100 pentagon polyhedra 3d models found
Download or buy, then render or print from the shops or marketplaces.
3D Models below are suitable not only for printing but also for any
computer graphics like CG, VFX, Animation, or even CAD. You can print these 3d models on
your favorite 3d printer or render them with your preferred render engine.
Please note that the 3D model database is only a Search Engine. You should
visit the original websites. Most of the models can be easily imported and rendered
with Autodesk 3ds Max, Maya, Blender, C4D, and Sketchup. Check for online
3d model conversions tools for your file format.
thingiverse
free
Bowls from Polyhedra by pmoews
...two bowls are duals of two different polyhedra called pentagonl icositetrahedra. one bowl is based on the dual of...
thingiverse
free
Propello Christmas Ornaments by pmoews
...ornaments: a wire frame and a wire frame with pentagonl and hexagonal...
thingiverse
free
Hollow Polyhedra: Prisms and Antiprisms by pmoews
...separate stl files for the tetrahedron, dodecahedron, square antiprism, pentagonl prism, and pentagonal antiprism are included below. the excellent...
thingiverse
free
Holiday Ornaments based on a Truncated Octahedron by pmoews
...square faces were omitted. it also has 24 irregular pentagonl faces which are roughly triangular in shape. the pentagonal...
thingiverse
free
Modulated Polyhedra by kitwallace
...dual geodesic icosahedron with 180 hexagonal faces and 12 pentagonl faces. the functions used are discussed here http://kitwallace.tumblr.com/post/84108860851/even-more-modulated-polyhedra and...
thingiverse
free
Holiday Ornament with Stars by pmoews
...http://dmccooey.com/polyhedra/rectifiedrhombicosidodecahedron.html the rectified rhombicosidodecahedron has, as faces, 12 regular pentagon and 20 equilateral triangles which were left blank. it...
thingiverse
free
Two Polyhedra, One Vertex Set by pmoews
...polygons for faces. each polyhedron has 19 vertices, 6 pentagonl faces, 3 square faces, and 10 triangular faces. they...
thingiverse
free
Polyhedra construction set by peridot_faceted
...as a starter set: 40 triangles 24 squares 12 pentagon this allows construction of all five platonic solids as...
thingiverse
free
Johnson Polyhedra by pmoews
...polyhedra have faces composed of regular polygons: triangles, squares, pentagon,hexagons, octagons and decagons. there are only 92 such polyhedra....
thingiverse
free
Polyhedral Penguin by mathcraft
...cuboctahedron stretched along one axis for his body, and pentagonl prisms for feet. the polyhedra for this penguin were...
thingiverse
free
Blitzball by firefrogz
...which resemble soccer balls and blitzballs because they have pentagon and hexagons. i found the polyhedra named g(2,1), and...
thingiverse
free
Pentagonal Hexecontahedron by mathgrrl
...the start of a series of models of exotic polyhedra created using mathematica and topmod. this one is really...
thingiverse
free
Three Closely Related Bowls by pmoews
...the squares, and the squares share edges with the pentagon. the dual has 60 identical faces, shaped like kites....
thingiverse
free
Small Stellated Dodecahedron as Ornament by pmoews
...construction replaces each face of a dodecahedron with scaleable pentagonl pyramids. the right choice of scale factor gives a...
thingiverse
free
Folding Ornate Dodecahedron by Zippitybamba
...base models didn't. probably because i scaled up the pentagon size but not the teeth that hold it...
thingiverse
free
Regular/Platonic Solids by mathcraft
...equilateral triangles), octahedron (eight equilateral triangles), dodecahedron (twelve regular pentagon), and icosahedron (twenty equilateral triangles). we printed hundreds of...
thingiverse
free
Bonnie Stewart's G3 polyhedron by pmoews
...and it contains vertices where single triangle, square, and pentagon meet. here is a g3 polyhedron and two dodecahedrons;...
thingiverse
free
Ten Sided Dice by pmoews
...quite attractive. here are four based on the standard pentagonl trapezohedron. openscad code is provided so that modifications can...
thingiverse
free
Woven Dodecahedron by RealAbsurdity
...apparent verticies are those of a truncated dodecahedron with pentagonl and trigular...
thingiverse
free
Pentagonal Hook Piece by mrule
...to accept a chain or rope so that the polyhedra ( http://www.thingiverse.com/thing:5961, http://www.thingiverse.com/thing:6178 ) can be hung from the...
thingiverse
free
Tribonacci Bowl, Container, and Composite by pmoews
...coordinates of the snub cube and its dual the pentagonl icositetrahedron are derived from the tribonacci constant. here is...
thingiverse
free
Pentagonal Icositetrahedron by mathgrrl
...solids -dual of the snub cube to download more polyhedra like this, see our catalan polyhedra collection. don't have...
thingiverse
free
Polyhedra Lampshade by anikinet
...on wikipedia : https://en.wikipedia.org/wiki/icosidodecahedron). the lamp is made of pentagon frames screwed together with m3 screws, and various lids...
