March 14, 2025
Description
All 92 Escher-Johnson polyknots inspired by MC Escher and modeled on the Johnson solids. Complete set
Key to the Escher-Johnson polyknots:
J1: square pyramid
J2: pentagonal pyramid
J3: triangular cupola
J4: square cupola
J5: pentagonal cupola
J6: pentagonal rotunda
J7: elongated triangular pyramid
J8: elongated square pyramid
J9: elongated pentagonal pyramid
J10: gyroelongated square pyramid
J11: gyroelongated pentagonal pyramid
J12: triangular dipyramid
J13: pentagonal dipyramid
J14: elongated triangular dipyramid
J15: elongated square dipyramid
J16: elongated pentagonal dipyramid
J17: gyroelongated square dipyramid
J18: elongated triangular cupola
J19: elongated square cupola
J20: elongated pentagonal cupola
J21: elongated pentagonal rotunda
J22: gyroelongated triangular cupola
J23: gyroelongated square cupola
J24: gyroelongated pentagonal cupola
J25: gyroelongated pentagonal rotunda
J26: gyrobifastigium
J27: triangular orthobicupola
J28: square orthobicupola
J29: square gyrobicupola
J30: pentagonal orthobicupola
J31: pentagonal gyrobicupola
J32: pentagonal orthocupolarotunda
J33: pentagonal gyrocupolarotunda
J34: pentagonal orthobirotunda
J35: elongated triangular orthobicupola
J36: elongated triangular gyrobicupola
J37: elongated square gyrobicupola
J38: elongated pentagonal orthobicupola
J39: elongated pentagonal gyrobicupola
J40: elongated pentagonal orthocupolarotunda
J41: elongated pentagonal gyrocupolarotunda
J42: elongated pentagonal orthobirotunda
J43: elongated pentagonal gyrobirotunda
J44: gyroelongated triangular bicupola
J45: gyroelongated square bicupola
J46: gyroelongated pentagonal bicupola
J47: gyroelongated pentagonal cupolarotunda
J48: gyroelongated pentagonal birotunda
J49: augmented triangular prism
J50: biaugmented triangular prism
J51: triaugmented triangular prism
J52: augmented pentagonal prism
J53: biaugmented pentagonal prism
J54: augmented hexagonal prism
J55: parabiaugmented hexagonal prism
J56: metabiaugmented hexagonal prism
J57: triaugmented hexagonal prism
J58: augmented dodecahedron
J59: parabiaugmented dodecahedron
J60: metabiaugmented dodecahedron
J61: triaugmented doecahedron
J62: metabidiminished icosahedron
J63: tridiminished icosahedron
J64: augmented tridiminished icosahedron
J65: augmented truncated tetrahedron
J66: augmented truncated cube
J67: biaugmented truncated cube
J68: augmented truncated dodecahedron
J69: parabiaugmented truncated dodecahedron
J70: metabiaugmented truncated dodecahedron
J71: triaugmented truncated dodecahedron
J72: gyrate rhombicosidodecahedron
J73: paragyrate rhombicosidodecahedron
J74: metabigyrate rhombicosidodecahedron
J75: trigyrate rhombicosidodecahedron
J76: diminished rhombicosidodecahedron
J77: paragyrate diminished rhombicosidodecahedron
J78: metagyrate diminished rhombicosidodecahedron
J79: bigyrate diminished rhombicosidodecahedron
J80: parabidiminished rhombicosidodecahedron
J81: metabidiminished rhombicosidodecahedron
J82: gyrate bidiminished rhombicosidodecahedron
J83: tridiminished rhombicosidodecahedron
J84: snub disphenoid
J85: snub square antiprism
J86: sphenocorona
J87: augmented sphenocorona
J88: sphenomegacorona
J89: hebeshenomegacorona
J90: disphenocingulum
J91: bilunabirotunda
J92: triangular hebesphenorotunda
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