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"Viaducts" 20 Interlocking Triangles + Self-Interlocking Icosidodecahedron 210 units
5-fold view.
It has been a bit since I posted anything new, not because I have not done anything new (quite to the contrary), but rather because most of my new work has been confined to my second book, on decorative modular kusudama origami, which is now finished its first draft.
This structure is (as far as I am aware), the first ever combination of a woven solid (the "self-interlocking icosidodecahedron") and a compound (the "20 twenty triangles") in a single composition. I have previously disliked compositions of multiple compounds together, on account of their non-homogeneity, but here they are visually integrated rather well. In many ways, this is visually similar to "Inconceivable," but this model is considerably more airy and open, in spite of its complexity. This was not my first plan for this weave, but I think it turned out well enough. The names refers to the crimped 2-fold axis units which form bridge like shapes that remind me of viaducts.
Designed by me.
Folded out of copy paper.
A northbound Hiawatha Service train slams the diamonds at Grayland Crossing on Chicago's northwest side. Metra's Milwaukee District North Line crosses UP's former CNW "40th Street Line" here, once an important route to 40th Street Yard, but long since singled and truncated north of Cragin to serve a few industries. Interlocking piping and cranks remain hidden in the brush here- who knows how long they've been dormant for.
Designer & folder: Michal Pikula
Paper: 80gsm copy paper (Optix, Quill)
Unit: rectangle 1:2, rectangle 1:3.6
120 units
Folded in February 2014
It is possible to make variations by changing paper ratio, adding more cubes or interlock them different way.
When the interlocking signal is pulled into the clear position the distant signal changes from yellow to green. When the interlocking signal is at stop, the distant signal shows "proceed, prepared to stop"
NS Lima District northbound crosses the former DT&I main at Morris Interlocking in Lima. The six axles make a sweet sound as they clump across the diamonds.
I have never seen this type of building block. If you know something about it, please share your knowledge with us.
I wonder whether this system any stronger than traditional bricks. The overlap makes it seem as if it is. If the blocks were actually in contact with one another (and even connected), then it might be effective. However, since the blocks are separated by a layer of cement, isn't the wall only as strong as the cement itself?
I'm no structural engineer, and there may be something I'm not picking up on that makes this system superior. However, if it were better, why is it this is the first time I have ever come across it in over four decades of looking at old buildings?
Goldendale, Washington.
Foreman Jim Bottoms continues his trek northward after getting permission to pass thru the "Wabash" Interlocker at Shops. I&M employees have recently been referring to the Norfolk Southern crossing interlocking using this name. I don't know if the name has been officially changed, or if I&M employees are just having a bit of rail history fun.
this is the interlock. The receiver takes up a 4x4 footprint and is two bricks high. there is a technic link made from two 1x8. technic bricks. The axle part makes the lock.
Origami model designed and folded by Peter Stein, September 2017
The paper I used is handmade by John Gerard (wonderful paper!)
The locking mechanism is borrowed from Jeremy Shafers "interlocking rings" (he really shows two rings in his model, mine is just giving the illusion of two rings) - it was folded for a silver wedding of two friends,
wetfolded from a square piece of paper (19x19cm).
Twenty Interlocking Irregular Hyperboloidal Dodecahedra 600 units
3-fold view.
This is the first working iteration of my magnum opus wireframe project for summer 2022: a supremely complex compound of 20 irregular dodecahedra. This is the icosahedral/dodecahedral symmetry extrapolation of the compound of 8 Dodecahedra I designed a month or two ago. Here, each dodecahedron corresponds to a single 3-fold axis representing the face of an icosahedron (or a vertex of a dodecahedron). This design also illustrates the importance of scaffold construction methods: assembling a model such as this a frame at a time is simply impossible, as the innermost vertices are deeply imbedded within the model. I believe that this is the largest ever compound of polyhedral frames. Designing this model was a considerable effort- this is version 4.5, and it could really use a refold.
Designed by me.
Folded out of copy paper.
