Give a conceptual description of how I am related to Riddle 5’s graph. What is my edge-chromatic number? And what is my crossing number?

Show that the traditional design for a soccer ball is Hamiltonian.

Construct a dodecahedron from more straightforwardly constructible regular polygons, as follows.

From a tessellation with multiple types of regular polygon tiles.

Find as many conceptually distinct interpretations as possible for Riddle 6’s factor of k = 4/3.

Which features there as the constant of proportionality in the medians’ counterpart of Heron’ formula.

Where else in Geometry do technically-related powers of k occur?

Show that any triangle can be cut into 4 congruent triangles, each of which is similar to the original.

For which quadrilaterals can this be done?

Find a pentagon for which this can be done.