What is the equation of torus?

Polyhedra with the topological type of a torus are called toroidal polyhedra, and have Euler characteristic V − E + F = 0. For any number of holes, the formula generalizes to V − E + F = 2 − 2N, where N is the number of holes.

What are the formulas for the surface area and volume of a torus?

The surface area of a torus is calculated by multiplying the circumference of the cross-section by the circumference of the ring. Volume = 2 × π × rc × 2 × π × R.

How do you make a torus shape?

Torus

It can be made by revolving a. small circle (radius r) along a line made. by a bigger circle (radius R).
It has no edges or vertices.
It is not a polyhedron.

How do you find the volume of a solid torus?

If the radius of its circular cross section is r , and the radius of the circle traced by the center of the cross sections is R , then the volume of the torus is V=2π2r2R .

How many sides does a torus have?

It has only one surface. It does not have edges or vertices.

Is a double torus orientable?

A double torus is a topological surface with two holes, formed from the connected sum of two tori. It has an orientable genus of 2 and an Euler characteristic of -2.

What is the volume equation of a cone?

The formula for the volume of a cone is V=1/3hπr². Learn how to use this formula to solve an example problem.

What is the volume formula of a torus?

The formula is often written in this shorter way: Volume = 2 π2 Rr 2 Note: Area and volume formulas only work when the torus has a hole!

How to find volume and surface area of torus or donut shape?

Online calculator to find volume and surface area of torus or donut shape using major and minor radius. Code to add this calci to your website. Just copy and paste the below code to your webpage where you want to display this calculator. Formula. Surface Area = 4π 2 Rr. Volume = 2π 2 Rr 2. Where, R = Major Radius. r = Minor Radius.

How do you find the surface area of a torus?

Surface Area. The surface area of a Torus is given by the formula – Surface Area = 4 × Pi^2 × R × r Where r is the radius of the small circle and R is the radius of bigger circle and Pi is constant Pi=3.14159.

How do you find the conformal structure of a 2-torus?

Every conformal structure on the 2-torus can be represented as a two-sheeted cover of the 2-sphere. The points on the torus corresponding to the ramification points are the Weierstrass points. In fact, the conformal type of the torus is determined by the cross-ratio of the four points.