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gyrobifastigium
In geometry, the gyrobifastigium is the 26th Johnson solid (''J''26). It can be constructed by joining two face-regular triangular prisms along corresponding square faces, giving a quarter-turn to one prism.〔.〕 It is the only Johnson solid that can tile three-dimensional space.〔〔
==History and name==
The name of the gyrobifastigium comes from the Latin ''fastigium'', meaning a sloping roof.〔.〕 In the standard naming convention of the Johnson solids, ''bi-'' means two solids connected at their bases, and ''gyro-'' means the two halves are twisted with respect to each other.
The gyrobifastigium's place in the list of Johnson solids, immediately before the bicupolas, is explained by viewing it as a ''digonal gyrobicupola''. Just as the other regular cupolas have an alternating sequence of squares and triangles surrounding a single polygon at the top (triangle, square or pentagon), each half of the gyrobifastigium consists of just alternating squares and triangles, connected at the top only by a ridge.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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