Silver Rectangle Dissections

Author : Gavin Theobald

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The silver rectangle {R√2} is a rectangle of proportions 1:√2 or approximately 1:1.4142. This is the same proportions as the A series of paper, for example A4 paper.

{3} Triangle
{4} Square
{5} Pentagon
{6} Hexagon
{7} Heptagon
{8} Octagon
{9} Enneagon
{10} Decagon
{12} Dodecagon
{5/2} Pentagram
{6/2} Hexagram
{8/2} Octagram
{8/3} Octagram
{10/2} Decagram
{12/2}  Dodecagram
{G} Greek Cross
{L} Latin Cross
{Rϕ} Golden Rectangle
{R2} Domino
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
4 3 5 5 7 4 9 7 7


5/2 6/2 7/2 7/3 8/2 8/3 9/2 9/3 9/4 10/2 10/3 10/4 12/2 12/3 12/4 12/5
7 5 8 5 109 9


Triangle — Silver Rectangle (4 pieces)

The dissection is hingeable.


Square — Silver Rectangle (3 pieces)

The dissection is translational.


Pentagon — Silver Rectangle (5 pieces)


Hexagon — Silver Rectangle (5 pieces)

The dissection is translational.


Heptagon — Silver Rectangle (7 pieces)


Octagon — Silver Rectangle (4 pieces)


Enneagon — Silver Rectangle (9 pieces)


Decagon — Silver Rectangle (7 pieces)

The two overlays show the strips before and after the modification of the decagon strip that saves a piece.


Dodecagon — Silver Rectangle (7 pieces)


Silver Rectangle — Pentagram (7 pieces)


Silver Rectangle — Hexagram (5 pieces)

The dissection is translational.


Silver Rectangle — Octagram {8/2} (8 pieces)


Silver Rectangle — Octagram {8/3} (5 pieces)


Silver Rectangle — Decagram (10 pieces)

Silver Rectangle — Decagram (9 pieces with 1 turned over)


Silver Rectangle — Dodecagram {12/2} (9 pieces)


Silver Rectangle — Greek Cross (5 pieces)

The dissection is translational.


Silver Rectangle — Latin Cross (5 pieces)


Silver Rectangle — Golden Rectangle (3 pieces)

The dissection is translational and hingeable.


Silver Rectangle — Domino (3 pieces)

The dissection is translational and hingeable.

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