Day 20
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Math 445, Friday, 2/18
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| Sponsor |
Today's class is brought to you by the Geodesic
Dome |
| Topics |
Decompostion of plane
triangles into similar triangles not possible on the sphere. How the planar
dissection is projected to the sphere. |
| Class Schedule |
- Midpoint dissection of a planar triangle.
- On the sphere, midpoint triangle has smaller angles.
- Corner triangles are congruent to each other but not to midpoint triangle.
- How to find distances given coordinates of vectors.
- Extension to division of triangle into 9 similar triangles with side
= 1/3 original.
- Tessellations of the sphere into regular, congruent tiles come from
the 5 Platonic solids.
- Geodesic domes (and spheres) obtained from projecting triangle divisions
of faces from octahedral, or tetrahedral or icosahedral tessellations
of the sphere.
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| Assignments |
| New |
Reading Assignment (due Monday 11/15)
Read Brown, Chapter 14
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| Due Today |
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| Ongoing |
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