The real projective plane, like the Klein bottle, cannot be embedded in three-dimensions without self-intersections. For scale, the strip of paper is 11 inches long, the long edge of a U. Permission Reusing this file. However, there are three surfaces that are representations of the projective plane in with self-intersections, namely the Boy surfacecross-capand Roman surface. Infants Children Teenagers 20s 30s 40s 50s 60s Older. A closely related 'strange' geometrical object is the Klein bottle.
Pattern geometric seamless simple monochrome minimalistic pattern of impossible shapes, rounds.
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Something went wrong, please try again. Each choice of such a projection point results in an image that is congruent to any other. Views Read Edit View history. Set of monochrome icons with Infinity symbols. Infinity spiral sign isolated on white background. Yet this version of the stereographic image has a group of 4 symmetries in R 3 it is isomorphic to the Klein 4-groupas compared with the bounded version illustrated above having its group of symmetries the unique group of order 2.