Geometry

2312 Submissions

[3] viXra:2312.0131 [pdf] submitted on 2023-12-24 10:19:04

One Tile Suffices

Authors: Volker W. Thürey
Comments: 3 Pages.

We have found for all k larger than two a possibility to tile the plane completely with k-gons. We use infinite many copies of a single tile. The proofs are not by written words, but by pictures. Amongst others, we use the well-known tiling with hexagons. We show for k larger than 4 new ways to cover the plane.
Category: Geometry

[2] viXra:2312.0090 [pdf] submitted on 2023-12-17 14:25:39

Complex Curvature and Complex Radius

Authors: Cavași Ioan Abel
Comments: 3 Pages.

I define the notions of complex curvature and complex radius and prove that one of these complex numbers is exactly the inverse of the other.
Category: Geometry

[1] viXra:2312.0037 [pdf] submitted on 2023-12-07 21:10:17

Exact Sines and Cosines Including a Small Table

Authors: Claude Michael Cassano
Comments: 12 Pages.

Using half angle formulas and other trigonometric identities sines and cosines for exact angles may be established and such table produced.
Category: Geometry