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1.618, Typeset`show$$ = True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"", Typeset`specs$$ = {{{ Hold[$CellContext`aff$$], 1.6, "central polyhedron size"}, 0.3, 3.5}, {{ Hold[$CellContext`dia$$], 1.2, "sphere size"}, 0.3, 5}, {{ Hold[$CellContext`up$$], 1.618, "move polyhedra up"}, 0.1, 8}, {{ Hold[$CellContext`poly$$], "Icosahedron", "what"}, { "Cube" -> "cube", "Dodecahedron" -> "dodecahedron", "Icosahedron" -> "icosahedron", "Octahedron" -> "octahedron", "Tetrahedron" -> "tetrahedron", Delimiter, "Cuboctahedron" -> "cuboctahedron", "GreatRhombicosidodecahedron" -> "great rhombicosidodecahedron", "GreatRhombicuboctahedron" -> "great rhombicuboctahedron", "Icosidodecahedron" -> "icosidodecahedron", "SmallRhombicosidodecahedron" -> "small rhombicosidodecahedron", "SmallRhombicuboctahedron" -> "small rhombicuboctahedron", "SnubCube" -> "snub cube", "SnubDodecahedron" -> "snub dodecahedron", "TruncatedCube" -> "truncated cube", "TruncatedDodecahedron" -> "truncated dodecahedron", "TruncatedIcosahedron" -> "truncated icosahedron", "TruncatedOctahedron" -> "truncated octahedron", "TruncatedTetrahedron" -> "truncated tetrahedron", Delimiter, "DeltoidalHexecontahedron" -> "deltoidal hexecontahedron", "DeltoidalIcositetrahedron" -> "deltoidal icositetrahedron", "DisdyakisDodecahedron" -> "disdyakis dodecahedron", "DisdyakisTriacontahedron" -> "disdyakis triacontahedron", "PentagonalHexecontahedron" -> "pentagonal hexecontahedron", "PentagonalIcositetrahedron" -> "pentagonal icositetrahedron", "PentakisDodecahedron" -> "pentakis dodecahedron", "RhombicDodecahedron" -> "rhombic dodecahedron", "RhombicTriacontahedron" -> "rhombic triacontahedron", "SmallTriakisOctahedron" -> "small triakis octahedron", "TetrakisHexahedron" -> "tetrakis hexahedron", "TriakisIcosahedron" -> "triakis icosahedron", "TriakisTetrahedron" -> "triakis tetrahedron", Delimiter, "GreatDodecahedron" -> "great dodecahedron", "GreatIcosahedron" -> "great icosahedron", "GreatStellatedDodecahedron" -> "great stellated dodecahedron", "SmallStellatedDodecahedron" -> "small stellated dodecahedron", Delimiter, {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "Tetrahedron" -> "tetrahedron", Delimiter, {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Octahedron" -> "octahedron", Delimiter, "Cube" -> "cube", {"Prism", 3} -> "triangular prism", {"Prism", 5} -> "pentagonal prism", {"Prism", 6} -> "hexagonal prism", {"Prism", 7} -> "heptagonal prism", {"Prism", 8} -> "octagonal prism", {"Prism", 9} -> "nonagonal prism", {"Prism", 10} -> "decagonal prism", Delimiter, {"Antiprism", 4} -> "square antiprism", {"Antiprism", 5} -> "pentagonal antiprism", {"Antiprism", 6} -> "hexagonal antiprism", {"Antiprism", 7} -> "heptagonal antiprism", {"Antiprism", 8} -> "octagonal antiprism", {"Antiprism", 9} -> "nonagonal antiprism", {"Antiprism", 10} -> "decagonal antiprism", "Octahedron" -> "octahedron", Delimiter, "AugmentedDodecahedron" -> "augmented dodecahedron", "AugmentedHexagonalPrism" -> "augmented hexagonal prism", "AugmentedPentagonalPrism" -> "augmented pentagonal prism", "AugmentedSphenocorona" -> "augmented sphenocorona", "AugmentedTriangularPrism" -> "augmented triangular prism", "AugmentedTridiminishedIcosahedron" -> "augmented tridiminished icosahedron", "AugmentedTruncatedCube" -> "augmented truncated cube", "AugmentedTruncatedDodecahedron" -> "augmented truncated dodecahedron", "AugmentedTruncatedTetrahedron" -> "augmented truncated tetrahedron", "BiaugmentedPentagonalPrism" -> "biaugmented pentagonal prism", "BiaugmentedTriangularPrism" -> "biaugmented triangular prism", "BiaugmentedTruncatedCube" -> "biaugmented truncated cube", "BigyrateDiminishedRhombicosidodecahedron" -> "bigyrate diminished rhombicosidodecahedron", "Bilunabirotunda" -> "bilunabirotunda", "DiminishedRhombicosidodecahedron" -> "diminished rhombicosidodecahedron", {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Disphenocingulum" -> "disphenocingulum", "ElongatedPentagonalCupola" -> "elongated pentagonal cupola", "ElongatedPentagonalDipyramid" -> "elongated pentagonal dipyramid", "ElongatedPentagonalGyrobicupola" -> "elongated pentagonal gyrobicupola", "ElongatedPentagonalGyrobirotunda" -> "elongated pentagonal gyrobirotunda", "ElongatedPentagonalGyrocupolarotunda" -> "elongated pentagonal gyrocupolarotunda", "ElongatedPentagonalOrthobicupola" -> "elongated pentagonal orthobicupola", "ElongatedPentagonalOrthobirotunda" -> "elongated pentagonal orthobirotunda", "ElongatedPentagonalOrthocupolarotunda" -> "elongated pentagonal orthocupolarotunda", "ElongatedPentagonalPyramid" -> "elongated