# Geometry

## 1710 Submissions

 viXra:1710.0264 [pdf] submitted on 2017-10-23 07:56:01

### Question 403: Newton Fractal for F(z)=((1-Z^5)^2 / (1+z^10)) Z

Authors: Edgar Valdebenito

This note presents some fractals related with the function: f(z)=((1-z^5)^2/(1+z^10))-z
Category: Geometry

 viXra:1710.0241 [pdf] submitted on 2017-10-22 16:40:29

### Mathematical Geometry and Calculus of Numbers

Authors: Paris Samuel Miles-Brenden
Comments: 5 Pages. None.

None.
Category: Geometry

 viXra:1710.0147 [pdf] submitted on 2017-10-14 08:51:55

### How to Effect a Composite Rotation of a Vector via Geometric (Clifford) Algebra

Authors: James A. Smith

We show how to express the representation of a composite rotation in terms that allow the rotation of a vector to be calculated conveniently via a spreadsheet that uses formulas developed, previously, for a single rotation. The work presented here (which includes a sample calculation) also shows how to determine the bivector angle that produces, in a single operation, the same rotation that is effected by the composite of two rotations.
Category: Geometry

 viXra:1710.0137 [pdf] submitted on 2017-10-13 01:17:37

### The Modified Dirac Operator

Authors: Antoine Balan
Comments: 5 pages, written in french

The Dirac operator is twisted by a symmetric automorphism, the Dirac-Lichnerowicz formula is proved. An application for the Seiberg-Witten equations is proposed.
Category: Geometry

 viXra:1710.0131 [pdf] submitted on 2017-10-11 07:44:42

### Question 201: a Fractal Image

Authors: Edgar Valdebenito

This note presents a fractal image for f(z)=ln(1+g(z)).
Category: Geometry

 viXra:1710.0127 [pdf] submitted on 2017-10-11 20:27:18

### Proof of Happy Ending Problem

Authors: Choe ryujin