The Eight Shapes

Pave the rectangle 5 × 8 completely with the 8 pentominos given, without overlap.

Materials: Pencil and gum; eventually reproduce the 8 silhouettes on gridded paper to cut them.

Rules you need

Each room contains exactly five boxes bound by their sides. Use each of the 8 letters exactly once.
Rotations and turns are allowed. A piece cannot be deformed or cut.
Any box containing a letter must be covered by the part of this letter. The other boxes of the rectangle must also be covered.
In the silhouettes below, "/" separates rows, the dots are outside the room.

The puzzle

Silhouettes exact, to be read row by row:

I : I / I / I / I / I

L : L· / L· / L· / L· / LL

P : PP / PP / P·

T : TTT /T· /T·

V.V.V.V.V.

W : W·· / WW· / ·WW

X : X· / XXX / X·

Z : ZZ· / ·Z· / ·ZZ

Coordinates: lines from top to bottom, columns from left to right.
L / C	1	2	3	4	5	6	7	8
1			I
2
3
4
5

Parts to be placed

Exhibit I

Exhibit L

Exhibit P

Exhibit T

Exhibit V

Exhibit W

Exhibit X

Exhibit Z

Why this level?

Combining orientations, constraints of indices and impossibility of coverage; 980 sub-pavements are examined with choice of the most constrained box. The level is editorial and does not rely on an external standard.

Your workspace

Write down your assumptions separately from deductions you have proved.

Notes for SOLO-028

View the solution to SOLO-028 →