Tessellations Geometry 12 6 Tessellation tiling An arrangement
- Slides: 46
Tessellations Geometry 12 -6
• Tessellation (tiling) – An arrangement of shapes so that they completely cover a plane without any overlap or gaps • Monohedral Tessellation – A tessellation using only one shape Vocabulary
Which of the following are tessellations? Tessellations
• Regular Tessellation – A monohedral tessellation made up of regular congruent polygons Vocabulary
Tessellations may have more than one type of shape Tessellations
• Vertex Arrangement (numerical name) – A sequence of numbers relating to the sides of the polygons that meet at the vertex in a tiling Vocabulary
Tessellations
Name the vertex arrangement for each arrowed location Tessellations
Tessellation with non regular polygons Tessellations using only translations Tessellations
• Get your supplies – Blank Paper – Scissors Investigation
Investigation
Investigation
• Any triangle will create a monohedral tessellation Conjecture
Investigation
• Any quadrilateral will create a monohedral tessellation Conjecture
Tessellation using only translation
Examples
Examples
• Get your supplies – Blank Paper – Scissors – Tape Investigation
• Create your own rectangle tessellation • Start with a rectangle and then alter it as in the four steps on the next page Investigation
Investigation
• Create your own hexagon tessellation • Start with a hexagon and then alter it as in the six steps on the next page Investigation
Investigation
Investigation
Tessellations that use rotation
• Observe a hexagon tessellation • Start with a hexagon and then alter it as in the six steps on the next page Investigation
Investigation
TRIANGLE TESSELLATIONS
• Supplies – Paper – Scissors – Straightedge Investigation
• Draw a single scalene triangle (about ¼ the size of a sheet of paper) Investigation
• Label the vertices I, F & H F H I Investigation
• Create a design along the line IF, then transfer the design to the line IH as shown Investigation
• Find the midpoint of line FH, label the point S S Investigation
• Create a design between S and H Investigation
• Rotate the design between SH to fit between SF, as shown Investigation
• Trace the design onto paper, and cut out at least six shapes Investigation
Investigation
Tessellations that glide reflections
• Observe a triangle glide refelction tessellation • Start with a triangle and then alter it as in the six steps on the next page Investigation
Investigation
Investigation
• Observe a quadrilateral glide translation tessellation • Start with a quadrilateral and then alter it as in the four steps on the next page Investigation
Investigation
Investigation
• Pages 670 – 672 • 11 – 16, 49 – 50 Homework
- Pure tessellation
- A tessellation is an arrangement of repeating shapes
- Kinetic tiles
- Domino tiling 2xn
- Examples of semi regular tessellations
- Tiling
- Quasicrystal
- Heesch tiling
- Tiling onto blockwork
- Network tiling
- Skyline problem divide and conquer java
- Images of tessellations
- Polygons in nature
- Square triangle tessellation
- The father of tessellations
- Molecular geometry of pf3
- 4 electron domains 2 lone pairs
- The basis of the vsepr model of molecular bonding is
- Tessellation demo
- Pentominoes tessellation
- Spider tessellation
- Tessellation 9
- Tessellation worksheets with answers
- Octagon tessellation
- Tessellation town
- Glide reflection tessellation
- Abcdefghi is a regular 9 sided polygon
- The word tessellation comes from the root word
- Flip tessellation
- Principle of pragnanz
- Dilation tessellation
- How to make a tessellation with an index card
- Famous tessellation artists
- Monohedral tessellation
- Trapezium tessellation
- Tesselation 1
- Define rhythm in photography
- Greenhouse bench layout
- Soil arrangement
- Muscles of the posterior leg
- Leaf mosaic arrangement
- Classification arrangement
- Hong kong currency board
- Byzantine floral history
- Bohr rutherford diagram magnesium ion
- Chinese zodiac arrangement
- Convergent fascicle arrangement