I have this question on tesselations,
I got some homework and one of the questions are:
A tesselation with the notation of schlafli of {3,3,4,4}.
What formes are at the vertex.
Draw a tesselation of it.
I have been trying to figure this out for 30mins now and i just can't figure it out.
Another question,
Do the schlafli notation's only apply to regulier and and semi-regulier tesselations?
I am sorry that nobody has responded to your question earlier.
Since this is not my area of expertise, I searched Google under the key words "tessellations" to get these possible sources:
http://www.tessellations.org/
http://mathforum.org/sum95/suzanne/tess.intro.html
http://www.coolmath.com/tesspag1.htm
http://en.wikipedia.org/wiki/Tessellation
I hope this helps. Thanks for asking.
I apologize for the confusion caused by my previous response. Let me try to help you with your questions about tessellations.
1. A tiling or tessellation with the Schlafli notation {3,3,4,4} means that at each vertex, there are three triangles, followed by three more triangles, followed by four squares, and then four more squares. The Schlafli notation describes the arrangement of shapes around each vertex in a tessellation. In this case, it means that the vertex is surrounded by alternating triangles and squares in a specific pattern.
To draw a tessellation with this notation, you would start by drawing a triangle, followed by another triangle adjacent to one side of the first triangle. Then you would continue by drawing a square adjacent to the other side of the second triangle. Repeat this pattern of alternating triangles and squares until you have completed the desired tessellation. Each vertex should have the same arrangement of shapes as described by the Schlafli notation.
2. The Schlafli notation can be used to describe regular tessellations, where all the polygons are the same shape and size, such as regular hexagons or squares. However, it can also be used to describe semi-regular tessellations, where multiple types of polygons are used and each vertex has the same arrangement of polygons. The Schlafli notation gives information about the types of polygons and their arrangement at each vertex, regardless of whether the tessellation is regular or semi-regular.
I hope this explanation helps you understand and answer your questions about tessellations and Schlafli notation.