NS 5310 passes Morris Tower as WPBS-03 rolls through Morrisville, PA, off the NEC and onto the thorofare track and back onto CSAO rails. August 1, 2018.
The BNSF Hill Track (at left) located near 19th Street and Western Avenue connects the NS CJ Mains with the BNSF Chicago Sub at Western Avenue interlocking. The track on the right leads to BNSF's Western Avenue Yard.
“Occulere” 12 Interlocking Variable Width Edge Dodecahedra 360 units
2-fold view.
I initially anticipated this as a different easy compound of 12 dodecahedra, but the proportions were not long enough, so I tried an alternate assembly, which was fortuitously perfectly proportioned. However, I quickly suspected that the weaving here was largely identical (the other enantiomorph, perhaps?) to Dirk’s compound of 12 dodecahedra from a few years ago: Origami exhibition in Mölln | 12 regular Dodecahedra Just an… | Flickr .Thus, to give it a bit of variation, and to make this wireframe a bit different from others, I capped the outer pentagons with variable width edges. Unlike most wireframes which promiscuously reveal their interior structure, the inner weaving is concealed here, hence the nickname “occulere” which means “to conceal” in Latin. This variation, of course, hides the weaving, but that is a welcome change on rare occasions.
The paper proportions used for the regular units here are 1.0625x3.667, convenient for those starting from 8.5x11 copy paper.
Designed by me (and possibly independently by Dirk Eisner).
Folded out of copy paper.
Brought to Selby depot in early summer 2018 is Optare Solo YJ08 XBF which has been transferred from Durham County in exchange for one of the 61-plate Solo's, and is one of two which have been swapped. As well as being slightly longer than the outgoing Solo, this has also been given the new Arriva corporate livery complete with 'interlocking rings' logo. Seen at York rail station with a 26 to Fulford, the full-size rear destination has now also been programmed to a working condition.
Interlocking tower in Bangkok's Hua Lamphong station. The tower was built in 1971 and is going to be closed in the near future.
Interesting building in Shanghai by British architect built in 1930's. It was a food manufacture originally and has been converted into commercial use recently.
For FCF we'll just look at a couple of classic logos like this one on a VTR 40 footer shoved to (and through) the end of a spur in Florence, Vermont
NS Southbound Freight Train 339 ( Birmingham, AL to Meridian MS ) passes through 32nd Street Interlocking in Birmingham, AL
OUSA 2022 Display These are the models I would have displayed at the OUSA Convention. All were designed by me within the last year.
Models:
1. Inconceivable
2. Twelve Interlocking Wrinkled Distorted Pentagonal Dipoles
3. Twelve Interlocking Elongated Pentagonally Distorted Dipoles
4. Twelve Interlocking Gyroelongated Digonal Dipyramids
5. Thessalonia Kusudama
6. Capstone Kusudama
7. Twelve Interlocking Gyroelongated Digonal Dipyramids #2
8. Six Intersecting Irregular Hyperboloidal Diminished Elongated Square Cupola
9. Five Interlocking Dodecahedrically Augmented Tetrahedrally Distorted Skew Rhombic Hexahedra
10. Thirty Interlocking Irregular Hyperboloidal Hexagons
11. Susiana Kusudama
12. “Viaducts” Twenty Interlocking Triangles + Self-Interlocking Icosidodecaedron
13. Thirty Interlocking Irregular Hyperboloidal Octagons
14. Twelve Interlocking Isosceles Triangles
15. “K12” Sixty Interlocking Triangles
16. Thirty Interlocking Tetrahedra
17. Eight Interlocking Dodecahedra
Car park, Nottingham – a slightly different perspective on an image I uploaded last year. © All rights reserved 2013
This image must not be used on websites, blogs or other media without my explicit written permission - failure to do so may incur copyright infringement notices/publication fees.
the go-kart racing track was right beside the roller-coaster (both are now disassembled) in this abandoned amusement park
For 1000 lire (half Euro, at that time) one could race for 5 minutes. But It was never enough, and we kept spending our hardly earned "student" money.
Go-kart racing can be tricky especially if you want to finish among the firsts.
