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Daniël van den Berg
Daniël van den Berg
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I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N10*N*pi (added *pi as a randomly chosen non-integer to prevent extra squares, thanks Hearth). Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.

For a better explanation, see Daniel Wagner's excellent visualization in the comments down below, and leave an upvote while you're at it ;)

I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N. Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.

For a better explanation, see Daniel Wagner's excellent visualization in the comments down below, and leave an upvote while you're at it ;)

I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N*pi (added *pi as a randomly chosen non-integer to prevent extra squares, thanks Hearth). Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.

For a better explanation, see Daniel Wagner's excellent visualization in the comments down below, and leave an upvote while you're at it ;)

added 141 characters in body
Source Link
Daniël van den Berg
Daniël van den Berg
  • 361
  • 1
  • 6

I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N. Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.

For a better explanation, see Daniel Wagner's excellent visualization in the comments down below, and leave an upvote while you're at it ;)

I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N. Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.

I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N. Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.

For a better explanation, see Daniel Wagner's excellent visualization in the comments down below, and leave an upvote while you're at it ;)

Source Link
Daniël van den Berg
Daniël van den Berg
  • 361
  • 1
  • 6

I'm hoping it's within the rules, but if so:

3

It works for any number of squares! I'm unfortunately not familiar with any tools to generate an image for this, but the approach is:

Take a cylinder with circumference of say 10*N. Draw one line so that it wraps around the cylinder, coming to the front with an interval of N. Now draw two lines on the cylinder, perpendicular to the first, N-space apart. Make the cylinder length of 102.5N. You should now have 101 squares.