pentagonal pyramid", "ElongatedPentagonalRotunda" -> "elongated pentagonal rotunda", "ElongatedSquareCupola" -> "elongated square cupola", "ElongatedSquareDipyramid" -> "elongated square dipyramid", "ElongatedSquareGyrobicupola" -> "elongated square gyrobicupola", "ElongatedSquarePyramid" -> "elongated square pyramid", "ElongatedTriangularCupola" -> "elongated triangular cupola", "ElongatedTriangularDipyramid" -> "elongated triangular dipyramid", "ElongatedTriangularGyrobicupola" -> "elongated triangular gyrobicupola", "ElongatedTriangularOrthobicupola" -> "elongated triangular orthobicupola", "ElongatedTriangularPyramid" -> "elongated triangular pyramid", "GyrateBidiminishedRhombicosidodecahedron" -> "gyrate bidiminished rhombicosidodecahedron", "GyrateRhombicosidodecahedron" -> "gyrate rhombicosidodecahedron", "Gyrobifastigium" -> "gyrobifastigium", "GyroelongatedPentagonalBicupola" -> "gyroelongated pentagonal bicupola", "GyroelongatedPentagonalBirotunda" -> "gyroelongated pentagonal birotunda", "GyroelongatedPentagonalCupola" -> "gyroelongated pentagonal cupola", "GyroelongatedPentagonalCupolarotunda" -> "gyroelongated pentagonal cupolarotunda", "GyroelongatedPentagonalPyramid" -> "gyroelongated pentagonal pyramid", "GyroelongatedPentagonalRotunda" -> "gyroelongated pentagonal rotunda", "GyroelongatedSquareBicupola" -> "gyroelongated square bicupola", "GyroelongatedSquareCupola" -> "gyroelongated square cupola", "GyroelongatedSquareDipyramid" -> "gyroelongated square dipyramid", "GyroelongatedSquarePyramid" -> "gyroelongated square pyramid", "GyroelongatedTriangularBicupola" -> "gyroelongated triangular bicupola", "GyroelongatedTriangularCupola" -> "gyroelongated triangular cupola", "Hebesphenomegacorona" -> "hebesphenomegacorona", "MetabiaugmentedDodecahedron" -> "metabiaugmented dodecahedron", "MetabiaugmentedHexagonalPrism" -> "metabiaugmented hexagonal prism", "MetabiaugmentedTruncatedDodecahedron" -> "metabiaugmented truncated dodecahedron", "MetabidiminishedIcosahedron" -> "metabidiminished icosahedron", "MetabidiminishedRhombicosidodecahedron" -> "metabidiminished rhombicosidodecahedron", "MetabigyrateRhombicosidodecahedron" -> "metabigyrate rhombicosidodecahedron", "MetagyrateDiminishedRhombicosidodecahedron" -> "metagyrate diminished rhombicosidodecahedron", "ParabiaugmentedDodecahedron" -> "parabiaugmented dodecahedron", "ParabiaugmentedHexagonalPrism" -> "parabiaugmented hexagonal prism", "ParabiaugmentedTruncatedDodecahedron" -> "parabiaugmented truncated dodecahedron", "ParabidiminishedRhombicosidodecahedron" -> "parabidiminished rhombicosidodecahedron", "ParabigyrateRhombicosidodecahedron" -> "parabigyrate rhombicosidodecahedron", "ParagyrateDiminishedRhombicosidodecahedron" -> "paragyrate diminished rhombicosidodecahedron", "PentagonalCupola" -> "pentagonal cupola", "PentagonalGyrobicupola" -> "pentagonal gyrobicupola", "PentagonalGyrocupolarotunda" -> "pentagonal gyrocupolarotunda", "PentagonalOrthobicupola" -> "pentagonal orthobicupola", "PentagonalOrthobirotunda" -> "pentagonal orthobirotunda", "PentagonalOrthocupolarotunda" -> "pentagonal orthocupolarotunda", "PentagonalRotunda" -> "pentagonal rotunda", {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "SnubDisphenoid" -> "snub disphenoid", "SnubSquareAntiprism" -> "snub square antiprism", "Sphenocorona" -> "sphenocorona", "Sphenomegacorona" -> "sphenomegacorona", "SquareCupola" -> "square cupola", "SquareGyrobicupola" -> "square gyrobicupola", "SquareOrthobicupola" -> "square orthobicupola", "TriangularCupola" -> "triangular cupola", "TriangularHebesphenorotunda" -> "triangular hebesphenorotunda", "TriangularOrthobicupola" -> "triangular orthobicupola", "TriaugmentedDodecahedron" -> "triaugmented dodecahedron", "TriaugmentedHexagonalPrism" -> "triaugmented hexagonal prism", "TriaugmentedTriangularPrism" -> "triaugmented triangular prism", "TriaugmentedTruncatedDodecahedron" -> "triaugmented truncated dodecahedron", "TridiminishedIcosahedron" -> "tridiminished icosahedron", "TridiminishedRhombicosidodecahedron" -> "tridiminished rhombicosidodecahedron", "TrigyrateRhombicosidodecahedron" -> "trigyrate rhombicosidodecahedron"}}, {{ Hold[$CellContext`polyh$$], "TruncatedDodecahedron", "where"}, { "Cube" -> "cube", "Dodecahedron" -> "dodecahedron", "Icosahedron" -> "icosahedron", "Octahedron" -> "octahedron", "Tetrahedron" -> "tetrahedron", Delimiter, "Cuboctahedron" -> "cuboctahedron", "GreatRhombicosidodecahedron" -> "great rhombicosidodecahedron", "GreatRhombicuboctahedron" -> "great rhombicuboctahedron", "Icosidodecahedron" -> "icosidodecahedron", "SmallRhombicosidodecahedron" -> "small