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Within the context of loop quantum gravity there are several operators whichmeasure geometry quantities. This work examines two of these operators, volumeand angle, to study quantum geometry at a single spin network vertex - ``anatom of geometry.'' Several aspects of the angle operator are examined indetail including minimum angles, level spacing, and the distribution of angles.The high spin limit of the volume operator is also studied for monochromaticvertices. The results show that demands of the correct scaling relationsbetween area and volume and requirements of the expected behavior of angles inthree dimensional flat space require high-valence vertices with total spins ofapproximately 10^20.Comment: 18 pages, 11 figure

Modelling space with an atom of quantum geometry