Difference between revisions of "Lego train tracks geometry"
(Created page with "=== Width === The width of sleepers is 8 studs. There are 4 studs between the tracks. {| | ○ || ◼︎ || ○ || ○ || ○ || ○ || ◼︎ || ○ || |} === Straight Tra...") |
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Straight track is 16 studs long. | Straight track is 16 studs long. | ||
| − | === Curved Track == | + | === Curved Track === |
| − | Curved track is 22.5° with radius of 40 studs (R40). | + | Curved track is a 22.5° arc with radius of 40 studs (R40). |
So 4 curved tracks make a 90° arc. | So 4 curved tracks make a 90° arc. | ||
| − | This translated to a track of about 15.7 studs | + | This translated to a track of about 15.7 studs long at the center. (Inner rail 14.7 studs, outer rail 16.7 studs) |
=== Flexible Track === | === Flexible Track === | ||
Flex track is 4 studs long, can be bend between straight and R40 curve, and everything in between. This corresponds to a maximal angle of 5.73°. | Flex track is 4 studs long, can be bend between straight and R40 curve, and everything in between. This corresponds to a maximal angle of 5.73°. | ||
| − | So 4 flexible tracks is slightly longer than a regular 22.5° | + | So 4 flexible tracks is slightly longer than a regular 22.5° curved track. |
=== Switches === | === Switches === | ||
A straight track on a switch is 32 studs in length (double straight track). | A straight track on a switch is 32 studs in length (double straight track). | ||
| − | The turn track consists of two arcs both with 40 stud radius (R40), the first 36.87° outward, and the second | + | The turn track consists of two arcs both with 40 stud radius (R40), the first 36.87° outward, and the second 14.37° inward. |
You may recognise the angle of 36.87° angle from a Pythagorean triangle with sides of 3, 4 and 5. | You may recognise the angle of 36.87° angle from a Pythagorean triangle with sides of 3, 4 and 5. | ||
Latest revision as of 21:33, 27 October 2017
Width
The width of sleepers is 8 studs. There are 4 studs between the tracks.
| ○ | ◼︎ | ○ | ○ | ○ | ○ | ◼︎ | ○ |
Straight Track
Straight track is 16 studs long.
Curved Track
Curved track is a 22.5° arc with radius of 40 studs (R40). So 4 curved tracks make a 90° arc.
This translated to a track of about 15.7 studs long at the center. (Inner rail 14.7 studs, outer rail 16.7 studs)
Flexible Track
Flex track is 4 studs long, can be bend between straight and R40 curve, and everything in between. This corresponds to a maximal angle of 5.73°. So 4 flexible tracks is slightly longer than a regular 22.5° curved track.
Switches
A straight track on a switch is 32 studs in length (double straight track). The turn track consists of two arcs both with 40 stud radius (R40), the first 36.87° outward, and the second 14.37° inward.
You may recognise the angle of 36.87° angle from a Pythagorean triangle with sides of 3, 4 and 5. As you can see in the picture, this ensures that the turn track will perfectly align with the main track if followed by a regular curved track. The result is two parallel tracks 16 stud apart (8 studs between the sleepers).
