Drawing approximated regular shapes on square grid
2017年4月25日 · If each square (from the squared paper) has side length $1$, then that hexagon has four sides of length $\sqrt{1^2+4^2}=\sqrt{17}$ and two sides of length …
Are these two graphs isomorphic? Why/Why not?
2019年3月10日 · When we speak of a graph in mathematical terms all we have is the info of the sets V and E (where the graph G itself is G=(V,E) ) of the vertices and edges respectively. …
Is it possible to draw this picture without lifting the pen?
2015年12月31日 · The existence of an Eulerian trail in a connected graph is directly linked to the number of vertices which have an odd degree (the degree of a vertex is the number of …
How to prove or disprove that such a hexagon exists?
$\begingroup$ @Sawarnik: With a pad of graph paper it takes about 10 seconds to check one sequence. That's 10 minutes of work -- probably quicker than trying to be smart, if you've …
geometry - Is there an equation to describe regular polygons ...
The idea is that as the number of sides in a regular polygon goes to infinity, the regular polygon approaches a circle. Since a circle can be described by an equation, can a regular polygon be …
When is the sides and 3 diagonals of a convex hexagon a rigid …
2024年11月23日 · Even in that case the graph will be determined up to rigid motions, but will have an infinitesimal deformation. Think of the vertices of a regular hexagon. You can move every …
geometry - What is a hexagon? - Mathematics Stack Exchange
Yes, It is Considered as a Hexagon. There is a difference between an Irregular Hexagon and a Regular Hexagon. A regular hexagon has sides that are segments of straight lines that are all …
Is this the only planar cubic graph with six squares and two …
2013年8月18日 · This is a planar version of a hexagonal prism - a neater version with straight edges can be drawn by putting one hexagon inside the other and joining equivalent vertices. …
combinatorics - Plane Regular Graph of Pentagons and Hexagons ...
2021年6月13日 · I was studying for my graph theory test and I got stucked with the following question: Let G be a plane 3-regular connected graph formed with hexagonal and petagonal …
Number of vertices in a hexagon graph? - Mathematics Stack …
2015年5月6日 · What formula would find the number of vertices within a 'normal' hexagonal graph, based on its radius (number of hexagons from center to edge)? I've figured with pseudo …