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In geometry, the augmented tridiminished icosahedron is a composite convex polyhedron with regular faces, a Johnson solid. It can be obtained by joining a regular tetrahedron to another Johnson solid, the tridiminished icosahedron. The resulting polyhedron has seven equilateral triangular and three regular pentagonal faces. It is the only Johnson solid constructed with augmentation and diminishment. Out of 92 solids, the augmented tridiminished icosahedron is listed as 64th Johnson solid .
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