Symmetry | Ways | Sides | Flip | Mirror | Group | Heesch Type | IH | Mohr Type | Colors | Rigid | Art | Links |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Parallelograms | 1 | 4 | p1 | TTTT | 41 | quad 1 | 2 | 4 | 25 | |||
Hexagons | 1 | 6 | p1 | TTTTTT | 1 | hex 1 | 3 | 5 | 44 | |||
Triangles, rotated | 2 | 3 | p2 | CCC | 84 | tri 2 | 2 | 3 | 8 | |||
Parallelograms, rotated | 2 | 4 | p2 | TCTC | 47 | quad 2 edge | 2 | 2 | 5 | |||
Quadrilaterals, rotated | 2 | 4 | p2 | CCCC | 46 | quad 2 tip | 2 | 3 | 16 | |||
Pentagons, rotated | 2 | 5 | p2 | TCTCC | 23 | pent 2 | 3 | 5 | 15 | |||
Hexagons, rotated | 2 | 6 | p2 | TCCTCC | 4 | hex 2 | 3 | 5 | 95 | |||
Parallelograms, flipped | 2 | 4 | • | pg | TGTG | 43 | quad 2 flip edge | 2 | 4 | 13 | ||
Kites, flipped | 2 | 4 | • | pg | G_{1}G_{1}G_{2}G_{2} | 44 | quad 2 flip tip | 2 | 2 | 20 | ||
Hexagons, flipped (on perpendicular axis) | 2 | 6 | • | pg | TG_{1}G_{2}TG_{2}G_{1} | 3 | hex 2 flip ends | 3 | 9 | 33 | ||
Hexagons, flipped (on parallel axis) | 2 | 6 | • | pg | TG_{1}G_{1}TG_{2}G_{2} | 2 | hex 2 flip sides | 3 | 3 | 28 | ||
Rhombuses with 3-way rotation | 3 | 4 | p3 | C_{3}C_{3}C_{3}C_{3} | 33 | quad 3 | 3 | • | 2 | 9 | ||
Hexagons with 3-way rotation | 3 | 6 | p3 | C_{3}C_{3}C_{3}C_{3}C_{3}C_{3} | 7 | hex 3 | 3 | 5 | 54 | |||
Triangles with 4-way rotation | 4 | 3 | p4 | CC_{4}C_{4} | 79 | tri 4 | 2 | • | 1 | 12 | ||
Squares with 4-way rotation | 4 | 4 | p4 | C_{4}C_{4}C_{4}C_{4} | 55 | quad 4 | 2 | • | 2 | 23 | ||
Pentagons with 4-way rotation | 4 | 5 | p4 | CC_{4}C_{4}C_{4}C_{4} | 28 | pent 4 | 3 | 6 | 53 | |||
Triangles, rotated and flipped | 4 | 3 | • | pgg | CGG | 86 | tri 4 flip | 2 | 2 | 7 | ||
Quadrilaterals (touching), rotated and flipped | 4 | 4 | • | pgg | CCGG | 53 | quad 4 flip tip | 2 | 3 | 12 | ||
Quadrilaterals (isolated), rotated and flipped | 4 | 4 | • | pgg | CGCG | 51 | quad 4 flip alone rotate | 2 | 3 | 8 | ||
Rectangles with 2-way flip | 4 | 4 | • | pgg | G_{1}G_{2}G_{1}G_{2} | 52 | quad 4 flip alone flip | 2 | 2 | 6 | ||
Pentagons, rotated and flipped | 4 | 5 | • | pgg | TCTGG | 25 | pent 4 flip edge | 3 | 2 | 5 | ||
Pentagons with 2-way flip | 4 | 5 | • | pgg | CG_{1}G_{2}G_{1}G_{2} | 27 | pent 4 flip alone | 3 | 3 | 11 | ||
Hexagons, rotated and flipped | 4 | 6 | • | pgg | TCCTGG | 5 | hex 4 flip edge | 3 | 5 | 23 | ||
Hexagons with 2-way flip | 4 | 6 | • | pgg | CG_{1}CG_{2}G_{1}G_{2} | 6 | hex 4 flip alone | 3 | 5 | 46 | ||
Equilateral triangles with 6-way rotation | 6 | 3 | p6 | CC_{6}C_{6} | 88 | tri 6 alone | 2 | • | 3 | 23 | ||
Isosceles triangles with 6-way rotation | 6 | 3 | p6 | CC_{3}C_{3} | 39 | tri 6 tip | 3 | • | 3 | 10 | ||
Kites with 6-way rotation | 6 | 4 | p6 | C_{3}C_{3}C_{6}C_{6} | 31 | quad 6 | 3 | • | 3 | 17 | ||
Pentagons with 6-way rotation | 6 | 5 | p6 | CC_{3}C_{3}C_{6}C_{6} | 21 | pent 6 | 3 | 4 | 35 | |||
Rhombuses, with inner mirror | 1 | 4 | • | cm | TT|TT | 68 | quad 1 sym | 2 | 1 | 5 | ||
Hexagons, with inner mirror | 1 | 6 | • | cm | tTTtTT | 12 | hex 1 sym | 3 | 4 | 10 | ||
Rectangles (with inner mirror), rotated | 2 | 4 | • | pmg | tCtC | 66 | quad 2 edge sym | 2 | 3 | 5 | ||
Kites (with inner mirror), rotated | 2 | 4 | • | pmg | CC|CC | 69 | quad 2 tip sym | 2 | 2 | 6 | ||
Hexagons (with inner mirror), rotated | 2 | 6 | • | pmg | tCCtCC | 13 | hex 2 sym | 3 | 4 | 13 | ||
Rhombuses, with inner mirror and 3-way rotation | 3 | 4 | • | p31m | C_{3}C_{3}|C_{3}C_{3} | 36 | quad 3 sym | 3 | • | 3 | 9 | |
Squares, with inner mirror and 4-way rotation | 4 | 4 | • | p4g | C_{4}C_{4}|C_{4}C_{4} | 71 | quad 4 sym | 2 | • | 3 | 8 |