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Net In geometry , the elongated pentagonal cupola is one of the Johnson solids ( J 20 ). As the name suggests, it can be constructed by elongating a pentagonal cupola ( J 5 ) by attaching a decagonal prism to its base.
Net In geometry , the gyroelongated pentagonal cupola is one of the Johnson solids ( J 24 ). As the name suggests, it can be constructed by gyroelongating a pentagonal cupola ( J 5 ) by attaching a decagonal antiprism to its base.
As the name suggests, it can be constructed by elongating a pentagonal gyrobicupola (J 31) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal cupolae ( J 5 ) through 36 degrees before inserting the prism yields an elongated pentagonal orthobicupola ( J 38 ).
Nonagonal prism: Enneagonal antiprism: Gyroelongated triangular bicupola: Elongated triangular orthobicupola: Elongated triangular gyrobicupola: rhombocuboctohedron 19 20 Dodecahedron: Pentagonal rotunda: Elongated square cupola: Gyroelongated square cupola: Pentagonal orthobicupola: Pentagonal gyrobicupola: Decagonal prism: Decagonal antiprism ...
Net In geometry , the elongated pentagonal orthobicupola or cantellated pentagonal prism is one of the Johnson solids ( J 38 ). [ 1 ] As the name suggests, it can be constructed by elongating a pentagonal orthobicupola ( J 30 ) by inserting a decagonal prism between its two congruent halves.
The pentagonal cupola can be applied to construct a polyhedron.A construction that involves the attachment of its base to another polyhedron is known as augmentation; attaching it to prisms or antiprisms is known as elongation or gyroelongation.
In geometry, the dodecagonal prism is the tenth in an infinite set of prisms, formed by square sides and two regular dodecagon caps. If faces are all regular, it is a uniform polyhedron . Use
As the name suggests, it can be constructed by elongating a pentagonal orthocupolarotunda (J 32) by inserting a decagonal prism between its halves. Rotating either the cupola or the rotunda through 36 degrees before inserting the prism yields an elongated pentagonal gyrocupolarotunda ( J 41 ).