Abstract
This chapter discusses the congruence order of the elliptic plane. The congruence order of the n-dimensional hyperbolical space and of the n-dimensional spherical space is also π + 3. It is, however, easily seen that the congruence order of the elliptic plane I2 is at least seven. A metric space M with more than 6 points, for which the distance of every pair of different points equals d, has the property that every subset of 6 points is congruent with 6 points of I2, whereas M is not congruent with a subset of I2. This shows that the congruence order of I2 is at least 7.
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