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Prisms and Antiprisms

Submitted by dpietrobon on Sat, 01/03/2025 - 15:36

A prism is a 3D shape with two matching polygonal faces connected by straight edges.

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Regular Polygons

Submitted by dpietrobon on Sat, 22/02/2025 - 14:06
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A polygon is a closed shape formed by straight lines. A regular polygon has sides of equal length and angles of equal size. Convex regular polygons are the common shapes we associate with 3, 4, 5, or more sides, such as the equilateral triangle, square, pentagon, hexagon, and so on.

 

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Andy's picture

3D Snowflake

Submitted by Andy on Fri, 29/12/2023 - 22:44
Koch's snowflake extruded

It is Christmas season, and it is deadly hot in Brisbane today (29 December 2023) at 39 degrees celsius in the southern hemisphere. I miss and wonder a snowy Christmas in norther hemisphere could be like. Perhaps making a snowflake could cool down my mind. It is also after about 2 years that I have not blogged in this VRMath2 website.

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Farewell 2021 with 3n+1

Submitted by Andy on Fri, 31/12/2021 - 13:28
Graph for 2021

The Youtube algorithm one day pushed a video "The Simplest Math Problem No One Can Solve - Collatz Conjecture" to me. After viewing the video, I thought that my VRMath2 could easily visualise the 3n+1 graph with its LOGO programing. I am happy that my VRMath2 application is still working after almost three years in low maintenance mode. With some simple coding. I have written a LOGO program that can take a number (natural number) and the turtle will draw its 3n+1 graph. The 3n+1 problem is simple. It starts with a natural number; if the number is odd, multiply it by 3 then add one; if the number is even, the number is divided by 2. These rules apply until the resulting number is one. It is interesting that it seems any given natural number will end with 1 after applying the 3n+1 rules, but how?