Nonstandard n-distances based on certain geometric constructions

Lang, Origami and Geometric Constructions Origami and Geometric Constructions 1 Lang, Origami and Geometric Constructions Introduction

By Robert J. Lang Copyright ©1996–2015. All rights reserved. Introduction ................................................................................................................................... 3 Preliminaries and Definitions ...................................................................................................... 3 Binary Divisions ........................................

Pen-based Input of Geometric Constructions∗

Pen-based input is the classical approach to drawing. Without computers, using a pen was the natural approach to do drawings, and the simplicity of this “device” always called for similar electronic solutions. Today, a broad range of electronic input devices is available that try to pair the simplicity of input with the power of computing. They come in all sizes: from small touch-screens with s...

Lang, Origami and Geometric Constructions Origami and Geometric Constructions Introduction

On geometric constructions of (k, g)-graphs

We give new constructions for k-regular graphs of girth 6, 8 and 12 with a small number of vertices. The key idea is to start with a generalized n-gon and delete some lines and points to decrease the valency of the incidence graph.

Tropical plane geometric constructions

In this article we give a general method to compute sets of algebraic curves with prescribed incidence relations and tropicalizations. It generalizes the geometric constructions presented in Tabera, 2005 to the non linear case.