Geometry Euclid of Alexandria The Founder of Geometry. He was a - - PowerPoint PPT Presentation

geometry euclid of alexandria
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Geometry Euclid of Alexandria The Founder of Geometry. He was a - - PowerPoint PPT Presentation

Geometry Euclid of Alexandria The Founder of Geometry. He was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323283 BC) Pythagorean theorem Geometry


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Geometry

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Euclid of Alexandria

The Founder of Geometry. He was a Greek mathematician, often referred to as the "Father

  • f Geometry". He was active in Alexandria

during the reign of Ptolemy I (323–283 BC)

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Pythagorean theorem

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Geometry

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LEGOMETRY

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3 Plates = 1 Brick

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Ldraw Unit (LDU)

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Bricks are 8mm wide by 9.6mm high How do you make widths and heights match?

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LDU makes the math easy.... How many plates = how many studs?

2 studs = 2x20 = 40 LDU 5 plates = 5x8 = 40 LDU

2 studs = 2x20 = 40 LDU 5 plates = 5x8 = 40 LDU

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How many bricks = how many studs? 6 studs = 6x20 = 120 LDU 5 bricks = 5x24 = 120 LDU

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6 studs = 5 bricks = 120 LDU (or 15 plates) 4 studs = 3 1/3 bricks = 80 LDU (or 10 plates) 2 studs = 1 2/3 bricks = 40 LDU (or 5 plates)

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Since 1 stud = 2 ½ plates, no combination of plates adds up to exactly one stud

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One answer: brackets. The thin vertical plate is ½ the thickness of a normal plate, or 4 LDU

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Bracket vertical part is ½ plate thick ½ plate from bracket + 1 plate + 1 tile = 2 ½ plates, same as 1 stud

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Exception

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Technic pin hole placement is just a little higher (about 0.2mm) than stud-on-side placement. Some models may have alignment problems due to this. Reason: early Technic brick molds needed thicker plastic between pinhole and bottom of brick.

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Use bricks with studs on sides to attach assemblies at 90 degrees. To mount them flush, remember that 5 plates = 2 studs = 40 LDU.

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Use half-plate offsets to add texture to an otherwise flat wall

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Studs not on Top

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How do you make a gentle slope? What if these are too steep?

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For a more gradual slope, we'd like to mount every other one ½ plate higher But, we have a half-plate hole to fill! How to attach these?

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Alternate rotations for headlight bricks to take advantage of ½ plate offset in “foot”

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The 1x1 “cheese slope” is a very useful part but doesn't combine well with others of its kind to make a smooth slope. This notch is needed for it to fit a stud inside, but is ugly.

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Turns out that “notch” is ½ plate thick. 2 plates (height of cheese slope) + ½ plate = 1 stud

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Mount the center slope ½ plate lower for a smooth surface!

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Passing through Whole parts

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Other Ways to flip 180 degrees

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Hinges

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With Technics

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Axles

This building work only for bricks bigger than 1xn bricks.

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Half pins

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Other Ways

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34 LDU height.

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28 LDU height

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50 LDU height

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Smallest Way

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It can also be improved using cut Technic tubing.

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OFFSETS

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Jumper Plates

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Other Offsets

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Stud-to-tube trick

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Tube to hollow stud trick

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Technic bricks

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bar/arm and clip

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LETTERING

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Diagonals and Striping

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MicroStriping

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Top hinges brick micro-striping

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SNOT mounted 1x2-1x4 bracket micro-striping

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Making things Skeef

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fin