61-Cell Hexagonal Gaming Board (Carbon Atom Structure)
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61-Cell Hexagonal Gaming Board (Carbon Atom Structure)[edit]
The following is a theoretical representation of the smallest possible 61-cell hexagonal gaming board constructed from carbon atoms.
| Layer 1 (Top View) | ||||||
|---|---|---|---|---|---|---|
| C | C | C | C | C | C | C |
| C | 1 | 2 | 3 | 4 | 5 | C |
| C | 6 | 7 | 8 | 9 | 10 | C |
| C | 11 | 12 | 13 | 14 | 15 | C |
| C | 16 | 17 | 18 | 19 | 20 | C |
| C | 21 | 22 | 23 | 24 | 25 | C |
| C | C | C | C | C | C | C |
Properties[edit]
- Atoms: 61 carbon atoms arranged in hexagonal symmetry
- Bonding: Each C atom forms 3 covalent bonds (sp2 hybridization)
- Dimensions: ~1.42 Å bond length, ~2.46 Å lattice constant
- Game Cells: 25 playable positions (numbered) with 36 border atoms
Note: This is a conceptual model. Actual carbon nanostructures require stabilization mechanisms.
