November 19 – 323.

Geogebra. Sangaku problem from the Katayamahiko shrine. Four circles of radius r and four congruent equilateral triangles of side a touch a big circle of radius R internally and also touch a small square of the side a. Find r in terms of R.

Note that on the image, the circles have been transformed in spheres, the triangles into pyramids and the square in a cube.

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