Tessellating Escher Lizards

Tesselating Excher Lizard - Spiralized Printing.stl

FOLD STAR | FOLDABLE CHRISTMAS DECORATION

FOLD STAR - STRIP (x1).STL

Chessboard foldable with storage

imprAchessboard.3mf

Print in Place Folding Card Box

Folding_Card_Box_Single-Strong-Catch_Hex_Tall_V6.stl

Brain Breaker Blocks

If you’re bored of Lego, this 3D printed self-interlocking construction block will break your brain. It takes minutes to print, months to figure out!

See here for video for demonstrates of the concepts outlined below: https://youtu.be/j10wzy0qGOg 

Officially known as an “SL Block,” this octocube shape is part of a family of “topologically interlocking assemblies,” that is, shapes that hold together without the use of connectors or adhesives to form self-interlocking structures. Self-interlocking structures have interesting architectural and engineering applications.

A ends of a single “SL” block resemble an “S” and an “L.”. In assembly, SL blocks always occur in pairs, called a “Conjugate Pair.” In the pictures and video, conjugate pairs are shown with one white and one black piece.

Conjugate pairs lock together in six different ways, called “engagements,” to form “SL Strands.” Each type of engagement adds a unique translation or rotation to the SL Strand. The six types of engagements are denoted as “h,” “t,” “s,” “d,” “a” and “y.”

Using this system, the SL strands can be represented as strings consisting of six letters that stand for
the six types of engagements.


The first example in the video is an “h4” SL Strand. “h” engagements are straight with no rotations or translations, so the strand is straight.

The next example is an “a4” SL Strand. “a” engagements create a 90 degree rotation but no translations, so the “a4” strand makes a closed, cube-shaped structure.

The final examples in the videos show more complicated “(as2)4” and “(dth)4” strands. These modules can then be connected to form larger and increasingly complex self-interlocking structures.

Is your brain broken yet? Interested in learning more? Start here:
https://archive.bridgesmathart.org/2018/bridges2018-107.pdf


Interlocking Einstein Monotile

Interlocking Einstein Monotile  1 with face.stl

Interlocking Yin and Yang Hook

Hey,
this is my interlocking Ying and Yang hook. No supports needed. If you want this to hold something, print with 100% infill.

 SnapFit Box - Print in place storage solution

SNAPFIT BOX.stl

Display Area Low Poly Building Blocks

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Interlocking 35mm Hex tile

HX-35-FINAL-1cmalt.stl

Hexes for stacking

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4cm Interlocking Hex Tile - Frame and Full

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Interlocking square tiles - 33mm

QUAD-33-FINAL-1cmalt.stl

Teil 1.obj

Shoelace Cord Lock

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Spice shelf v3.stl

Conectable Rounded Scale Plate

STL.stl

KLiX -Spitfire 

klix spitfire wings.stl

Customizable Dual Color Tiger Box with Lid 

tiger lid.stl

KLiX - Square Module 

squ 1.stl

Interlocking

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Tessellating Escher Lizards

FOLD STAR | FOLDABLE CHRISTMAS DECORATION

Chessboard foldable with storage

Print in Place Folding Card Box

Brain Breaker Blocks

Interlocking Einstein Monotile

Interlocking Yin and Yang Hook

SnapFit Box - Print in place storage solution

Display Area Low Poly Building Blocks

Interlocking 35mm Hex tile

Hexes for stacking

4cm Interlocking Hex Tile - Frame and Full

Interlocking square tiles - 33mm

Teil 1.obj

Shoelace Cord Lock

Spice shelf v3.stl

Conectable Rounded Scale Plate

KLiX -Spitfire

Customizable Dual Color Tiger Box with Lid

KLiX - Square Module