Geometry - Helix (Helicoid)
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From Wikipedia:
"Helix A helix, plural helixes or helices, is a shape like a corkscrew or spiral staircase. It is a type of smooth space curve with tangent lines at a constant angle to a fixed axis. Helices are important in biology, as the DNA molecule is formed as two intertwined helices, and many proteins have helical substructures, known as alpha helices. The word helix comes from the Greek word ἕλιξ, "twisted, curved". (A "filled-in" helix – for example, a "spiral" ramp – is called a helicoid.)" DNA - single Attachment 56032 DNA - double Attachment 56031 "Alpha Helix" https://en.wikipedia.org/wiki/Alpha_helix "Archimedes screw" shown in operation http://www.incois.gov.in/Tutor/scien...re10/screw.gif Auger Attachment 56033 HELICOID Attachment 56034 Attachment 56036 Attachment 56035 Helicoid - Spiral stair: The designer developed his stair section, thus: Attachment 56037 Made the shape into a heavy wood mock-up, maquette or "buck." 2X6 + 1in ply glued and screwed, then CNC milled in appropriate router-machine: Attachment 56038 And with some hammering here and there .... boom - whacka-whacka .... Attachment 56039 :):) |
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http://www.rockx.net/prod/pics/cskath04.jpg
The front side of this lectern has a helix shape. When I made it I found that it is pretty much a reverse. If you stretched one side in a wheel you would rotate the panel 180 degs and stretch the other side. For a helix you flip the panel so that it's rotated and upside down. Pull up a bit while wheeling and you'll get a helix. Attachment 56049 |
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Jo Joris, Ja, I sure had to know more about linear shaping to put this job in a twist. :) But this was not quite like other familiar reverse weirdness ..... Attachment 56050 :confused: |
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In the beginning ...
I had to grasp the nature of a shaped panel that twisted. Attachment 56051 And yet remained flat ... :confused::o:eek: So, the panel started out flat. This part was easy. Attachment 56052 I laid out my lines of shape, and I made a plan. Attachment 56053 And I worked my plan. Attachment 56054 And I stuck to my plan Attachment 56060 Check fit. hammer hammer .... Check fit Attachment 56061 ...and so on ..... ... not there yet ....:o |
Fascinating work there, Kent. Definitely not an 'everyday' job!
Did the sheet stiffen up some as the shape was induced? Also, did the final product need to be smoothed, and if so, how did you planish, or intend planishing, all the little hammer marks? TX;) |
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No Manny, not an everyday job - except when it happens everyday .... for weeks on end ... :p
Attachment 56075 Attachment 56076 Attachment 56077 Attachment 56078 Attachment 56079 Attachment 56083 Attachment 56081 When the shape wilds the panel sandbags are used to calm things down. Attachment 56082 Yes, the 1.5mm (.063) steel hardens with hours of hammering. And yes the panel flip-flops quickly ... snapping hard enough to bite unwary fingers.:( Yes, it is a fight to push-pull the 40 lb 20sq. ft panels forth and back, accurately - with the added weight of the bags :D ... and with all that the panel has to be physically twisted to align nicely with the dies when hammering .....:lol: Oh ... planishing ... yeah I have die sets for that sweetness ... :):) |
this is absolute world class.
end of the flagpole incredible |
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Vielen dank, Bernhard! :D:D |
While the geometry lesson may be lost on me, the ability to think (and work) big is obvious and impressive. Not to mention... that just looks like hard work!:eek:
Interesting. Looks good.:cool: |
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Thanks Matt. It feels like hard work, too. :o Planishing "seasick" contours ... was a challenge. Attachment 56153 Had to come up with a "sailor" die set. Attachment 56154 Something that can sail smoothly across the waves ...:) Attachment 56155 Navigating rough spots ... Attachment 56156 smooth sailing ... Attachment 56157 And so I modified one of our #6 air motors to hit softly ... Attachment 56158 and it changes out in a few seconds, uses the same air pressure, and on we go ...:):) |
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