Scalable Vector Graphics (SVG)

SVG is an XML-based vector graphic format for defining two-dimensional graphics. It's a popular format for WikiMedia files that are used in Wikipedia.

A web browser can display SVG files standalone or from within an HTML IMG tag.
For example:
<img class="tfpPhoto" alt="4-cube" width="160" src="svg/4cubeHLinesDash.svg">

These diagrams are modified versions from Wikipedia samples or created using the SVG editor Inkscape or initially generate with ChatGPT.

SVG 3, 4, 5 Dimensional Cube Diagrams

Cube Diagrams
SVG 3-Cubes
3D cube, all edges the same	Cube with dashed hidden lines	Cube with hidden lines removed

All edge lines and vertices are the same. This is similar to the one posted on WikiMedia Commons 3-cube graph which is used in the as a B₃ Coxeter plane graph orthographic projection.	Hidden lines and vertices are respectively marked as dashed and lighter.	Hidden lines removed which is the version on the Wikipedia hidden line article.
4-Cube Diagrams
SVG 4-Cubes
4-cube, all edges the same	4-cube with dashed hidden lines	4-cube with hidden lines removed

All edge lines and vertices are the same. This is basically the same as the one posted on WikiMedia Commons 4-cube graph which is used in the tesseract article as a B₄ Coxeter plane graph orthographic projection.	Hidden lines and vertices are respectively marked as dashed and lighter.	Hidden lines removed which is the version on the Wikipedia hidden line article.
5-Cube Diagrams
SVG 5-Cubes
5-cube, all edges the same	5-cube with dashed hidden lines	5-cube with hidden lines removed

All edge lines and vertices are the same, except the center vertex. The center vertex represents two vertices at the same position. This is a 90^o rotated 5-cube of the 5-cube posted on WikiMedia Commons 5-cube graph which is a B₅ Coxeter plane graph orthographic projection.	Hidden lines are marked as dashed lines. Hidden vertices are lighter color shades.	Hidden lines removed which is the version on the Wikipedia hidden line article.

Other 4-Cube Diagrams

SVG 4-Cubes
4-cube with dashed hidden lines	4-cube generated by ChatGPT	ChatGPT 4-cube with dashed hidden lines

Dash hidden lines, no circles at the vertices. Modified using the SVG editor Inkscape.	ChatGPT generated SVG image. It generated a version similar to the WikiMedia Commons 4-cube graph. ChatGPT wrote, "I created the SVG tesseract as a Coxeter-plane projection using the Coxeter-element eigenvector ω=eπi/4 ω=e πi/4".	ChatGPT image modified to have the hidden lines as dashed lines. I made the changes directly in the XML using a text editor.

4-cube on Wikipedia that similar to my 4-cubes.

Rhombic dodecahedron has the above 4-cube the section: Related polytope. I should add the same for the 5-cube and 6-cube polyhedron Wikipedia articles.

A polytope is the generalization of a polygon to any number of dimensions, meaning it is a geometric object with flat sides. Examples include a 2-dimensional polygon and a 3-dimensional polyhedron, and they can be defined as the intersection of half-spaces.

Chess Game

A colleague offered to play a game of chess, and I took him up on it. This gave me a chance to work on my SVG skills.

Game board development steps:

I had ChatGPT generate chess board. I modified it to meet my requirements.	I downloaded each of the SVG chess pieces from Wikipedia. I added them into a single SVG file.	I added the Wikipedia chess pieces onto the board.	The chess board and pieces are used in an online game. I added a replay option to re-watch the game. I should add more options such as pause and continue.

Graphing with ChatGPT

sGraphXYa 2D graph with unit markers

sGraphXYb 2D graph with unit markers and a square centered around the origin.

sGraphWXYZa ChatGPT 4D graph

sGraphWXYZb ChatGPT 4-cube attempt #1.

sGraphWXYZc ChatGPT 3-cube in a 4D graph. The cube's z cube angle does not match the z axis angle.

sGraphWXYZd ChatGPT 4-cube attempt #2. The 4th dimension of the cube is totally incorrect.

sCube1 drawn with polygons.

Hello World

HTML color codes