Circles on the Rim, 2
- Author:
- Ryan Hirst
Examining a projection of Sequence 1.
I only have to work out one quadrant.
Ok. But I still need iteration rules.
Shall see!
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The Tangent Circle Problem:
- 1. Tangent along the rim: solve for k
- 2a. Initial position: http://www.geogebratube.org/material/show/id/58360
- 2b. Tangent to equal circles: http://www.geogebratube.org/material/show/id/58455
- 3a. Four mutually tangent & exterior circles (Apollonius): http://www.geogebratube.org/material/show/id/58189
- 3b. Vector reduction: http://www.geogebratube.org/material/show/id/58461
- Affine Transformation http://www.geogebratube.org/material/show/id/58177
- Reflection: Line about a Circle http://www.geogebratube.org/material/show/id/58522
- Reflection: Circle about a Circle: http://www.geogebratube.org/material/show/id/58185
- Circle Inversion; Metric Space http://www.geogebratube.org/material/show/id/60132
- Sequence 1: Formation http://www.geogebratube.org/material/show/id/58896
- →Sequence 1: Formation
- Sequence 1: Iteration 1: http://www.geogebratube.org/material/show/id/59828
- Example of equivalent projections: http://www.geogebratube.org/material/show/id/65754
- Final Diagram: http://www.geogebratube.org/material/show/id/65755