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This model is featured in figure 3.12 of Visualizing Mathematics with 3D Printing . Video . Stereographic projection is a map from the sphere to the plane: Imagine straight lines going from the north pole of the sphere down onto the…
Stereographic projection-Love 123D Deign： https://www.youtube.com/watch?v=tqWkFL4mNzw Print Settings Printer: cr-8 Rafts: No **Supports:** No Resolution: 0.2 **Infill:** 20 How I Designed This =================== Category: Art
The model can be resized, mine has 15 cm of diameter. It can hold a candle and the projection will change as the candle gets smaller. I can make custom projections! Send me a message and we can discuss it. Print Settings Supports: Yes…
This design was inspired by henryseg's Stereographic projection. I fell in love with the Hilbert curve and after seeing what Henry made I decided to make my own projection. Print instructions Category: Math Art Summary This design was…
This model is featured in figure 3.13 of Visualizing Mathematics with 3D Printing . Category: Math
This is a lamp that projects a hexagon pattern on the ceiling (or floor), created entirely in openSCAD. The pattern is customizable within the openSCAD script, and I've included an example of projecting squares. Parts: shade (printed)…
I made a customizable version of henrysegs ingenious design that uses stereographic projection to project a grid from a sphere to a plane: http://www.thingiverse.com/thing:202774 You can simply upload an image with the size of 75x75 and…
If a single point light is placed near the North pole of the sphere, a grid is projected in the shadow.
Stereographic Projection based on the excellent work shared here: https://jasmcole.com/2014/11/01/stereographic-lampshades/#more-650 I used Blender's "Solidify" modifier to add various thicknesses to this model for printing. I recommend…
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ This took over 2,5 days to render at a resolution of 500x500. Source of inspiration https://mcescher.com/ Category: Math Art
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ functions in polar coordinates: f(x) =x/15+sin(x?5)^2?2 g(x)=?x/15+sin(x?5)^2?2 Category: Math Art
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ functions in polar coordinates: f(x) =x/20+sin(x?50)/15 g(x) =?x/20+sin(x?50)/15 It's a little streched out as the x-axis was wider…
Created locally with: http://www.thingiverse.com/thing:1216198 and this script: http://jsfiddle.net/threonin/6dr8qu41/ It is 500x500 pixels, but finished while I was watching a movie, so it seems the script got much faster when I changed…
Highres version of http://www.thingiverse.com/thing:2078413 This allows using pictures with 85x85 pixels instead of 55x55, but it is also considerably bigger. I used these 10W power LEDs, here they come bundled with drivers:…
This projects a grid and additional concentric circles. High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Category: Math Art
This slides over a Mini Mag-lite 2 AAA LED flashlight to project an 8x8 checkerboard pattern. This is demonstrating stereographic projection. This can project huge squares of light across a room and is fun to play with, especially when…
Customized version of http://www.thingiverse.com/thing:296967 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=296967 Instructions Using the following options: outer_radius = 100 image =…
Created with http://www.thingiverse.com/thing:2094215 The lamp body of the original design can be used. Yellow is probably not the best choice for the projector, a darker filament would have been better to block out light at the "black"…
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Category: Math Art
This thing adds a simple lamp chassis for my stereographic picture projector v2: http://www.thingiverse.com/thing:1922547 The projector itself now has a thread to mount it to the chassis which can be easily replaced to experiment with…
Customized version of http://www.thingiverse.com/thing:418129 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=418129 High res version created locally with openscad and this script:…
Basically the same as http://www.thingiverse.com/thing:295281 but the form is no sphere but is flattened to some kind of mushroom shape. The customizer takes 75x75 images, but you must be very careful that no diagonally touching pixels…
By changing the resolution back down to 55x55 pixels I can actually slice the skull in Simplify3D! Printed fine without any tearing, it was probably due to the way too thin walls at 85x85. It is by default scaled to 88%, the lowest it…
Created with http://www.thingiverse.com/thing:2094215 The lamp body of the original design can be used. Print Settings Printer Brand: FlashForge Printer: FlashForge Creator Pro Rafts: No Supports: No Resolution: 0.3mm Notes: Printed in 9h…
Customized version of http://www.thingiverse.com/thing:418129 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=418129 High res version created locally with openscad and this script:…
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Category: Math Art
Revised version of http://www.thingiverse.com/thing:294899 Thanks to henrysegs tip the projection of the border region will now be much clearer. Wall thickness can be higher now without losing detail, all other instructions of the first…
Three sets of concentric circles overlap. High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Category: Math Art
Basically the same as http://www.thingiverse.com/thing:295281 but this time the bottom is flattened so it is easier to print. The customizer takes 75x75 images, but you must be very careful that no diagonally touching pixels occur, as a…
Stereographic projection - Penrose tiling
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Category: Math Art
Like http://www.thingiverse.com/thing:420714 but with the direction flipped along the diagonal to allow for easier printing. High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Big thanks…
This is basically the same as http://www.thingiverse.com/thing:295281 but with just 75x75 pixels instead of 150x150, this works in customizer just fine, maybe the highres version will work later, I filed a bug report for customizer. If…
High res version created locally with openscad and this script: http://jsfiddle.net/threonin/3j2c2pwe/ Category: Math Art
Customized version of http://www.thingiverse.com/thing:1216198 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=1216198 Instructions Using the following options: white_max = 0.95 build_plate_manual_y = 100…
Customized version of http://www.thingiverse.com/thing:1216198 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=1216198 Instructions Using the following options: white_max = 0.95 black_threshold = 0.01…
This is basically the same as http://www.thingiverse.com/thing:2191384 only it has the ability to insert a LED with a cooler. It will be located in the jaw directly at the north pole of the imaginary sphere. These are the coolers I used:…
Again big thanks to Joe Balint for suggesting to simply remove the corners for easier printing! This way I was able to crank the resolution up to 100x100 pixels and have it still sliceable in Simplify3D! Make sure to have no important…
Big thanks to Joe Balint for coming up with the idea to use a skull for the stereographic projection! I modified my script to create a difference from a hollowed out skull and the projected picture, so adding a light in the correct…
Created with http://www.thingiverse.com/thing:2094215 The lamp body of the original design can be used. Print Settings Printer Brand: FlashForge Printer: FlashForge Creator Pro Rafts: No Supports: No Resolution: 0.3mm Notes: Print took…
A newer version with a screw-on lamp chassis can be found here: http://www.thingiverse.com/thing:2094215 Highres version of http://www.thingiverse.com/thing:1922547 This one uses 85x85 pixels instead of 55x55, but also is bigger. It is 15…
A newer version with a screw-on lamp chassis can be found here: http://www.thingiverse.com/thing:2078413 I played around with the parameters of my old design http://www.thingiverse.com/thing:1216198 a bit and actually got it printable. I…
Customized version of http://www.thingiverse.com/thing:1216198 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=1216198 Testing customizer with Mona Lisa. Instructions Using the following options:…
A newer, actually printable version is here: http://www.thingiverse.com/thing:1922547 I modified the script to support simple halftone dithering, so each pixel can have a gray value between 0 and 1, the brighter the pixel is, the bigger…