rhombicosidodecahedron", "SmallRhombicuboctahedron" -> "small rhombicuboctahedron", "SnubCube" -> "snub cube", "SnubDodecahedron" -> "snub dodecahedron", "TruncatedCube" -> "truncated cube", "TruncatedDodecahedron" -> "truncated dodecahedron", "TruncatedIcosahedron" -> "truncated icosahedron", "TruncatedOctahedron" -> "truncated octahedron", "TruncatedTetrahedron" -> "truncated tetrahedron", Delimiter, "DeltoidalHexecontahedron" -> "deltoidal hexecontahedron", "DeltoidalIcositetrahedron" -> "deltoidal icositetrahedron", "DisdyakisDodecahedron" -> "disdyakis dodecahedron", "DisdyakisTriacontahedron" -> "disdyakis triacontahedron", "PentagonalHexecontahedron" -> "pentagonal hexecontahedron", "PentagonalIcositetrahedron" -> "pentagonal icositetrahedron", "PentakisDodecahedron" -> "pentakis dodecahedron", "RhombicDodecahedron" -> "rhombic dodecahedron", "RhombicTriacontahedron" -> "rhombic triacontahedron", "SmallTriakisOctahedron" -> "small triakis octahedron", "TetrakisHexahedron" -> "tetrakis hexahedron", "TriakisIcosahedron" -> "triakis icosahedron", "TriakisTetrahedron" -> "triakis tetrahedron", Delimiter, "GreatDodecahedron" -> "great dodecahedron", "GreatIcosahedron" -> "great icosahedron", "GreatStellatedDodecahedron" -> "great stellated dodecahedron", "SmallStellatedDodecahedron" -> "small stellated dodecahedron", Delimiter, {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "Tetrahedron" -> "tetrahedron", Delimiter, {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Octahedron" -> "octahedron", Delimiter, "Cube" -> "cube", {"Prism", 3} -> "triangular prism", {"Prism", 5} -> "pentagonal prism", {"Prism", 6} -> "hexagonal prism", {"Prism", 7} -> "heptagonal prism", {"Prism", 8} -> "octagonal prism", {"Prism", 9} -> "nonagonal prism", {"Prism", 10} -> "decagonal prism", Delimiter, {"Antiprism", 4} -> "square antiprism", {"Antiprism", 5} -> "pentagonal antiprism", {"Antiprism", 6} -> "hexagonal antiprism", {"Antiprism", 7} -> "heptagonal antiprism", {"Antiprism", 8} -> "octagonal antiprism", {"Antiprism", 9} -> "nonagonal antiprism", {"Antiprism", 10} -> "decagonal antiprism", "Octahedron" -> "octahedron", Delimiter, "AugmentedDodecahedron" -> "augmented dodecahedron", "AugmentedHexagonalPrism" -> "augmented hexagonal prism", "AugmentedPentagonalPrism" -> "augmented pentagonal prism", "AugmentedSphenocorona" -> "augmented sphenocorona", "AugmentedTriangularPrism" -> "augmented triangular prism", "AugmentedTridiminishedIcosahedron" -> "augmented tridiminished icosahedron", "AugmentedTruncatedCube" -> "augmented truncated cube", "AugmentedTruncatedDodecahedron" -> "augmented truncated dodecahedron", "AugmentedTruncatedTetrahedron" -> "augmented truncated tetrahedron", "BiaugmentedPentagonalPrism" -> "biaugmented pentagonal prism", "BiaugmentedTriangularPrism" -> "biaugmented triangular prism", "BiaugmentedTruncatedCube" -> "biaugmented truncated cube", "BigyrateDiminishedRhombicosidodecahedron" -> "bigyrate diminished rhombicosidodecahedron", "Bilunabirotunda" -> "bilunabirotunda", "DiminishedRhombicosidodecahedron" -> "diminished rhombicosidodecahedron", {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Disphenocingulum" -> "disphenocingulum", "ElongatedPentagonalCupola" -> "elongated pentagonal cupola", "ElongatedPentagonalDipyramid" -> "elongated pentagonal dipyramid", "ElongatedPentagonalGyrobicupola" -> "elongated pentagonal gyrobicupola", "ElongatedPentagonalGyrobirotunda" -> "elongated pentagonal gyrobirotunda", "ElongatedPentagonalGyrocupolarotunda" -> "elongated pentagonal gyrocupolarotunda", "ElongatedPentagonalOrthobicupola" -> "elongated pentagonal orthobicupola", "ElongatedPentagonalOrthobirotunda" -> "elongated pentagonal orthobirotunda", "ElongatedPentagonalOrthocupolarotunda" -> "elongated pentagonal orthocupolarotunda", "ElongatedPentagonalPyramid" -> "elongated pentagonal pyramid", "ElongatedPentagonalRotunda" -> "elongated pentagonal rotunda", "ElongatedSquareCupola" -> "elongated square cupola", "ElongatedSquareDipyramid" -> "elongated square dipyramid", "ElongatedSquareGyrobicupola" -> "elongated square gyrobicupola", "ElongatedSquarePyramid" -> "elongated square pyramid", "ElongatedTriangularCupola" -> "elongated triangular cupola", "ElongatedTriangularDipyramid" -> "elongated triangular dipyramid", "ElongatedTriangularGyrobicupola" -> "elongated triangular gyrobicupola", "ElongatedTriangularOrthobicupola" -> "elongated triangular orthobicupola", "ElongatedTriangularPyramid" -> "elongated triangular pyramid", "GyrateBidiminishedRhombicosidodecahedron" -> "gyrate bidiminished