1d to 3d part 3

 

1. Diagram for compact version

2. All the assemblies shown here were made on this jig

3. Compact tessellation

4. Corner connected tessellation from radial and diverging triangular units.

5. Edge connected tessellation from radial and diverging triangular units.

6. Edge connected octahedron from radial and diverging triangular units. Refer small ovtahedron, red - diverging, blue - radial.

7, Another view = Edge connected octahedron from radial and diverging triangular units. Refer small ovtahedron, red - diverging, blue - radial.

8. Corner connected octahedron from radial and diverging triangular units. Refer small octahedron, red - diverging, blue - radial.

9. Compact Octahedron

10. Compact Octahedron calcs

Hi 

Following on from my last post on this, I have worked on 6 piece sides made with an irregular hexagon jig (pic 2), introducing a new "compact" version where 4 stick ends allign along the edges of an equilateral triangle (pics 1, 3, 9, 10). The work includes making mixed (diverging and radial sided) octahedra of 2 types, drawing tessellations of 3 types, and calculating the geometry of the compact versions.  

I'm proud of this effort of drawing and calculation. When placed on the jig at stick centre position "X", the stick ends (modeled by their centrelines) assume heights H1 and H2 which can be calculated from the assumed stick length L = 172 and the jig / side geometry and the length "X". 

As a first step to getting the ends colinear, X is calculated for the colinear condition H1 = H2 = H.

With expressions for H1 and H2 which are equal, X can be found. Then by putting this X into expressions for either H1 or H2, H can be found. Calculated results for X and H match Cad results almost exactly. For maths purists, all the angles should be in radians, but I don't think it makes much sense here! For example, 10 degrees = PI / 18 radians, much more cumbersome! 

Novelty pencil airlines

 

When my friend and I were on our way home from my cousin's funeral last Friday and, we dropped in on a cemetery, one coffee shop and two Op Shops. We spent a while at the first Op Shop and I had perused the DVDs, CDs and perused and selected several books. My friend was going through all the dresses skirts and shoes, and wasn't done when I had just about seen everything I wanted to. But a bundle of pencils caught my eye they included novelty pencils with two rubbers on one end "HAMMER OUT YOU CLEANING NEEDS".

It wasn't till later when we had convened at the coffee shop later that we found out the bundle also included novelty pencils with a rubber at each end "THIS PENCIL WAS MADE ESPECIALLY FOR OUR COMPETITORS TO WRITE QUOTES” or “THIS PENCIL WAS MADE ESPECIALLY FOR OUR COMPETITORS TO WRITE NEW BUSINESS ". Of course I fiddled around with the pencils at the coffee shop trying to get them to stand up on their ends or balance them in some sort of tower. That night I passed a set of the pencils on to our friend Christine at her place over dinner. The next day I was busy but later while bored watching the TV (this was Saturday night) I started assembling the pencils together with a fold back clip and after a short amount of time came up with and aeroplane on a stand. 

This looked quite good but just needed a tail for the plane – I made one out of sticky tape (pic 1) but wasn’t satisfied. A few days later and a “proper” tail is complete along with a lame joke along the lines of what is written on the pencils. Cad pic made using Bricscad.

Regards Steve Nurse