Elongated pyramids
In the gyroelongated triangular pyramid, three pairs of adjacent triangles are coplanar and form non-square rhombi, so it is not a Johnson solid.
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Elongated Triangular Pyramid (J7)
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Elongated Square Pyramid (J8)
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Elongated Pentagonal Pyramid (J9)
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Gyroelongated Square Pyramid (J10)
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Gyroelongated Pentagonal Pyramid (J11)