rhombicosidodecahedron", "GyrateRhombicosidodecahedron" -> "gyrate rhombicosidodecahedron", "Gyrobifastigium" -> "gyrobifastigium", "GyroelongatedPentagonalBicupola" -> "gyroelongated pentagonal bicupola", "GyroelongatedPentagonalBirotunda" -> "gyroelongated pentagonal birotunda", "GyroelongatedPentagonalCupola" -> "gyroelongated pentagonal cupola", "GyroelongatedPentagonalCupolarotunda" -> "gyroelongated pentagonal cupolarotunda", "GyroelongatedPentagonalPyramid" -> "gyroelongated pentagonal pyramid", "GyroelongatedPentagonalRotunda" -> "gyroelongated pentagonal rotunda", "GyroelongatedSquareBicupola" -> "gyroelongated square bicupola", "GyroelongatedSquareCupola" -> "gyroelongated square cupola", "GyroelongatedSquareDipyramid" -> "gyroelongated square dipyramid", "GyroelongatedSquarePyramid" -> "gyroelongated square pyramid", "GyroelongatedTriangularBicupola" -> "gyroelongated triangular bicupola", "GyroelongatedTriangularCupola" -> "gyroelongated triangular cupola", "Hebesphenomegacorona" -> "hebesphenomegacorona", "MetabiaugmentedDodecahedron" -> "metabiaugmented dodecahedron", "MetabiaugmentedHexagonalPrism" -> "metabiaugmented hexagonal prism", "MetabiaugmentedTruncatedDodecahedron" -> "metabiaugmented truncated dodecahedron", "MetabidiminishedIcosahedron" -> "metabidiminished icosahedron", "MetabidiminishedRhombicosidodecahedron" -> "metabidiminished rhombicosidodecahedron", "MetabigyrateRhombicosidodecahedron" -> "metabigyrate rhombicosidodecahedron", "MetagyrateDiminishedRhombicosidodecahedron" -> "metagyrate diminished rhombicosidodecahedron", "ParabiaugmentedDodecahedron" -> "parabiaugmented dodecahedron", "ParabiaugmentedHexagonalPrism" -> "parabiaugmented hexagonal prism", "ParabiaugmentedTruncatedDodecahedron" -> "parabiaugmented truncated dodecahedron", "ParabidiminishedRhombicosidodecahedron" -> "parabidiminished rhombicosidodecahedron", "ParabigyrateRhombicosidodecahedron" -> "parabigyrate rhombicosidodecahedron", "ParagyrateDiminishedRhombicosidodecahedron" -> "paragyrate diminished rhombicosidodecahedron", "PentagonalCupola" -> "pentagonal cupola", "PentagonalGyrobicupola" -> "pentagonal gyrobicupola", "PentagonalGyrocupolarotunda" -> "pentagonal gyrocupolarotunda", "PentagonalOrthobicupola" -> "pentagonal orthobicupola", "PentagonalOrthobirotunda" -> "pentagonal orthobirotunda", "PentagonalOrthocupolarotunda" -> "pentagonal orthocupolarotunda", "PentagonalRotunda" -> "pentagonal rotunda", {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "SnubDisphenoid" -> "snub disphenoid", "SnubSquareAntiprism" -> "snub square antiprism", "Sphenocorona" -> "sphenocorona", "Sphenomegacorona" -> "sphenomegacorona", "SquareCupola" -> "square cupola", "SquareGyrobicupola" -> "square gyrobicupola", "SquareOrthobicupola" -> "square orthobicupola", "TriangularCupola" -> "triangular cupola", "TriangularHebesphenorotunda" -> "triangular hebesphenorotunda", "TriangularOrthobicupola" -> "triangular orthobicupola", "TriaugmentedDodecahedron" -> "triaugmented dodecahedron", "TriaugmentedHexagonalPrism" -> "triaugmented hexagonal prism", "TriaugmentedTriangularPrism" -> "triaugmented triangular prism", "TriaugmentedTruncatedDodecahedron" -> "triaugmented truncated dodecahedron", "TridiminishedIcosahedron" -> "tridiminished icosahedron", "TridiminishedRhombicosidodecahedron" -> "tridiminished rhombicosidodecahedron", "TrigyrateRhombicosidodecahedron" -> "trigyrate rhombicosidodecahedron"}}}, Typeset`size$$ = { 380., {188., 192.}}, Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = True, $CellContext`aff$169398$$ = 0, $CellContext`dia$169399$$ = 0, $CellContext`up$169400$$ = 0, $CellContext`poly$169401$$ = False, $CellContext`polyh$169402$$ = False}, DynamicBox[Manipulate`ManipulateBoxes[ 1, StandardForm, "Variables" :> {$CellContext`aff$$ = 1.6, $CellContext`dia$$ = 1.2, $CellContext`poly$$ = "Icosahedron", $CellContext`polyh$$ = "TruncatedDodecahedron", $CellContext`up$$ = 1.618}, "ControllerVariables" :> { Hold[$CellContext`aff$$, $CellContext`aff$169398$$, 0], Hold[$CellContext`dia$$, $CellContext`dia$169399$$, 0], Hold[$CellContext`up$$, $CellContext`up$169400$$, 0], Hold[$CellContext`poly$$, $CellContext`poly$169401$$, False], Hold[$CellContext`polyh$$, $CellContext`polyh$169402$$, False]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> (($CellContext`what = GraphicsComplex[ PolyhedronData[$CellContext`poly$$, "VertexCoordinates"], Polygon[ PolyhedronData[$CellContext`poly$$, "FaceIndices"]]]; $CellContext`where = PolyhedronData[$CellContext`polyh$$, "VertexCoordinates"]; Null); $CellContext`cluster = Map[Translate[ Rotate[$CellContext`what, {{0, 0, 