Round

Functions
template<class A >
static constexpr A::space::point	vsr::nga::Tangent::loc (const A &s)
	Direction of Tangent Element (similar formulation to Rounds) More...

Detailed Description

A Round Element is an n-sphere an can be operated.

A Round Element can be operated on by vsr::cga::Round static methods.

The conformal model of geometric algebra is based on the representation of \(p-1\)-spheres of \(\mathbb{R}^p\) as vectors in \(\mathbb{R}^{p+1,1}\)

Round Elements in 3D CGA

• vsr::cga::Point
• vsr::cga::Pair
• vsr::cga::Circle
• vsr::cga::Sphere

Construction

Points are the 1-blade vector of CGA, and a useful building block for constructing other Round elements.

\(n+1\)-spheres can be built by wedging \(n\)-spheres with a 0-sphere point

See also

vsr::cga::Round for operations on these Multivector Types

vsr::nga::Round for operations on Generic ND Multivector Types

Function Documentation

template<class A >

static constexpr A::space::point vsr::nga::Tangent::loc ( const A &  s )

inlinestatic

Direction of Tangent Element (similar formulation to Rounds)

Parameters

a	Direct Tangent Element

Returns

Direction type

Location of Tangent Element

similar formulation to Rounds