Golden Rectangle Dissections
The golden rectangle {Rϕ} is a rectangle of proportions 1:(1+√5)/2 or approximately 1:1.6180.
If a square is removed from one end of the rectangle then the remainder will have the same proportions as the original.
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| 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 |
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Triangle — Golden Rectangle (4 pieces)
This uses the TT2 method.
The dissection is hingeable.
Square — Golden Rectangle (3 pieces)
The dissection is translational.
Pentagon — Golden Rectangle (6 pieces)
Hexagon — Golden Rectangle (5 pieces)
The dissection is translational.
Heptagon — Golden Rectangle (7 pieces)
Octagon — Golden Rectangle (6 pieces)
Enneagon — Golden Rectangle (9 pieces)
Decagon — Golden Rectangle (6 pieces)
Dodecagon — Golden Rectangle (7 pieces)
Discovered by Harry Lindgren.
Golden Rectangle — Pentagram (7 pieces)
Golden Rectangle — Hexagram (5 pieces)
Discovered by Harry Lindgren.
The dissection is translational.
Golden Rectangle — Octagram {8/2} (8 pieces)
Golden Rectangle — Octagram {8/3} (7 pieces)
The two overlays show the strips before and after the modification of the octagram strip
that saves a piece.
Golden Rectangle — Decagram {10/2} (10 pieces)
Golden Rectangle — Dodecagram {12/2} (9 pieces)
Golden Rectangle — Dodecagram {12/3} (9 pieces)
Silver Rectangle — Golden Rectangle (3 pieces)
The dissection is translational and hingeable.
Golden Rectangle — Domino (3 pieces)
The dissection is translational and hingeable.
Golden Rectangle — Greek Cross (5 pieces)
The dissection is translational.
Golden Rectangle — Latin Cross (5 pieces)
Discovered by Harry Lindgren.