Livio's
pentominoproblems

Livio published 3 beautiful pentomini problems.
We like to put them on our site and this was his reply: *"You have my
permission to publish all my material on your site."*

HexoPento

These are 10 flippable two-side hexominoes. Colors are the same on both sides. Cover a 10x6 rectangle so that you see the 12 pentominoes.

Gabriele Carelli:*"Excelent puzzle with unique solution!"*

Numbering the pieces from left to right and top down we have:

A - Pieces 6 and 10 have only 4 different "relationships", in any case the light gray pieces form an L, the light green form a T or a V

B - Pieces 3 and 7 has only 2 possible "relationships", in both "relationships" the blue squares form the I. Two other "relationships" seems possible but force the purple or the blue squares to form an L pento but such pento is formed by the light gray pieces (see above).

C - Pieces 2 and 8 have only 4 possible "relationships"

Putting in a whole A, B and C and following a logical path we can reach the
unique solution

Odette De Meulemeester:* "It's really an excellent puzzle but the solution isn't unique"
*If you want to see the solutions you can click on the words, but first searching for yourself.

Helmut Postl (27-06-2017) :

12 Pentominoes "X".

These are 12 flippable two-side Pentominoes "X". Colors are the same on both sides. Cover a shape so that you see the 12 different Pentominoes. The resulting Pentominoes are colored according to the 4-Color Theory.

We find a solution:

Livio Zucca:*"There
is at least another solution. Odette's solution coincides with mine. I have
no idea how many there can be, nor what can be the exhaustive method to find
them."
*Helmut Postl:

12 Pentominoes "F".
*
*
These are 12 flippable two-side Pentominoes "F". Colors are the same on both
sides. Build an open chain as in the example, so you can see the 12
different Pentominoes.

We found a sulution.

XUTFZLYPVINW

Livio Zucca:

Helmut Postl
send us 26 solutions

XUTYVILZFPNW

XUTYVILZFPNW

XUZYVILTFPNW

XUZYVILTFPNW

XUTFZLYPVINW

XUTFZLYPVINW

XUTFZLYPVINW

XUTFZLYPVINW

XUZFTLYPVINW

XUZFTLYPVINW

XUZFTLYPVINW

XUZFTLYPVINW

XLYTZUFPVINW

XLYZTUFPVINW

XYLTZUFPVINW

XYLZTUFPVINW

XYLTZUFPVINW

XYLZTUFPVINW

XTLYZUFPVINW

XZLYTUFPVINW

XZLYTUFPVINW

XTLYZUFPVINW

XZLYTUFPVINW

XTLYZUFPVINW

XZLYTUFPVINW

XTLYZUFPVINW

*
*We hope that we recieve a solution from you!