Day 30
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Math 444, Wednesday, 12/7
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| Sponsor |
Today's class is brought to you by the Quadrilateral
Tessellation and the Nine-point circle |
| Topics |
Discuss the Quadrilateral
Tessellation and related symmetry patterns. Conclude missing pieces of the
nine-point circles and altitude relationships. |
| Class Schedule |
- Finish up: What are the nine points of the nine-point circle?
- Dilations
- Dilation with centroid center converts altitudes to perpendicular bisectors
- Dilation centers of circles give easiest construction of common tangents to two circles.
- If D is the orthocenter of ABC, what is the orthocenter of ABD, etc.?
- Quadrilateral tessellation has half-turn symmetries.
- The half-turn centers form a lattice of parallelograms. The shape
of such a lattice is not limited to special parallelograms.
- One can start with the half-turn parallelograms and build a tessellation.
This is a simple form of what Escher did.
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| Assignments |
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