0
Still curious? Ask our experts.
Chat with our AI personalities
Coach
Professor
RossAdd your answer:
Earn +20 pts
What prisms have vertices?
Every prism has vertices. They have an even number of vertices, with a minimum of 6 and no maximum.
Does a prism have an even number of vertices?
Yes, a prism has an even number of vertices. A prism is a three-dimensional shape with two parallel and congruent polygonal bases connected by rectangular or parallelogram faces. The number of vertices in a prism is equal to the number of vertices in its bases plus the number of vertices in the lateral faces. Since each base has an equal number of vertices, and the lateral faces have an even number of vertices, the total number of vertices in a prism is always even.
How can you show that every Hamiltonian cubic graph is 3-edge-colorable?
A cubic graph must have an even number of vertices. Then, a Hamilton cycle (visiting all vertices) must have an even number of vertices and also an even number of edges. Alternatively color this edges red and blue, and the remaining edges green.
Is it possible to have 2 even and 2 odd vertices in a shape?
Yes, but not a polygon (or polyhedron).Consider a quadrilateral with one diagonal. The end points of the diagonal are at odd vertices while the other two are even.
How do you get the of a center of a regular polygon?
If it is a polygon with an even number (>2) of vertices, join any two pairs of opposite vertices. These lines will meet in the centre. If it is a polygon with an odd number (>1) of vertices, join any two vertices to the midpoints of the opposite sides. These lines will meet in the centre.
