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61-Cell Hexagonal Gaming Board (Carbon Atom Structure)
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== 61-Cell Hexagonal Gaming Board (Carbon Atom Structure) == The following is a theoretical representation of the smallest possible 61-cell hexagonal gaming board constructed from carbon atoms. {| class="wikitable" style="text-align:center; margin:auto;" |+ '''Carbon Atom Hexagonal Grid''' |- ! colspan="7" | Layer 1 (Top View) |- | style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C |- | style="background:#d0d0d0;" | C || style="background:#f0f0f0;" | 1 || style="background:#f0f0f0;" | 2 || style="background:#f0f0f0;" | 3 || style="background:#f0f0f0;" | 4 || style="background:#f0f0f0;" | 5 || style="background:#d0d0d0;" | C |- | style="background:#d0d0d0;" | C || style="background:#f0f0f0;" | 6 || style="background:#f0f0f0;" | 7 || style="background:#f0f0f0;" | 8 || style="background:#f0f0f0;" | 9 || style="background:#f0f0f0;" | 10 || style="background:#d0d0d0;" | C |- | style="background:#d0d0d0;" | C || style="background:#f0f0f0;" | 11 || style="background:#f0f0f0;" | 12 || style="background:#f0f0f0;" | 13 || style="background:#f0f0f0;" | 14 || style="background:#f0f0f0;" | 15 || style="background:#d0d0d0;" | C |- | style="background:#d0d0d0;" | C || style="background:#f0f0f0;" | 16 || style="background:#f0f0f0;" | 17 || style="background:#f0f0f0;" | 18 || style="background:#f0f0f0;" | 19 || style="background:#f0f0f0;" | 20 || style="background:#d0d0d0;" | C |- | style="background:#d0d0d0;" | C || style="background:#f0f0f0;" | 21 || style="background:#f0f0f0;" | 22 || style="background:#f0f0f0;" | 23 || style="background:#f0f0f0;" | 24 || style="background:#f0f0f0;" | 25 || style="background:#d0d0d0;" | C |- | style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C || style="background:#d0d0d0;" | C |} === Properties === * '''Atoms''': 61 carbon atoms arranged in hexagonal symmetry * '''Bonding''': Each C atom forms 3 covalent bonds (sp<sup>2</sup> hybridization) * '''Dimensions''': ~1.42 Γ bond length, ~2.46 Γ lattice constant * '''Game Cells''': 25 playable positions (numbered) with 36 border atoms <small>''Note: This is a conceptual model. Actual carbon nanostructures require stabilization mechanisms.''</small>
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