Equilateral Triangles

It's Monday, and once again it's time to highlight some of the community submissions posted to the Math Craft corkboard. In addition, I thought we'd take a look at having fun with the geometrical properties of polygons and circles by using one of the best circles I know, the p ...more

After Cory Poole posted some great Escher snowflakes, and Cerek Tunca had the great idea of using it as a base for a tetrahedron, well, I just had to give it a go. I will post a few more pictures and variants later (I think this was what Cerek was envisaging—if not let me know ...more

Last Thursday's post demonstrated how to Make Yin-Yang Pillow boxes, which were based on equilateral triangles and squares. The units for making these boxes were created by Phillip Chapman-Bell, who runs an amazing origami blog and has a spectacular flickr photostream. Using t ...more

What is fractal? Well, it's a geometric shape which sometimes is hard to draw but looks very nice. There are some fractals which are easy to draw for example Koch snowflake or Sierpinski triangle: Drawing Koch Snowflake: Draw a equilateral triangle (every side is equal) On e ...more

Last post, we looked at fractal cookies based off of the recipe by Evil Mad Scientist Laboratories. In this post, we'll follow their recipe for fractal cupcakes based off of the Koch Snowflake, which we used previously to decorate pumpkins for Halloween. This past Sunday, I d ...more

It's Monday, which means once again, it's time to highlight some of the recent community submissions posted to the Math Craft corkboard. I also thought that we'd try and create something known as an "Orderly Tangle" or "Polylink". This week we had a few submissions based off ...more

In Monday's post, we created a sliceform model of a hyperbolic paraboloid. In today's post, we will create a similar model using skewers. The hyperbolic paraboloid is a ruled surface, which means that you can create it using only straight lines even though it is curved. In fac ...more

Each curved module replaces the equilateral triangle of a simple octahedron. Inspired and copied from Cory's post with original artwork by Richard Sweeney

Can you dissect an equilateral triangle into pieces that can be rearranged into a square? If you think you can, you may have mastered the Pythagorean theorem. Can you figure out how to draw a straight line without a reference edge? If so, you might just be the pioneer of the ...more

Halloween is coming up, so many of you may have a need or desire to carve a pumpkin and turn it into a Jack O' Lantern. This week we are going to explore carving our pumpkins into interesting geometric shapes. In this post, we will carve the pumpkins into spherical versions of ...more

Fractals and stars are two of the most beautiful and complicated-looking classes of geometric objects out there. We're going to explore these objects and how to carve them on a pumpkin. Unlike the last one on carving polyhedral pumpkins, where we used the entire pumpkin to car ...more

It's Monday, which means once again, it's time to highlight some of the recent community submissions posted to the Math Craft corkboard. In this post, we'll also make a flexagon, which is a type of transformable object. Rachel Mansur of Giveaway Tuesdays posted several pictur ...more

There's a set of drawing tools that have been available for a long time on the iPhone that helps you create handwritten notes and sketches. It's great when you need a free-form way to capture your ideas, and now it's even better. Apple added shape recognition in iOS 14 so that ...more