| x | y | x: number of paper strips, y: number of outer
  quadrangles for each paper strip; yellow: all strip quadrangles are squares;
  red: Platonic Solids, see main page | 
 
  | 1 | 3 | tetrahedron, mixed | triagonal
  bipyramid |  |  |  |  |  |  |  | 
 
  | 1 | 4 | octahedron, plain II | modified
  octahedron |  |  |  |  |  |  |  | 
 
  | 1 | 5 | pentagonal pyramid | pentagonal
  bipyramid |  |  |  |  |  |  |  | 
 
  | 1 | 6 | hexagonal bipyramid I |  |  |  |  |  |  |  |  | 
 
  | 1 | 8 | JP17 | square
  antiprism | modified square antiprism
 | square
  deltohedron |  |  |  |  |  | 
 
  | 1 | 9 | triangular
  prism | bisymmetric
  hendecahedron | nonahedron | 2-cubes
  object | Enneahedron (Herschel) |  |  |  |  | 
 
  | 1 | 10 | icosahedron, plain | pentagonal
  prism I | pentagonal
  antiprism | cubo-octahedron, mixed
 | modified pentagonal antiprism
 | pentagonal deltohedron, plain
 |  |  |  | 
 
  | 1 | 12 | cube
  special II | cube
  "with wings" |  |  |  |  |  |  |  | 
 
  | 1 | 15 | pentagonal
  prism II | tetrakis
  5 prism | modified tetrakis 5 prism
 |  |  |  |  |  |  | 
 
  | 1 | 16 | JP85 | modified
  JP85 |  |  |  |  |  |  |  | 
 
  | 1 | 24 | dk4A4 | "roller-4" |  |  |  |  |  |  |  | 
 
  | 1 | 30 | dodecahedron spiral | "roller-5" |  |  |  |  |  |  |  | 
 
  | 2 | 1 | tetrahedron, plain |  |  |  |  |  |  |  |  | 
 
  | 2 | 2 | octahedron, plain I | "4 wings" | square pyramid |  |  |  |  |  |  | 
 
  | 2 | 3 | hexagonal pyramid | hexagonal
  bipyramid II |  |  |  |  |  |  |  | 
 
  | 2 | 5 | Star-4 | cube
  with "propeller" |  |  |  |  |  |  |  | 
 
  | 2 | 7 | JP26 | modified
  JP26A | modified JP26
  B |  |  |  |  |  |  | 
 
  | 2 | 9 | hexagonal
  prism I | modified
  hexagonal prism | compound
  of 2 cubes |  |  |  |  |  |  | 
 
  | 3 | 2 | tetrahedron, vertices | cube, plain | hexagonal
  bipyramid III |  |  |  |  |  |  | 
 
  | 3 | 4 | hexagonal
  antiprism | hexagonal
  prism II | modified
  hexagonal antiprism
 |  |  |  |  |  |  | 
 
  | 3 | 6 | truncated
  tetrahedron | 4-cubes-object |  |  |  |  |  |  |  | 
 
  | 3 | 9 | 12-sided
  solid | corresponding
  wrapping-object |  |  |  |  |  |  |  | 
 
  | 3 | 12 | 18-sided
  solid |  |  |  |  |  |  |  |  | 
 
  | 4 | 2 | tetragonal star |  |  |  |  |  |  |  |  | 
 
  | 4 | 3 | tetrahedron, edges | cube, vertices | octahedron, vertices | cubo-octahedron,
  nearly plain | rhombic dodecahedron, plain
 | Kepler-star | modified Kepler-star
 | triakisoctahedron | tetrakishexahedron | 
 
  | 4 | 9 | truncated
  cube | 8-cubes-object |  |  |  |  |  |  |  | 
 
  | 4 | 15 | great rhombi-cubo-octahedron
 | snub
  cube, vertices |  |  |  |  |  |  |  | 
 
  | 5 | 2 | pentagonal
  star |  |  |  |  |  |  |  |  | 
 
  | 5 | 4 | pentagonal
  deltohedron, vertices
 | corresponding
  wrapping-object |  |  |  |  |  |  |  | 
 
  | 6 | 4 | cube, edges | octahedron, edges | dodecahedron, mixed | icosahedron, mixed | cubo-octahedron,
  vertices | deltoidal
  icositetrahedron | disdyakis-dodecahedron |  |  | 
 
  | 6 | 5 | truncated
  octahedron, mixed
 | modified
  truncated octahedron, plain
 | rhombic
  cubo-octahedron, mixed
 | snub
  cube, nearly plain
 | rhombic
  tricontahedron, plain | t4
  truncated rhombic dodecahedron
 | (2|1)
  cube wrapping |  |  | 
 
  | 6 | 5 | dodecahedron, vertices | icosahedron, vertices | small
  stellated dodecahedron
 | great
  dodecahedron | stellated
  icosahedron |  |  |  |  | 
 
  | 6 | 6 | pentagonai
  icositetrahedron | modified truncated octahedron "with wings"
 |  |  |  |  |  |  |  | 
 
  | 6 | 18 | te4deC |  |  |  |  |  |  |  |  | 
 
  | 6 | 25 | snub
  dodecahedron |  |  |  |  |  |  |  |  | 
 
  | 8 | 6 | cubo-octahedron,
  vertices | (2|2)
  cube wrapping |  |  |  |  |  |  |  | 
 
  | 10 | 9 | truncated icosahedron, vertices
 |  |  |  |  |  |  |  |  | 
 
  | 12 | 5 | dodecahedron, edges | icosahedron, edges | icosidodecahedron,
  vertices |  |  |  |  |  |  | 
 
  | 12 | 10 | icosidodecahedron, edges |  |  |  |  |  |  |  |  | 
 
  | main page | 
 
 
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