Learn Beautiful Geometry

Description

In this course, you will learn :

• How do you fit an infinite number of shapes into a finite space?
• Investigate tessellation patterns that only use one type of regular polygon.
• What tessellations can you create when you use a variety of shapes?
• A second round of transformation puzzles will help you to broaden your knowledge and skills.

Syllabus :

1. Tessellations and Reptiles

• Regular Tessellations
• Semiregular Tessellations
• Transforming Tiles 

 

2. Polyominos

• Tiling a Chessboard
• Counting All Possible Solutions
• Bigger Polyomino Blocks
• Challenging Packing Puzzles

 

3. Folding Puzzles

• Mathematical Origami
• Dragon Folding
• 1D Flat Folding
• 2D Holes and Cuts

 

4. Guarding Galleries

• Strange Polygons
• Convex vs. Concave
• Quadrilateral and Pentagonal Galleries
• Efficient Guard Placement

 

5. Pick's Theorem

• Pegboard Rectangles
• Pegboard Triangles
• Pick's Theorem Generalized
• Pick's Theorem With One Hole

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