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SOLO-030 · Pentomino tiling

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The Stubborn Rectangle

Completely paste the rectangle 5 × 10 with the given 10 pentominos, without overlap.

Materials: Pencil and gum; eventually reproduce the 10 silhouettes on gridded paper to cut them.

Rules you need

The puzzle

Silhouettes exact, to be read row by row:

F : ·FF / FF· / ·F·

I : I / I / I / I / I

L : L· / L· / L· / L· / LL

N : N· / NN / ·N / ·N

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 / C12345678910
1
2
3
4T
5

Parts to be placed

Exhibit F
FFFFF
Exhibit I
IIIII
Exhibit L
LLLLL
Exhibit N
NNNNN
Exhibit P
PPPPP
Exhibit T
TTTTT
Exhibit V
VVVVV
Exhibit W
WWWWW
Exhibit X
XXXXX
Exhibit Z
ZZZZZ
Why this level?

Combining orientations, constraints of indices and impossibility of coverage; 13455 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.