#isometric projection

[knotty-et-al]

You can insert an icosahedron inside an octahedron.

If the edge length of the octahedron ist 1 + Phi (1.618), the egde length of the icosahedron is SQRT(2).

A friend showed me this picture by Casey house:

[Source: Caseys website ]

And I had to draw it in isometric projection.

Very neat.

One could also make that even further and put an octahedron into the icosahedron and so on...

[knotty-et-al]

A visual study of the Icosahedron inside an Octahedron - and the remaining tetrahedral modules

The tetrahedral modules:

Buckminster Fuller came up with these modules and called them "S modules" or "S quanta modules".

Here is a helpful summary:

[Source (PDF) | A Fuller Explanation: The Synergetic Geometry of R. Buckminster Fuller, 1987]

[knotty-et-al]

Rhombicosidodecahedron and its dual, the deltoidal hexecontahedron

I constructed the rhombicosidodecahedron from a truncated icosahedron (red lines, truncations are violet)

Marks of the deltoidal hexecontahedron's vertices:

[knotty-et-al]

Pentakis Dodecahedron

This one turned out not so well... The light grey of its dual, the truncated icosahedron, is far too dark and hence too visible.

And i made a tiny mistake regarding two vertices (in the picture: below the center, but in the middle)

Most catalan solids look not so aesthetically pleasing in isometric projection with these viewing angles as they look too symmetrical and it is difficult to identify a 3-dimensional shape in this "line soup".

As these drawings only contain the edges of these solids, I might add shading to each catalan solid once I will have drawn all 13 catalan solids and will have scanned them. After creating clean digital files I might start to shade the originals. (i do not know yet which medium I want to use, preferably either pencils or creating shade effects with thin lines of ink... ) [When I have clean files i can print/copy the grid drawings quickly and cheaply - so I can experiment more. If i have already shaded them and print/copy the shaded ones the prints will be less cheap (consume far more ink) and the printing quality might suck.]

[knotty-et-al]

Pentagonal icositetrahedron in isometric projection

(^front view, v back view)

Front and back view simultaneously:

The pentagonal icositetrahedron is the dual polyhedron of the snub cube.

It consists of 24 irregular pentagonal faces.

[knotty-et-al]

Truncated tetrahedron stitched on hexagonal rag made of 127 wooden beads [front and back]

[knotty-et-al]

So, today I finished drawing the Archimedean solids.

(and I also realized I wrote "Archimedean" wrong all the time... )

Dats all dese shapes I have drawn, resized with my printer to make them fit in their tiny 3x3cm spots on dat sheet I made:

(Now we could make shape soup, shall we? And then we might call dat soup "shape soup Archimede speciale" /silly)

[indovance]

Guide to Understanding Projections in Engineering Drawings - Indovance Blog

A geometrically represented image (visual image or figure) of an object obtained on a surface or plane is referred to as a projection in an

Engineering drawings are a richly detailed method of representing three-dimensional things on a two-dimensional surface such as paper or a computer screen.

This can be accomplished by providing a variety of views of different sides of an object in a single image or by representing all three dimensions of an object in a single image.

The use of engineering drawings to represent objects culminates in construction drawings. Every engineer must be able to read and interpret drawings and the information included therein.

We must understand the spatial relation between 3-D projections and Multiview projections. Let’s look at the projection system & types of projection in engineering drawings. 

Read the Full Article Here - https://www.indovance.com/knowledge-center/guide-to-understanding-projections-in-engineering-drawings/