Social Media Ideas for Jordan Triangle

Triangle Transistors

 This is a difficult origami tessellation that I recently created. It features right triangles and trapezoids tucked into small triangles. It also uses open back triangles and natu...

Autumnal Vortexes Tessellation

Lately, I've been looking for tessellations where I can incorporate a triad of triangles into the design. By that I mean, a set of three small triangles tucked into a central trian...

Harmonic triangle

Pascal’s triangle is the most famous triangular arrangement of numbers. I’ve written about other numerical triangles, such as Bell’s triangle and the trinomial triangle. There’s an...

Solve my geometry puzzle, score some reputation

The diagram shows an equilateral triangle and four congruent circles. Wherever things look tangent, they are tangent. What is the value of θ ?

24 hour geometry challenge

This might be harder than my usual geometry puzzles. Let's see if anyone can solve it within 24 hours. The diagram shows a regular pentagon sharing a side with an equilateral tri...

Jordan Triangle “Paolo”

Confrontation Origami Tessellation

 This is one from back in August that got overlooked for a while. It's a pretty simple concept that creates a rather tangled design. The center is an offset hexagon with six triang...

Iron Balloons Origami Tessellation

 This origami tessellation is an exercise in how interesting I can make a simple idea. . I think it turned out pretty neat. It appears as though right triangles are spinning off of...

No trigonometry, please.

The diagram shows a regular pentagon sharing a side with an equilateral triangle. The red circle's centre is the top vertex of the equilateral triangle. Wherever things look tangen...

Temporary Insanity Tessellation

 This origami tessellation is sort of an exercise in how much chaos can be contained in a single sheet of paper. It also features an interesting illusion. When you look at it, it a...

Jordan Triangle “Black/Metallic Silver” Goes Icy Underfoot

The Jordan Triangle is getting another mostly black option after making its debut with Cameron Boozer. This pair mixes Black and Metallic Silver across the upper, then adds an icy...

Eulerian circuit on a triangular grid with no U or left turns

Here are some related questions. An equilateral triangle of side n is divided into n2 unit equilateral triangles as shown below (n = 7 in this example). You can see that every ve...

Bats in the Attic Origami Tessellation

 This one is a little different design. It uses a combination of three different kinds of triangles. It has right triangles, small triangles and double size triangles. They all col...

LaTeX package for Pascal-like triangles

When I wrote about the harmonic triangle yesterday, I displayed the triangle left-aligned using fixed-width text because that was easier than producing the format you usually see f...

Convection Ovens Original Tessellation

This particular original tessellation is a little strange. When you first look at it, it doesn't really appear to have repeating elements. However, if you look horizontally, then...

Pumpkin Patch Origami Tessellation

 This new tessellation is tuck based. There are a few configurations that I gravitate toward when coming up with new designs. One of those is a set of four triangle tucks. This con...