1}, Normalize[# - {0, 0, 0}]}], #]& , $CellContext`up$$ $CellContext`where]; \ $CellContext`central = {Yellow, Scale[ GraphicsComplex[ PolyhedronData[$CellContext`polyh$$, "VertexCoordinates"], Polygon[ PolyhedronData[$CellContext`polyh$$, "FaceIndices"]]], $CellContext`aff$$ {1, 1, 1}, {0, 0, 0}]}; $CellContext`sphere = {Green, Sphere[{0, 0, 0}, $CellContext`dia$$]}; Graphics3D[{$CellContext`central, $CellContext`cluster, \ $CellContext`sphere}, ImageSize -> {380, 380}, Boxed -> False, SphericalRegion -> True, ViewPoint -> {0, 0, 10}, ViewAngle -> 0.12]), "Specifications" :> {{{$CellContext`aff$$, 1.6, "central polyhedron size"}, 0.3, 3.5, ControlPlacement -> Left, ImageSize -> Tiny}, {{$CellContext`dia$$, 1.2, "sphere size"}, 0.3, 5, ControlPlacement -> Left, ImageSize -> Tiny}, {{$CellContext`up$$, 1.618, "move polyhedra up"}, 0.1, 8, ControlPlacement -> Left, ImageSize -> Tiny}, {{$CellContext`poly$$, "Icosahedron", "what"}, { "Cube" -> "cube", "Dodecahedron" -> "dodecahedron", "Icosahedron" -> "icosahedron", "Octahedron" -> "octahedron", "Tetrahedron" -> "tetrahedron", Delimiter, "Cuboctahedron" -> "cuboctahedron", "GreatRhombicosidodecahedron" -> "great rhombicosidodecahedron", "GreatRhombicuboctahedron" -> "great rhombicuboctahedron", "Icosidodecahedron" -> "icosidodecahedron", "SmallRhombicosidodecahedron" -> "small rhombicosidodecahedron", "SmallRhombicuboctahedron" -> "small rhombicuboctahedron", "SnubCube" -> "snub cube", "SnubDodecahedron" -> "snub dodecahedron", "TruncatedCube" -> "truncated cube", "TruncatedDodecahedron" -> "truncated dodecahedron", "TruncatedIcosahedron" -> "truncated icosahedron", "TruncatedOctahedron" -> "truncated octahedron", "TruncatedTetrahedron" -> "truncated tetrahedron", Delimiter, "DeltoidalHexecontahedron" -> "deltoidal hexecontahedron", "DeltoidalIcositetrahedron" -> "deltoidal icositetrahedron", "DisdyakisDodecahedron" -> "disdyakis dodecahedron", "DisdyakisTriacontahedron" -> "disdyakis triacontahedron", "PentagonalHexecontahedron" -> "pentagonal hexecontahedron", "PentagonalIcositetrahedron" -> "pentagonal icositetrahedron", "PentakisDodecahedron" -> "pentakis dodecahedron", "RhombicDodecahedron" -> "rhombic dodecahedron", "RhombicTriacontahedron" -> "rhombic triacontahedron", "SmallTriakisOctahedron" -> "small triakis octahedron", "TetrakisHexahedron" -> "tetrakis hexahedron", "TriakisIcosahedron" -> "triakis icosahedron", "TriakisTetrahedron" -> "triakis tetrahedron", Delimiter, "GreatDodecahedron" -> "great dodecahedron", "GreatIcosahedron" -> "great icosahedron", "GreatStellatedDodecahedron" -> "great stellated dodecahedron", "SmallStellatedDodecahedron" -> "small stellated dodecahedron", Delimiter, {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "Tetrahedron" -> "tetrahedron", Delimiter, {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Octahedron" -> "octahedron", Delimiter, "Cube" -> "cube", {"Prism", 3} -> "triangular prism", {"Prism", 5} -> "pentagonal prism", {"Prism", 6} -> "hexagonal prism", {"Prism", 7} -> "heptagonal prism", {"Prism", 8} -> "octagonal prism", {"Prism", 9} -> "nonagonal prism", {"Prism", 10} -> "decagonal prism", Delimiter, {"Antiprism", 4} -> "square antiprism", {"Antiprism", 5} -> "pentagonal antiprism", {"Antiprism", 6} -> "hexagonal antiprism", {"Antiprism", 7} -> "heptagonal antiprism", {"Antiprism", 8} -> "octagonal antiprism", {"Antiprism", 9} -> "nonagonal antiprism", {"Antiprism", 10} -> "decagonal antiprism", "Octahedron" -> "octahedron", Delimiter, "AugmentedDodecahedron" -> "augmented dodecahedron", "AugmentedHexagonalPrism" -> "augmented hexagonal prism", "AugmentedPentagonalPrism" -> "augmented pentagonal prism", "AugmentedSphenocorona" -> "augmented sphenocorona", "AugmentedTriangularPrism" -> "augmented triangular prism", "AugmentedTridiminishedIcosahedron" -> "augmented tridiminished icosahedron", "AugmentedTruncatedCube" -> "augmented truncated cube", "AugmentedTruncatedDodecahedron" -> "augmented truncated dodecahedron", "AugmentedTruncatedTetrahedron" -> "augmented truncated tetrahedron", "BiaugmentedPentagonalPrism" -> "biaugmented pentagonal prism", "BiaugmentedTriangularPrism" -> "biaugmented triangular prism", "BiaugmentedTruncatedCube" -> "biaugmented truncated cube", "BigyrateDiminishedRhombicosidodecahedron" -> "bigyrate diminished rhombicosidodecahedron", "Bilunabirotunda" -> "bilunabirotunda", "DiminishedRhombicosidodecahedron" -> "diminished rhombicosidodecahedron", {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Disphenocingulum" -> "disphenocingulum", "ElongatedPentagonalCupola" -> "elongated pentagonal cupola", "ElongatedPentagonalDipyramid" -> "elongated