connections of tetrahedral structures across different areas of mathematics and physics.
| Price | |
| 52W High price | $0.04 |
| 52W High date | 24th Sep 2021 (3 years ago) |
| All Time High (ATH) Date | 28th Jan 2025 (3 weeks ago) |
| All Time Low (ATL) Date | 28th Jan 2025 (3 weeks ago) |
| Supply & Trading Volume | |
| Trading Volume (24h) | $3,928.00 |
How does TetraHedra's () performance compare to the median performance for assets of a similar market capitalization?
30 Day Return
%
51,626.9%
Similar Market Cap
No GitHub repos found. Either the project is not open source or we don't have data yet.
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Historic data is only available from 22nd April 2022
Total Followers
| Reddit Subscribers | |
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| Active Reddit Users (past 24h) | |
| Discord users | |
| Active Discord Users | |
| Telegram Users | 1,128 |
| Twitter followers | 2,132 |
No recent news found.
Always do your own research (DYOR) before making any investment. Here's some links you might find helpful:
| Website | https://www.tetra-hedra.com/ |
|---|---|
| Explorer | https://bscscan.com/token/0xf19b09da89722f0a6960f9... |
| @TetraHedraTTH |
What is the correct contract address for TetraHedra?
| Binance-smart-chain | 0xf19b09da89722f0a6960f9bf9701a63ae891603a |
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Has TetraHedra been audited for security?
No security audits found for this project.
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