Name all the vertices of a heptagon.

A, B, C, D, E, F, G ?

Or give them names of Nobel Prize Winners.

if the first vertex is at (1,0), then the others are at

(cos 2kπ/7, sin 2kπ/7) for k=1..6

Sure! A heptagon is a polygon with seven sides. To find the vertices of a heptagon, you can start by labeling one vertex as a starting point. Then, you can number the vertices counterclockwise or clockwise.

Let's label the starting point as "A." Then, we can proceed counterclockwise to label the other vertices. Let's go through the process step by step:

1. Start at vertex A.
2. Proceed in a counterclockwise direction to vertex B.
3. Continue to vertex C.
4. Move on to vertex D.
5. Then, label vertex E.
6. Next, label vertex F.
7. Finally, label the last vertex as G.

So, the vertices of a heptagon, starting from any vertex and proceeding in a counterclockwise direction, are A, B, C, D, E, F, and G.