pentagonal dipyramid", "ElongatedPentagonalGyrobicupola" -> "elongated pentagonal gyrobicupola", "ElongatedPentagonalGyrobirotunda" -> "elongated pentagonal gyrobirotunda", "ElongatedPentagonalGyrocupolarotunda" -> "elongated pentagonal gyrocupolarotunda", "ElongatedPentagonalOrthobicupola" -> "elongated pentagonal orthobicupola", "ElongatedPentagonalOrthobirotunda" -> "elongated pentagonal orthobirotunda", "ElongatedPentagonalOrthocupolarotunda" -> "elongated pentagonal orthocupolarotunda", "ElongatedPentagonalPyramid" -> "elongated pentagonal pyramid", "ElongatedPentagonalRotunda" -> "elongated pentagonal rotunda", "ElongatedSquareCupola" -> "elongated square cupola", "ElongatedSquareDipyramid" -> "elongated square dipyramid", "ElongatedSquareGyrobicupola" -> "elongated square gyrobicupola", "ElongatedSquarePyramid" -> "elongated square pyramid", "ElongatedTriangularCupola" -> "elongated triangular cupola", "ElongatedTriangularDipyramid" -> "elongated triangular dipyramid", "ElongatedTriangularGyrobicupola" -> "elongated triangular gyrobicupola", "ElongatedTriangularOrthobicupola" -> "elongated triangular orthobicupola", "ElongatedTriangularPyramid" -> "elongated triangular pyramid", "GyrateBidiminishedRhombicosidodecahedron" -> "gyrate bidiminished rhombicosidodecahedron", "GyrateRhombicosidodecahedron" -> "gyrate rhombicosidodecahedron", "Gyrobifastigium" -> "gyrobifastigium", "GyroelongatedPentagonalBicupola" -> "gyroelongated pentagonal bicupola", "GyroelongatedPentagonalBirotunda" -> "gyroelongated pentagonal birotunda", "GyroelongatedPentagonalCupola" -> "gyroelongated pentagonal cupola", "GyroelongatedPentagonalCupolarotunda" -> "gyroelongated pentagonal cupolarotunda", "GyroelongatedPentagonalPyramid" -> "gyroelongated pentagonal pyramid", "GyroelongatedPentagonalRotunda" -> "gyroelongated pentagonal rotunda", "GyroelongatedSquareBicupola" -> "gyroelongated square bicupola", "GyroelongatedSquareCupola" -> "gyroelongated square cupola", "GyroelongatedSquareDipyramid" -> "gyroelongated square dipyramid", "GyroelongatedSquarePyramid" -> "gyroelongated square pyramid", "GyroelongatedTriangularBicupola" -> "gyroelongated triangular bicupola", "GyroelongatedTriangularCupola" -> "gyroelongated triangular cupola", "Hebesphenomegacorona" -> "hebesphenomegacorona", "MetabiaugmentedDodecahedron" -> "metabiaugmented dodecahedron", "MetabiaugmentedHexagonalPrism" -> "metabiaugmented hexagonal prism", "MetabiaugmentedTruncatedDodecahedron" -> "metabiaugmented truncated dodecahedron", "MetabidiminishedIcosahedron" -> "metabidiminished icosahedron", "MetabidiminishedRhombicosidodecahedron" -> "metabidiminished rhombicosidodecahedron", "MetabigyrateRhombicosidodecahedron" -> "metabigyrate rhombicosidodecahedron", "MetagyrateDiminishedRhombicosidodecahedron" -> "metagyrate diminished rhombicosidodecahedron", "ParabiaugmentedDodecahedron" -> "parabiaugmented dodecahedron", "ParabiaugmentedHexagonalPrism" -> "parabiaugmented hexagonal prism", "ParabiaugmentedTruncatedDodecahedron" -> "parabiaugmented truncated dodecahedron", "ParabidiminishedRhombicosidodecahedron" -> "parabidiminished rhombicosidodecahedron", "ParabigyrateRhombicosidodecahedron" -> "parabigyrate rhombicosidodecahedron", "ParagyrateDiminishedRhombicosidodecahedron" -> "paragyrate diminished rhombicosidodecahedron", "PentagonalCupola" -> "pentagonal cupola", "PentagonalGyrobicupola" -> "pentagonal gyrobicupola", "PentagonalGyrocupolarotunda" -> "pentagonal gyrocupolarotunda", "PentagonalOrthobicupola" -> "pentagonal orthobicupola", "PentagonalOrthobirotunda" -> "pentagonal orthobirotunda", "PentagonalOrthocupolarotunda" -> "pentagonal orthocupolarotunda", "PentagonalRotunda" -> "pentagonal rotunda", {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "SnubDisphenoid" -> "snub disphenoid", "SnubSquareAntiprism" -> "snub square antiprism", "Sphenocorona" -> "sphenocorona", "Sphenomegacorona" -> "sphenomegacorona", "SquareCupola" -> "square cupola", "SquareGyrobicupola" -> "square gyrobicupola", "SquareOrthobicupola" -> "square orthobicupola", "TriangularCupola" -> "triangular cupola", "TriangularHebesphenorotunda" -> "triangular hebesphenorotunda", "TriangularOrthobicupola" -> "triangular orthobicupola", "TriaugmentedDodecahedron" -> "triaugmented dodecahedron", "TriaugmentedHexagonalPrism" -> "triaugmented hexagonal prism", "TriaugmentedTriangularPrism" -> "triaugmented triangular prism", "TriaugmentedTruncatedDodecahedron" -> "triaugmented truncated dodecahedron", "TridiminishedIcosahedron" -> "tridiminished icosahedron", "TridiminishedRhombicosidodecahedron" -> "tridiminished