thingiverse
free
Bubble Blocks by DaveMakesStuff
...make foam. the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Pentagonal Hexecontahedron by mathgrrl
...favorite shapes in the whole world to download more polyhedra like this, see our catalan polyhedra collection. don't have...
thingiverse
free
Weaire–Phelan Clusters by DaveMakesStuff
...make foam. the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Polyhedra - Hinged Nets and Snap Tiles by mathgrrl
...of the 23233 pentagons and 6 of the 32322 pentagon, plus 12 of the 232323 hexagons, 4 of the...
thingiverse
free
Classroom Polyhedra by OpenScadDad
...up, the polyhedra see more and more hexagons and pentagon and triangles and quadrilaterals disappear. these should be fun...
thingiverse
free
Cubic system special forms by kitwallace
...are : deltoid dodecahedron (aka rhombdodecahedron) in class 23 pentagonl dodecahedron(aka pyritohedron) in class m3 and 23 diakisdodecahedron (aka...
thingiverse
free
Three Gyroelongated Pentagonal Bicupolas by mathgrrl
...experimenting with using mathematica and topmod to make wireframe polyhedra for more information see the link below. makerhome day...
thingiverse
free
Hollow polyhedra: Catalan Solids by pmoews
...icositetrahedron. an interesting one with 24 faces is the pentagonl icositetrahedron. it occurs as enantiomorphs; that is mirror images...
thingiverse
free
Polyhedra via Conway Operators in OpenSCAD by kitwallace
...the sample solids are gd - the catalan solid pentagonl hexecontahedron emd - modulated to create a cushion shape...
thingiverse
free
Ditrigonal Dodecadodecahedron by pmoews
...http://www.georgehart.com/virtual-polyhedra/vrml/triambic_dodecadodecahedron.wrl - is not easily printed as it contains pentagon where portions of both sides face outwards. i recently...
thingiverse
free
Weaire-Phelan Tableware by DaveMakesStuff
...video: https://youtu.be/f4yius_-hse the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Soccer ball (Truncated icosahedron) assembly by Mattias_Selin
...football ("soccer ball") pattern i decided to print the pentagon (5-sides) in black and the hexagons (6-sides) in...
thingiverse
free
Polyhedron Facets ( revised, parametric ) by mrule
...been rendered. i know that the triangular, square, and pentagonl facets presented here are sufficient for building a wide...
thingiverse
free
openscad-polyhedra by benjaminedwardmorgan
...indices in the vertex array for each triangular and pentagonl face, respectively snub_dodecahedron_faces contains all faces usage: // add...
thingiverse
free
Weaire–Phelan Soap Dish by DaveMakesStuff
...look like! the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Trapezohedra Magnet Tiles by eshira
...= 6 faces tetragonal: print 2x4 = 8 faces pentagonl: print 2x5 = 10 faces use 4 disc magnets...
thingiverse
free
Weaire-Phelan Transition Vase by DaveMakesStuff
...the bottom. the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Penta Tubes by DaveMakesStuff
...“penta tube” align with the edges of a regular pentagon the angles of the connecting surfaces of the “dihedral...
thingiverse
free
"Completely" Solid Dodecahedron by MrMdR
...a platonic solid. it is composed of 12 regular pentagonl faces, with three meeting at each vertex, and is...
thingiverse
free
Weaire-Phelan Tetrastix by DaveMakesStuff
...https://youtu.be/f0dxauwx-hy the complete structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Two Color Archimedean Solids - 1 by pmoews
...coordinates of the vertices for the outer and inner pentagon are available from the hollow polyhedra scad file. these...
thingiverse
free
Bubble Bowl by DaveMakesStuff
...make foam. the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Bubble Coasters by DaveMakesStuff
...make foam. the structure is made up of two pentagonl dodecahedra (12-sided) and six tetrakaidecahedra (14-sided) that form a...
thingiverse
free
Pyritohedra/Dodecahedra Magnetic Tile by eshira
...can comfortably fit on the 'base edge' of the pentagon because these edges are always matched together, they cannot...
thingiverse
free
Platonic Polyhedra 1: Dodecahedron & Parts Thereof by bathrobotics
...mirror the solid. repeat to form all five l2 pentagon. merge solid. this is the "first half" (6 faces...
thingiverse
free
Customizable Pair of Packable Scutoids by mathgrrl
...has one hexagonal face, and on the flipside, one pentagonl face. in the default configuration of this model, we...
cg_trader
$7
Icosahedron Frame Pendant | 3D
...0.5 mm icosahedron pendant geometry cuboctahedron platonic solid polyhedron pentagonl squarepyramid triangle jewelry necklace icosahedra icosahedrons solids 20 sided...
3dwarehouse
free
Pentagonal Crystals
...dodecahedral geometry • chiral #chiral #crystal #dodecahedron #icosahedron #origami #polyhedra #polyhedron...
3dwarehouse
free
Dodecahedron from intersecting penta slices
...or a series of parallel pentagon slices. #cube #dodecahedron #pentagon #platonic_solids...
