Geometry

Andy's picture

Truncated Icosahedron - Soccer Ball

Submitted by Andy on Sat, 01/03/2014 - 17:01
Truncated Icosahedron

Quite a few geometry software can produce complicated geometrical objects. The Platonic solids and Archimedian solids for example, can be produced using dynamic geometry systems (DGS). If so, the process would be brilliant but complicated ways of formal Euclidean  reasoning. In VRMath2, similar reasoning may be used, but because it has a Logo programming or turtle geometry capability, most of these complicated geometrical solids can actually be constructed by moving locations and turning directions.

Andy's picture

VAM Temple project

Submitted by Andy on Thu, 06/02/2014 - 12:42
VAM Temple

The VAM Temple project was completed by 3 primary school students (Year 5, aged 9) in 2003, using the archived VRMath 1.0 application. The Logo program they wrote at the time can still run in the new VRMath2 Editor with few modifications. You can try to recreate it in the VRMath2 Editor, by openning the  vam_temple.logo in the Logo Editor and executing the program.

Andy's picture

Virtual Art Gallery

Submitted by Andy on Tue, 28/01/2014 - 12:02
Virtual Art Gallery

Ever wanted to have your own Art Gallery? Well, you can create your own in VRMath2 Editor and share on VRMath2 Community blog to your friend. After few hours of Design and Create, I am happy to share with you my first Gallery.

Andy's picture

Snowman

Submitted by Andy on Sat, 21/12/2013 - 00:38
Snowman

There are many different looking snowmen, I think this is a classical one.

I utilised the available 3D objects in VRMath2 Editor to create this snowman. The placement of objects requires clear thinking of location and directions. Objects also need to be scaled. A couple of trial and error should work out suitable scales.

Knoblauch's picture

Vectors in 3 Dimensions

Submitted by Knoblauch on Thu, 31/10/2013 - 16:30

Vectors in 3 Dimensions

Mathematical background

In mathematics a vector has a magnitude (length) and direction expressed as an ordered list of tuples (x, y, z). It is sketched as a directed line segment (arrow). Unless otherwise given, a vector does not impart information about location (when studying in secondary education, we use the origin (0,0,0) of a set of axis as the initial point of a vector.

Knoblauch's picture

Octahedron

Submitted by Knoblauch on Wed, 07/08/2013 - 17:22
Octahedron

Octahedron is the third platonic solid. It consists of 8 faces (each is an equilateral triangle) and 6 vertices (each at the meeting of 4 faces).

Knoblauch's picture

Tetrahedron

Submitted by Knoblauch on Fri, 02/08/2013 - 15:56
Tetrahedron

The tetrahedron has the smallest number of faces in the five Platonic Solids, having only 4 faces. And in fact, four faces are the minimium requirement for a polyhedron. Other features of tetrahedron includes:

  • Each face is an equilaterial triangle
  • Each vertex is the meeting of 3 faces

Andy's picture

The infinite mobius space

Submitted by Andy on Tue, 30/07/2013 - 21:33
Man walking in Mobius space

What if the world is a Mobius ring? Then would this man even walk to the end of the world?

A normal wrist band has inside and outside faces. If we cut the band, twist it 180 degrees then reconnect the band, then we have created a Mobius ring (or Mobius strip). A Mobius ring has only 1 face. You can observe the man walking continuously on the inside to outside, then inside, and outside again and again.....   

Knoblauch's picture

Hexahedron

Submitted by Knoblauch on Mon, 29/07/2013 - 13:57
Hexahedron

Introduction

Platonic solids are polyhedron which satisfy 3 conditions

  1. all its faces are congruent convex regular polygons,
  2. none of its faces intersect except at their edges, and
  3. the same number of faces meet at each of its vertices

Hexahedron

The most commonly recognised platonic solid, also known as a cube. 

xiezuoru's picture

魔比斯环

Submitted by xiezuoru on Fri, 26/07/2013 - 23:45
Mobius ring

魔比斯环也称麦比乌斯圈。麦比乌斯圈(Möbius strip, Möbius band)是一种单侧、不可定向的曲面。因A.F.麦比乌斯(August Ferdinand Möbius, 1790-1868)发现而得名。将一个长方形纸条ABCD的一端AB固定，另一端DC扭转半周后，把AB和CD粘合在一起 ，得到的曲面就是麦比乌斯圈，也称麦比乌斯带。