ASME STEM 2017

Arthur Lee, Jul 23, 2017

STEM workshop 2017 July (materials for teachers)

Table of Contents

  1. Day 1
    1. circular 9 dots template
    2. circular 10 dots template
    3. circular 12 dots template
    4. circular 18 dots template
    5. two arcs
    6. sliding secant lines
    7. Views of a cube building
    8. Rectangle and a Square
    9. biggest area
    10. biggest area (3 sides)
    11. semi-circles
    12. 2017
    13. triangle in 2 squares
  2. Day 2
    1. sum of paths
    2. Find the shorteast total distance
    3. Napoleon Tiling
    4. symmetries of Napoleon's tessellation
    5. find two congruent triangles
    6. Cairo Tiling 1
    7. Cairo Tiling 2
    8. more squares and parallelograms
    9. Find Shortest Total Distance
    10. Find the shorteast total distance
    11. 最小距離和
    12. hexagon tiling (Haag Tiling)
  3. Day 3
    1. Making a cone
    2. maximum cone
  4. Day 4
    1. River excursion
    2. nearest sites
    3. nearest among 4 sites
    4. Three Pizzerias Voronoi
    5. Voronoi - Find the three locations
    6. Voronoi Diagram
    7. Voronoi Diagram of 5 points
    8. Voronoi Diagram for a ring
    9. Voronoi Diagram of 4 points
    10. Voronoi Diagram for a ring 2
    11. Voronoi 3
    12. where perpendicular bisectors intersect
    13. perpendicular bisectors and angles
  5. Day 5
    1. Powers of Ten

1.

Day 1

  • 1. circular 9 dots template
  • 2. circular 10 dots template
  • 3. circular 12 dots template
  • 4. circular 18 dots template
  • 5. two arcs
  • 6. sliding secant lines
  • 7. Views of a cube building
  • 8. Rectangle and a Square
  • 9. biggest area
  • 10. biggest area (3 sides)
  • 11. semi-circles
  • 12. 2017
  • 13. triangle in 2 squares

1.1.

circular 9 dots template

– Arthur Lee

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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1.11.

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1.12.

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1.13.

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2.

Day 2

  • 1. sum of paths
  • 2. Find the shorteast total distance
  • 3. Napoleon Tiling
  • 4. symmetries of Napoleon's tessellation
  • 5. find two congruent triangles
  • 6. Cairo Tiling 1
  • 7. Cairo Tiling 2
  • 8. more squares and parallelograms
  • 9. Find Shortest Total Distance
  • 10. Find the shorteast total distance
  • 11. 最小距離和
  • 12. hexagon tiling (Haag Tiling)

2.1.

sum of paths

– Arthur Lee

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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3.

Day 3

  • 1. Making a cone
  • 2. maximum cone

3.1.

Making a cone

This applet shows folding of a paper cone. Various geometric features in this process can be discussed. [br]In particular, the relation among the angle of the sector ([math]\theta[/math]), slant height ([i]l[/i]) and base radius of the cone ([i]r[/i]) can be carefully examined: [br][br][math]\frac{r}{l}=\frac{\theta}{360^\circ}[/math][br][br]Drag [color=#ff0000]V[/color] to fold/unfold the cone. Drag [color=#1e84cc]B[/color] to change the size of the paper sector.
Check this tutorial for this construction:[br]https://ggbm.at/mrXDrjMQ
– Arthur Lee

3.2.

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4.

Day 4

  • 1. River excursion
  • 2. nearest sites
  • 3. nearest among 4 sites
  • 4. Three Pizzerias Voronoi
  • 5. Voronoi - Find the three locations
  • 6. Voronoi Diagram
  • 7. Voronoi Diagram of 5 points
  • 8. Voronoi Diagram for a ring
  • 9. Voronoi Diagram of 4 points
  • 10. Voronoi Diagram for a ring 2
  • 11. Voronoi 3
  • 12. where perpendicular bisectors intersect
  • 13. perpendicular bisectors and angles

4.1.

River excursion

Drag points A-E to positions along the river, which are equally far away from rescue stations U and V.
– Arthur Lee

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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4.9.

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4.10.

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4.11.

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4.12.

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4.13.

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5.

Day 5

  • 1. Powers of Ten

5.1.

Powers of Ten

Use JAVA, otherweise the actual performance is not sufficient.
Powers of Ten
– Matthias Hornof

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