In fact, to keep high speed, you'd better push the break pedal with your left foot without releasing the gas pedal (gas pedal stays pushed down all time).
By doing so the kart slows down approaching curves but the engine doesn't lose its torque therefore you're quickly at top speed again when exiting form the curve (after releasing the breaks that is)
this is what we guys called "a tavoletta" driving stile (impossible to translate)
this way of driving is efficient but puts a lot of stress on breaks.
the go-kart track manager quickly discovered this "dirty" driving stile and, to our surprise, put an interlock between the break and the gas pedals so that the gas would automatically disengage on every break push.... and you had to rise your right foot to engage gas again
I twas a bad thing, we almost lost any interest in kart "racing"
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the "insomnia" mission with Marco75
“K12” Sixty Interlocking Triangles 180 units 5-fold view.
I have wanted to fold a macro-polygon expansion of K2 for some time now, and have hoped that such a construction in origami edge units might accommodate a non-trivial weaving assembly. I believe his is also the first non-trivially woven macro polygonal construction whose macro-edges do not possess 180 degree rotational symmetry. In Lang’s K2, each edge, although fulfilling his qualifications for a polypolyhedron, does not possess 180 degree rotational symmetry like Annapurna, Gasherbrum, Makalu, etc. This is actually quite significant: I wondered whether such a construction would require unfeasibly thin paper proportions. All of the previous macro units have utilized such rotational symmetry. The fact that this was possible open up future possibilities, which I will explore more over time. There are three layers of weaving in this design: the weaving of the individuals triangles into macros, the weaving of macros in tetrahedral constructions, and the weaving of tetrahedral constructions around each other into a “macro FIT.” This was modestly challenging to assemble, but not exceptionally difficult. The paper proportions are nearly as thin as I would be comfortable folding, and yet about as thick as can be comfortably assembled. For anyone who might want to attempt this, I here used .875”x11”, which amounts to ~1:12.57. I would recommend dropping to .8125”x11”, which amounts to ~1:13.53, although the version as rendered here is sufficient. In terms of naming, I have no idea what the "K" series is up to now, and this isn't a 20 compound, but the model is so closely related to K2 that it would be ludicrous not to relate it in name as well.
Designed by me.
Folded out of copy paper.
Looking out the door glass from the long gone 14th Street interlocking tower that controlled crossing rail routes near downtown Birmingham Alabama. Occasionally, a tower operator would allow a railfan inside until another crackdown on unauthorized. I could not resist taking a shot from the wrong side of the door as a L&N train passed. Scanned from a June 1980 Ektachrome Slide.
40 Interlocking Triangles 120 units In my hand. Over the years I have folded compounds of 20 and 30 triangles, so in honor of OrigamiUSA’s 40th anniversary “40 challenge”, I present a compound of 40 triangles. It has been a few months since I have produced a project which I would consider a “magnum opus.”
Here, two pared triangles each represent one face of an icosahedron, and each of the two in a pair are rotated with respect to each other. Obviously, this means that the 40-compound of triangles is actually two 20-compounds combined, and given their relationships, I’m sure each of the two “20-compounds” are polypolyhedra (I’m not sure which polypolyhedra they might be- I think one set of 20 might be pph#52). However, I designed the structure as a single unit, and all of the triangles share the same proportions. I particularly like the 5-fold axes, which almost incorporate a pseudo “10-fold” axis.
I don’t know whether anyone besides myself would endeavor to fold such a compound, but in case anyone is curious, the proportions used here are .75”x7.75”(1:~10.33). Since space has become an issue for me, I often fold with rather thin proportions these days. The finished model is ~8.5” tall, which is not bad for a construction of this magnitude. I would say that weaving didn’t seem too complex to me, but I don’t know how much that means anymore.
Designed by me.
Folded out of copy paper. (Some of it was 65lb pastel paper, so if the units look distressed, that is probably the reason.)
NS 3565 works a short local job as it pulls towards the signals at the WABIC diamonds with a short string of cars for the CSX and the Staley (Tate & Lyle) plant.