Lego Geometry Gus Jansson NWBrick Con October 5
Lego Geometry Gus Jansson NWBrick. Con – October 5, 2002
Why Study Lego Geometry? Avoid trial and error approach to making parts fit Determine exact distance between points on a diagonal Design intricate structures in your head when you don’t have access to your bricks
The Lego Unit (L) ? 4 L 2 L
The Height Of A Brick 1. 2 L 4 L 2 L
Plate Height Plate height is 1/3 of Brick Height. 1. 2 L / 3 = 0. 4 L
The Beam Stack a b 0. 4 L a b a + b = 1. 2 L b + 0. 4 L + a = 2. 0 L
What about a and b? a = 0. 5 b = 0. 7
Stud Size? Distance between studs is 0. 4 L
Gap between studs = 0. 4 L 0. 6 L 0. 2 L 1 L 0. 2 L
90° Bracket
90° Bracket 2 L 0. 4 L
90° Bracket 2 L 0. 4 L 1. 2 L 0. 4 L 2. 0 L 2. 4 L
90° Bracket
1 x 1 Headlight Brick
1 x 1 Headlight Brick 0. 8 L 1 L 0. 2 L 1 L
1 x 1 Headlight Brick 0. 8 L 1. 2 L 1 L
1 x 1 Headlight Brick
Gears: Radius and Teeth 1 L Radius of 8 -tooth gear: 0. 5 L Circumference is linear to radius Formula: t = 16 r or r = t/16
Gears: Radius and Teeth 2 L 16 tooth gear – radius is 1 L 24 tooth gear – radius is 1. 5 L 3 L
Gears: Double Bevel 12 tooth – radius is 0. 75 L 20 tooth – radius is 1. 25 L New gear with Spybot set: 36 tooth – radius is 2. 25 L
Gears: Making them fit Easy to Fit Combinations:
Gears: Making them fit Harder to Fit Combinations:
Gears: Making them fit 1. 5 L
Gears: Making them fit 1. 0 L 1. 5 L 0. 75 L gap
Diagonals One way to fit hard combinations Use Pythagorean Theorem to measure distance on diagonal
Diagonals 2 L 1 L
Diagonals 1. 5 L + 0. 75 L = 2. 25 L
Diagonals 1. 0 L 0. 5 L 0. 4 L 1 L 0. 5 L
Diagonals
Diagonals
Diagonals
Diagonals Chart Full Chart available on Brickshelf. com. Search for member Gjansson and look under Lego Geometry.
UNDONE: 1 Good ways to mount motors 2 Light sensor mounting 3 Light sensor shrouding(like Alegomazer) 4 Good techniques for angles like Alegomazer light sensor block 5 Circular exercise
- Slides: 34