Sex puzzles - generalization of sexhexes.
The first puzzles of this type, have been invented by Livio Zucca. See his web
page.
There are 4 types of symmetry of edges :
I - straight edge | |
D - edge with one axis of symmetry | |
S - edge with center of symmetry | |
P - no symmetry |
For puzzle we can use different types of edges for 3 types of polygon.
The numbers of pieces are given in the table bellow.
The first number is the number of pieces in 2-side puzzle the second on
1-side puzzle.
3 | 4 | 6 | |
ID | 10-11 | 21-24 | 92-130 |
IS | 7-11 | 15-24 | 74-130 |
IP | 25-45 | 90-165 | 1355-2635 |
IDS | 30-45 | 100-165 | 1405-2635 |
IDP | 70-119 | 336-616 | 10038-19684 |
ISP | 63-119 | 322-616 | 9940-19684 |
D | 4-4 | 6-6 | 13-14 |
S | 2-4 | 4-6 | 9-14 |
P | 12-24 | 39-70 | 366-700 |
DS | 16-24 | 43-70 | 382-700 |
DP | 44-76 | 183-336 | 4003-7826 |
SP | 38-76 | 177-336 | 3967-7826 |
DSP | 96-176 | 546-1044 | 22092-43800 |
IDSP | 138-249 | 873-1665 | 44727-88725 |
2D | 20-24 | 55-70 | 430-700 |
3D | 56-76 | 231-336 | 4291-7826 |
4D | 120-176 | 666-1044 | 23052-43800 |
2S | 12-24 | 39-70 | 366-700 |
3S | 38-76 | 177-336 | 3967-7826 |
4S | 88-176 | 538-1044 | 22028-43800 |
2P | 88-176 | 538-1044 | 22028-43800 |
3P | 292-584 | 2649-5226 | 249434-498004 |
4P | 688-1376 | 8292-16456 | |
I2D | 35-45 | 120-165 | 1505-2635 |
I3D | 84-119 | 406-616 | 10528-19684 |
I4D | 165-249 | 1035-1665 | 46185-88725 |
I2S | 25-45 | 90-165 | 1355-2635 |
I3S | 63-119 | 322-616 | 9940-19648 |
I2P | 129-249 | 855-1665 | 44565-88725 |
I3P | 377-741 | 3640-7189 | 403039-804895 |
Sexominoes : 3-ID
Sexehexes : 6-ID
Xominoes : 4-IDS
Biblical : 4-4D
Zucca's : 6-IP