### Triangle — Pentagon (6 pieces)

This is perhaps not the best example of a dissection of triangle and pentagon,
but it is new and it does demonstrate the TT22 technique.

### Square — Pentagon (6 pieces)

This is not a very elegant solution because of the rather small piece, but it
is another example of a TT22 dissection. There are a number of different six
piece solutions possible and this raises the question of whether or not a five
piece solution exists. There is a range of rectangle shapes that will
dissect to a pentagon in just five pieces, but I think it unlikely that anyone
will find a five piece solution for the square.

### Pentagon — Hexagon (7 pieces)

Discovered by Harry Lindgren (1964).

### Pentagon — Heptagon (9 pieces)

### Pentagon — Octagon (9 pieces)

### Pentagon — Octagon (8 pieces with 1 turned over)

### Pentagon — Enneagon (10 pieces)

### Pentagon — Decagon (9 pieces)

I very nearly missed finding this dissection. The
piece is so nearly cut into
two, adding another two pieces to this dissection, that I did not think that
it was possible. Fortunately I checked and hence obtained another record.

### Pentagon — Hendecagon (12 pieces)

The overlay diagrams on the right show the basic dissection before I modify
it to save some pieces.

### Pentagon — Dodecagon (10 pieces)

There is room for improvement in this dissection. Is a 9 piece solution possible?

### Pentagon — Tridecagon (14 pieces)

The top overlay diagram on the right shows the dissection before I modify
it to save a piece.

### Pentagon — Tetradecagon (12 pieces)

The long triangle at the bottom left of the pentagon is in fact a quadrilateral
with a short fourth side at the bottom.

### Pentagon — Pentadecagon (14 pieces)

### Pentagon — Hexadecagon (13 pieces)

### Pentagon — Icosagon (14 pieces)

### Pentagon — Pentagram (9 pieces)

### Pentagon — Hexagram (8 pieces)

This is another example of a TT22 dissection.

### Pentagon — Octagram {8/2} (11 pieces)

### Pentagon — Octagram {8/3} (9 pieces)

The thin spike makes this a rather inelegant dissection, but I have not been
able to find another 9 piece solution.

### Pentagon — Decagram {10/2} (7 pieces)

Discovered by Greg Frederickson (1974).

### Pentagon — Dodecagram {12/2} (12 pieces)

### Pentagon — Dodecagram {12/2} (11 pieces with 3 turned over)

Compared to the other dodecagram dissections this one is particularly inefficient.
This is due to the dimensions of the pentagon making it impractical to form a
pentagon tessellation that can overlay a dodecagram tessellation.

By turning over pieces we can improve the dissection, but a entirely different
technique is required if the dissection is to be improved further.

### Pentagon — Silver Rectangle (5 pieces)

### Pentagon — Golden Rectangle (6 pieces)

### Pentagon — Domino (6 pieces)

### Pentagon — Optimised Rectangle (4 pieces)

### Pentagon — Greek Cross (7 pieces)

Discovered by Harry Lindgren (1961).

### Pentagon — Latin Cross (8 pieces)