3dwarehouse
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Icosidodecahedron
...icosidodecahedron 3dwarehouse icosidodecahedron • 32-face polyhedron • 12 pentagon, 20 triangles • an icosidodecahedron is the intersection of...
3dwarehouse
free
Snub Dodecahedron
...length • triangles are, therefore, equilateral, as are the pentagon #chiral #dodecahedron #geodesic #polyhedra #polyhedron #snub...
3dwarehouse
free
George Hart - Bathysphere
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
24x3side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
Geodesic • Two-layer Sphere • Inverted
...two-layer sphere' • c554e1af29f0757bbb8627f7da72a40a • this version has the pentagonl/hexagonal frame (2,5) outermost, and the triangular frame (1,3) on...
3dwarehouse
free
10x3+2x5side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
cagework following ideas of george hart. ID=18aef96d387bd96860467ddd
...http://sketchup.google.com/3dwarehouse/details?mid=18aef96d387bd96860467dddaf5cfe3f see http://graphics.stanford.edu/projects/scenesynth/ for more information. #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
14x3+2x7side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
dodecahedron, with scafolding
...of the rectangle is a ratio of phi. #dodecahedron #pentagon #phi #platonic_solid...
3dwarehouse
free
12x3+2x6side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
18x3+2x9side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
8x3+2x4side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
Giraffe - Following ideas of George Hart (Bathysphere)
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
Terreform 'Plug-In Ecology' • Pentagon
...available as a separate model #buckminster #geodesic #icosahedron #nexorade #polyhedra #polyhedron #reciprocal_frame...
3dwarehouse
free
20x3side Icosahedron Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
george w hart cagework version no shadows. ID=14e4cb9d8fd5c29f6
...http://sketchup.google.com/3dwarehouse/details?mid=14e4cb9d8fd5c29f60467dddaf5cfe3f see http://graphics.stanford.edu/projects/scenesynth/ for more information. #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
48x3side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
20x3+2x10side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
12x5side PLATONIC dodecahedron
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
4x3+4x6side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
8x3+6x4side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
6x4+8x6side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
10x3+2x5side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
16x3+2x8side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
22x3+6x4side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
20x3+12x10side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
Pentagonal Icositetrahedron
...face has been sunken in at an angle. this polyhedra is unique in that there are no opposing parallel...
3dwarehouse
free
Pentagonal Hexecontahedron
...face has been sunken in at an angle. this polyhedra is unique in that there are no opposing parallel...
3dwarehouse
free
4x12+8x6+6x8side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
20x3+30x4+4x5side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
12x4+8x6+6x10side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
Geodesic Weave
...composed of rotated copies of only two components; one pentagonl and the other, hexagonal #dome #geodesic #geodesic_dome #icosahedron #polyhedra...
3dwarehouse
free
8x3+2x4side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
Synergy Ball
...size of the pentagonal openings and the degree of pentagon rotations • theoretically, an infinite number of different synergy...
3dwarehouse
free
Terreform 'Plug-In Ecology'
...culture for micropropagation') the rotegrity frame, with the larger pentagon 'entrance,' is available as a separate model #buckminster #geodesic...
3dwarehouse
free
, Equilateral sides on triangles and ohter sufaces, 3x4+4x6side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
free
, Equilateral sides on triangles and ohter sufaces, 8x3+18x4side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
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, Equilateral sides on triangles and ohter sufaces, 8x3+6x8side Rhombic Forms
...#hexagon #hexagonal #icosahedron #m_c_escher #octagon #panels_faces #parallel_basic_forms #patterns #pedagogical_evaluation #pentagon #polygon #polygons_equilateral_sides #polyhedra #polyhedral #polyhedron #regular #rhombi #rhombic #rhombic_dodecahedron...
3dwarehouse
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Small Stellated Dodecahedron
...pentakis dodecahedron, but with much taller isosceles triangle faces. #pentagonl #pentagrammic #pentakis_dodecahedron #platonic #star...
3dwarehouse
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George W. Hart - 30 Squares “Slide-Together”
...color belong to the same cube. #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron #rhombic_triacontahedron...
3dwarehouse
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Cagework 2 - Following ideas of George Hart
...dr. hart, see his web page: #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
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George Hart, Knot Structured (Nuts Structured)
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron #rhombic_triacontahedron #triacontahedron...
3dwarehouse
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George W. Hart - Cagework 1
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
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George W. Hart - Cagework 1 (version 2)
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
George W. Hart - Cagework 1 Construction
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
George W. Hart - Cagework 1 (version 2) No Shadows
...hart, see his web page: http://www.georgehart.com/rp/rp.html #dodecahedron #george_hart #icosahedron #pentagon #polyhedra #polyhedral #polyhedron...
3dwarehouse
free
Biosphere • Amazon HQ Campus
...19 of the rufus project • geometric polyhedral basis; pentagonl hexecontahedron • the glazing is in a separate sketchup...
3dwarehouse
free
Blank 20-sided
...its vertex figure is a pentagram rather than a pentagon leading to geometrically intersecting faces. a die (plural 'dice')...