A Klein bottle only makes sense if it’s transparent so you can see what’s going on inside. Not that easy to make transparent/translucent 3D prints. Here you can see 3 different Klein bottle prints using an Anet A6 3D printer and Rigid.Ink Trans Blue PLA filament.
The leftmost bottle is a 0.8mm solid double-wall print – even back-illuminated you cannot see what is going on inside.
For the middle Klein bottle – I have cheated. That is a 0.8mm solid double-wall print of a half Klein bottle – the bottle has effectively been cut right through the middle, at least that way it is clear what is going on inside.
The right-hand Klein bottle is a 0.8mm SINGLE-WALLED print! Being translucent you can at least see what is going on inside.
I think we need a 3D glass printer to get what I’m really after.
The longest print I have made to date! This is a 115-hour print of a 4th order Menger Sponge 122mm on a side. Printed on an Anet A6 3D printer using Rigid.Ink white PLA.
I’m not sure if I will go for a longer print time than this again, it was a pretty nerve-wracking experience, particularly once it exceeded the 100-hours.
Just about half way through a 100-hour mega-3D printing session.
The latest 3D prints are the objects in blue.
Can you spot – T Rex skull, Reuleaux Tetrahedron, nested Dodecahedra, small Klein bottle with very thin walls?
In Rigid.Ink Trans Blue filament we have a 42 hour long print of 4 nested Dodecahedra.
0.4mm nozzle and 0.2mm resolution.
It will take about a week to remove all that support structure.
The cup with the funny bit in the middle is a Pythagorean Cup – 3D printed – 13 hours and 160 gramme of filament.
A Pythagorean Cup is a weird beasty – it prevents piggy drinkers. If you fill up the cup to below the line on the rim (below the top of the domed piece in the middle) then you can drink from the cup, no problem. If you fill the cup to above the line, then a siphon (which is within the domed piece in the middle) will empty the cup through a hole in the base all over your lap.
The 3D printer has been working overtime recently turning out fractals. Here we have Sierpinski (triangles) and Menger (square) sponges.
These objects are 4″ on a side, the Menger Sponge is 4th order and the Sierpinski Sponge is 6th order!! Both are 0.2mm resolution printed using white Rigid.Ink PLA and a 0.4mm nozzle.
The Sierpinski Sponge was a modest 30-hour print and the Menger Sponge was a humungous 65 and a half hour print.
I am thinking about printing a 5th order Menger Sponge, again around 4″ on a side – but this will take around 90-hours in total.
May also print a larger Sierpinski Sponge at higher resolution (0.1mm).
I have just been disgusted to see that Dame Glynis Breakwell, the VC of Bath University, is taking home £451,000 a year!!
As someone who spent a little less than half their career in Industry, and a little more than half their career in a University (Professor of Photonics at the University of Southampton for 23 years) I think I am fully qualified to comment on this vulgar Dame Glynis Breakwell revelation.
In “business” I have seen the CEO and the company chairman raking in huge salaries for doing 2/3rds of bugger-all, whilst the people that do actually make the company work, slog on with mediocre pay. And as our Universities have slowly morphed into “businesses” we are of course seeing exactly the same thing happening there. It is the Academics that do the teaching AND bring in the grant money – not the Administrators. The Academics themselves could very easily handle the University administration (they do most of it anyway), and if not a full teaching academic, then an academic nearing the end of their career who would like to remain within the Ivory Towers for their last few working years. Similarly it would make sense if the Vice-Chancellor was an academic of the University who has been there man and boy (OK woman and girl if you really must) – then they might actually be able to make more sensible, more well-informed decisions regarding THEIR University than some plonker pulled out from a totally unrelated “business” on the other side of the planet.
Another marathon mathematical object run for the 3D printer – this time the Roman Surface (seen here in front of a Klein Bottle).
I had generated this surface years ago using Mathematica and had spun the object around in 3D, but still couldn’t quite assemble the thing in my head. Now I can hold it in my hand I can see it clearly.
The 3D printer has been taking such a hammering with these extremely long prints that the X Y bearings are now sounding a bit klunky. New bearings are on order.
I have been into Mobius (Strips) Loops since about 15. Not only is it single surface but it is also single edge. Now soap films have an amazing property. Dip a 3D structure (wire mesh type) into a soap bubble solution and the soap film covers the MINIMAL SURFACE AREA of the object!!! This is amazing. And it got a 15 year old to thinking – what happens if I dip a Mobius Loop into soap film?? As it only has one edge and one surface the soap film is going to run into trouble. Do I generate a time-warp? Do I break through into another dimension?? These were the thoughts going through a 15 year old’s mind. So I did the experiment. No time warps – but a result I really wasn’t expecting at all. And yes it does form a soap film over the Mobius Loop – but how is that possible with only a single edge? I won’t actually be giving away the answer. If you want to know the answer – do the experiment for yourself