“A thin, straight wire is marked off into m equal lengths by m-1 points. It is then bent at a right angle at each of one or more of these points, making each segment parallel to one of two rectangular axes. The bent wire may be self-intersecting, but not self-coincident over a finite length. How many different shapes may it have?” Found this one in my old paper Encyclopedia of Integer Sequences: M1206. In the online version it got another number: A001997.
Bend wires, 8 lengths, 7 possible bends, white on black, in sequence
- 8 lengths, 7 possible bends, 493 variations
- Plotted on Fabriano BLACK BLACK paper, 300g A3.
- White pen (Mitshubishi Uniball)
- More or less in sequence, all unique
- Dimensions: 40×22 cm
Bend wires, 7 lengths, 6 possible bends, silver on black, in sequence
- 7 lengths, 6 possible bends, 176 variations
- Plotted on Fabriano BLACK BLACK paper, 300g A4.
- Chrome pen (Molotov Liquid Chrome, 1,0 mm)
- More or less in sequence, all unique
- Dimensions: 27,5×18 cm
Bend wires, 10 lengths, 9 possible bends, black on white, in sequence
- 10 lengths, 9 possible bends, 3821 variations (78×49-1)
- Plotted on CANSON® XL® Bristol Bristolpapier A3
- Black pigmented pen (Rothring Isograph 0.10)
- More or less in sequence, all unique
- Dimensions: 40×25 cm