rhombicosidodecahedron", "TrigyrateRhombicosidodecahedron" -> "trigyrate rhombicosidodecahedron"}, ImageSize -> Tiny}, {{$CellContext`polyh$$, "TruncatedDodecahedron", "where"}, { "Cube" -> "cube", "Dodecahedron" -> "dodecahedron", "Icosahedron" -> "icosahedron", "Octahedron" -> "octahedron", "Tetrahedron" -> "tetrahedron", Delimiter, "Cuboctahedron" -> "cuboctahedron", "GreatRhombicosidodecahedron" -> "great rhombicosidodecahedron", "GreatRhombicuboctahedron" -> "great rhombicuboctahedron", "Icosidodecahedron" -> "icosidodecahedron", "SmallRhombicosidodecahedron" -> "small rhombicosidodecahedron", "SmallRhombicuboctahedron" -> "small rhombicuboctahedron", "SnubCube" -> "snub cube", "SnubDodecahedron" -> "snub dodecahedron", "TruncatedCube" -> "truncated cube", "TruncatedDodecahedron" -> "truncated dodecahedron", "TruncatedIcosahedron" -> "truncated icosahedron", "TruncatedOctahedron" -> "truncated octahedron", "TruncatedTetrahedron" -> "truncated tetrahedron", Delimiter, "DeltoidalHexecontahedron" -> "deltoidal hexecontahedron", "DeltoidalIcositetrahedron" -> "deltoidal icositetrahedron", "DisdyakisDodecahedron" -> "disdyakis dodecahedron", "DisdyakisTriacontahedron" -> "disdyakis triacontahedron", "PentagonalHexecontahedron" -> "pentagonal hexecontahedron", "PentagonalIcositetrahedron" -> "pentagonal icositetrahedron", "PentakisDodecahedron" -> "pentakis dodecahedron", "RhombicDodecahedron" -> "rhombic dodecahedron", "RhombicTriacontahedron" -> "rhombic triacontahedron", "SmallTriakisOctahedron" -> "small triakis octahedron", "TetrakisHexahedron" -> "tetrakis hexahedron", "TriakisIcosahedron" -> "triakis icosahedron", "TriakisTetrahedron" -> "triakis tetrahedron", Delimiter, "GreatDodecahedron" -> "great dodecahedron", "GreatIcosahedron" -> "great icosahedron", "GreatStellatedDodecahedron" -> "great stellated dodecahedron", "SmallStellatedDodecahedron" -> "small stellated dodecahedron", Delimiter, {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "Tetrahedron" -> "tetrahedron", Delimiter, {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Octahedron" -> "octahedron", Delimiter, "Cube" -> "cube", {"Prism", 3} -> "triangular prism", {"Prism", 5} -> "pentagonal prism", {"Prism", 6} -> "hexagonal prism", {"Prism", 7} -> "heptagonal prism", {"Prism", 8} -> "octagonal prism", {"Prism", 9} -> "nonagonal prism", {"Prism", 10} -> "decagonal prism", Delimiter, {"Antiprism", 4} -> "square antiprism", {"Antiprism", 5} -> "pentagonal antiprism", {"Antiprism", 6} -> "hexagonal antiprism", {"Antiprism", 7} -> "heptagonal antiprism", {"Antiprism", 8} -> "octagonal antiprism", {"Antiprism", 9} -> "nonagonal antiprism", {"Antiprism", 10} -> "decagonal antiprism", "Octahedron" -> "octahedron", Delimiter, "AugmentedDodecahedron" -> "augmented dodecahedron", "AugmentedHexagonalPrism" -> "augmented hexagonal prism", "AugmentedPentagonalPrism" -> "augmented pentagonal prism", "AugmentedSphenocorona" -> "augmented sphenocorona", "AugmentedTriangularPrism" -> "augmented triangular prism", "AugmentedTridiminishedIcosahedron" -> "augmented tridiminished icosahedron", "AugmentedTruncatedCube" -> "augmented truncated cube", "AugmentedTruncatedDodecahedron" -> "augmented truncated dodecahedron", "AugmentedTruncatedTetrahedron" -> "augmented truncated tetrahedron", "BiaugmentedPentagonalPrism" -> "biaugmented pentagonal prism", "BiaugmentedTriangularPrism" -> "biaugmented triangular prism", "BiaugmentedTruncatedCube" -> "biaugmented truncated cube", "BigyrateDiminishedRhombicosidodecahedron" -> "bigyrate diminished rhombicosidodecahedron", "Bilunabirotunda" -> "bilunabirotunda", "DiminishedRhombicosidodecahedron" -> "diminished rhombicosidodecahedron", {"Dipyramid", 3} -> "triangular dipyramid", {"Dipyramid", 5} -> "pentagonal dipyramid", "Disphenocingulum" -> "disphenocingulum", "ElongatedPentagonalCupola" -> "elongated pentagonal cupola", "ElongatedPentagonalDipyramid" -> "elongated pentagonal dipyramid", "ElongatedPentagonalGyrobicupola" -> "elongated pentagonal gyrobicupola", "ElongatedPentagonalGyrobirotunda" -> "elongated pentagonal gyrobirotunda", "ElongatedPentagonalGyrocupolarotunda" -> "elongated pentagonal gyrocupolarotunda", "ElongatedPentagonalOrthobicupola" -> "elongated pentagonal orthobicupola", "ElongatedPentagonalOrthobirotunda" -> "elongated pentagonal orthobirotunda", "ElongatedPentagonalOrthocupolarotunda" -> "elongated pentagonal orthocupolarotunda", "ElongatedPentagonalPyramid" -> "elongated pentagonal pyramid", "ElongatedPentagonalRotunda" -> "elongated pentagonal rotunda", "ElongatedSquareCupola" -> "elongated square cupola", "ElongatedSquareDipyramid" -> "elongated