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Summary of Contents for MathMechs extensor

  • Page 1 Instructions...
  • Page 2 Welcome to extensors An extensor is an extending and retracting beam based on a scissor-like mechanism. Extensors can be connected together at nodes to build larger expanding structures and networks. Adding springs to extensors makes self-activated mechanisms! This set contains: 12×A...
  • Page 3 Y-extensor 3×A 3×B 2×Y Connect parts as shown in steps to make a length- two Y-extensor. Repeat step to make longer extensors. Replace the Y parts with X parts to make an X-extensor.
  • Page 4 2×X of one hand. Release your grip 1×Spring to make it jump out of your palm! Add a spring to an extensor where two A and/or B parts connect. Warning - do not point at eyes or face.
  • Page 5 Caltrop Connect four length-two Y-extensors together 12×A with four Z parts. 12×B 8×Y 4×Z Move all of the A parts to one extensor to make the Wand. Add a spring to make it magically expand!
  • Page 6 Elbow Connect two length-two X-extensors together with two Z parts. 8×A 8×B 4×X 2×Z...
  • Page 7 Square 16×A 16×B 8×X 8×Z Axes 24×A 24×B 12×X 8×Z With more parts you can build bigger structures. Further examples are shown on the following pages.
  • Page 8 Cube 48×A 48×B 24×X 32×Z Use longer extensors to make a cube with a larger expansion factor.
  • Page 9 Dodecahedron 90×A 90×B 60×Y 80×Z Note that the internal angle of the pentagons in Dodecahedron is 108º, which is close enough to the angle we designed Extensors to work at, ArcSec(-3) ≈ 109.5º.
  • Page 10 Diamond 120×A 84×B 68×Y 40×Z Formed from ten Caltrop nodes, this is a chunk of the crystal structure of diamond.
  • Page 11 Tetromino 144×A 144×B 72×X 104×Z Using similar designs you can build the other tetrominoes, and other structures based on the cubic lattice.
  • Page 12 Patent pending © 2018 Henry Segerman...