, Mathematical recreations and Essays, Thirteenth edition, p | There are 3 dihedral subgroups: Dih 3, Dih 2, and Dih 1, and 4 subgroups: Z 6, Z 3, Z 2, and Z 1 |
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Each subgroup symmetry allows one or more degrees of freedom for irregular forms | labels these by a letter and group order |
This means that honeycombs require less to construct and gain lots of strength under.
27In three dimensions, with parallel opposite faces are called and these can tessellate 3-space by translation | The i4 forms are regular hexagons flattened or stretched along one symmetry direction |
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9, ISBN 9780521098595 , , retrieved on 2015-11-06 | It is , meaning that it is both has a circumscribed circle and has an inscribed circle |
It follows from the ratio of to that the height-to-width ratio of a regular hexagon is 1:1.
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