square dipyramid", "ElongatedSquareGyrobicupola" -> "elongated square gyrobicupola", "ElongatedSquarePyramid" -> "elongated square pyramid", "ElongatedTriangularCupola" -> "elongated triangular cupola", "ElongatedTriangularDipyramid" -> "elongated triangular dipyramid", "ElongatedTriangularGyrobicupola" -> "elongated triangular gyrobicupola", "ElongatedTriangularOrthobicupola" -> "elongated triangular orthobicupola", "ElongatedTriangularPyramid" -> "elongated triangular pyramid", "GyrateBidiminishedRhombicosidodecahedron" -> "gyrate bidiminished rhombicosidodecahedron", "GyrateRhombicosidodecahedron" -> "gyrate rhombicosidodecahedron", "Gyrobifastigium" -> "gyrobifastigium", "GyroelongatedPentagonalBicupola" -> "gyroelongated pentagonal bicupola", "GyroelongatedPentagonalBirotunda" -> "gyroelongated pentagonal birotunda", "GyroelongatedPentagonalCupola" -> "gyroelongated pentagonal cupola", "GyroelongatedPentagonalCupolarotunda" -> "gyroelongated pentagonal cupolarotunda", "GyroelongatedPentagonalPyramid" -> "gyroelongated pentagonal pyramid", "GyroelongatedPentagonalRotunda" -> "gyroelongated pentagonal rotunda", "GyroelongatedSquareBicupola" -> "gyroelongated square bicupola", "GyroelongatedSquareCupola" -> "gyroelongated square cupola", "GyroelongatedSquareDipyramid" -> "gyroelongated square dipyramid", "GyroelongatedSquarePyramid" -> "gyroelongated square pyramid", "GyroelongatedTriangularBicupola" -> "gyroelongated triangular bicupola", "GyroelongatedTriangularCupola" -> "gyroelongated triangular cupola", "Hebesphenomegacorona" -> "hebesphenomegacorona", "MetabiaugmentedDodecahedron" -> "metabiaugmented dodecahedron", "MetabiaugmentedHexagonalPrism" -> "metabiaugmented hexagonal prism", "MetabiaugmentedTruncatedDodecahedron" -> "metabiaugmented truncated dodecahedron", "MetabidiminishedIcosahedron" -> "metabidiminished icosahedron", "MetabidiminishedRhombicosidodecahedron" -> "metabidiminished rhombicosidodecahedron", "MetabigyrateRhombicosidodecahedron" -> "metabigyrate rhombicosidodecahedron", "MetagyrateDiminishedRhombicosidodecahedron" -> "metagyrate diminished rhombicosidodecahedron", "ParabiaugmentedDodecahedron" -> "parabiaugmented dodecahedron", "ParabiaugmentedHexagonalPrism" -> "parabiaugmented hexagonal prism", "ParabiaugmentedTruncatedDodecahedron" -> "parabiaugmented truncated dodecahedron", "ParabidiminishedRhombicosidodecahedron" -> "parabidiminished rhombicosidodecahedron", "ParabigyrateRhombicosidodecahedron" -> "parabigyrate rhombicosidodecahedron", "ParagyrateDiminishedRhombicosidodecahedron" -> "paragyrate diminished rhombicosidodecahedron", "PentagonalCupola" -> "pentagonal cupola", "PentagonalGyrobicupola" -> "pentagonal gyrobicupola", "PentagonalGyrocupolarotunda" -> "pentagonal gyrocupolarotunda", "PentagonalOrthobicupola" -> "pentagonal orthobicupola", "PentagonalOrthobirotunda" -> "pentagonal orthobirotunda", "PentagonalOrthocupolarotunda" -> "pentagonal orthocupolarotunda", "PentagonalRotunda" -> "pentagonal rotunda", {"Pyramid", 4} -> "square pyramid", {"Pyramid", 5} -> "pentagonal pyramid", "SnubDisphenoid" -> "snub disphenoid", "SnubSquareAntiprism" -> "snub square antiprism", "Sphenocorona" -> "sphenocorona", "Sphenomegacorona" -> "sphenomegacorona", "SquareCupola" -> "square cupola", "SquareGyrobicupola" -> "square gyrobicupola", "SquareOrthobicupola" -> "square orthobicupola", "TriangularCupola" -> "triangular cupola", "TriangularHebesphenorotunda" -> "triangular hebesphenorotunda", "TriangularOrthobicupola" -> "triangular orthobicupola", "TriaugmentedDodecahedron" -> "triaugmented dodecahedron", "TriaugmentedHexagonalPrism" -> "triaugmented hexagonal prism", "TriaugmentedTriangularPrism" -> "triaugmented triangular prism", "TriaugmentedTruncatedDodecahedron" -> "triaugmented truncated dodecahedron", "TridiminishedIcosahedron" -> "tridiminished icosahedron", "TridiminishedRhombicosidodecahedron" -> "tridiminished rhombicosidodecahedron", "TrigyrateRhombicosidodecahedron" -> "trigyrate rhombicosidodecahedron"}}}, "Options" :> {TrackedSymbols -> Manipulate}, "DefaultOptions" :> {ControllerLinking -> True}], ImageSizeCache->{614., {246., 252.}}, SingleEvaluation->True], Deinitialization:>None, DynamicModuleValues:>{}, SynchronousInitialization->True, UndoTrackedVariables:>{Typeset`show$$, Typeset`bookmarkMode$$}, UnsavedVariables:>{Typeset`initDone$$}, UntrackedVariables:>{Typeset`size$$}], "Manipulate", Deployed->True, StripOnInput->False], Manipulate`InterpretManipulate[1]]], "Output", CellGroupingRules->{"GroupTogetherGrouping", 10000.}, CellChangeTimes->{3.760721270689074*^9}, CellID->701154352] }, {2}]]