The heptakisoctahedral group and its relevance to carbon allotropes with negative curvature
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Publication:1977945
DOI10.1023/A:1019129827020zbMath0992.92042OpenAlexW1272639097MaRDI QIDQ1977945
Publication date: 7 June 2000
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1019129827020
Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Structure and classification of infinite or finite groups (20E99)
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\(PSL\left( 2,7\right) \) and carbon allotrope \(D\)168 schwarzite ⋮ Design of designs ⋮ The group-theoretical structure of the atomic \(g\) shell: connection with the alternating group \(A_6\) as \(L_2(9)\) ⋮ The undecakisicosahedral group and a 3-regular carbon network of genus 26 ⋮ From the cube to the Dyck and Klein tessellations: implications for the structures of zeolite-like carbon and boron nitride allotropes ⋮ The chirality of icosahedral fullerenes: a comparison of the tripling (leapfrog), quadrupling (chamfering), and septupling (capra) transformations
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