149 Lgbu 3d models found
Download or buy, then render or print from the shops or marketplaces.
3D Models below are suitable not only for printing but also for any
computer graphics like CG, VFX, Animation, or even CAD. You can print these 3d models on
your favorite 3d printer or render them with your preferred render engine.
Please note that the 3D model database is only a Search Engine. You should
visit the original websites. Most of the models can be easily imported and rendered
with Autodesk 3ds Max, Maya, Blender, C4D, and Sketchup. Check for online
3d model conversions tools for your file format.
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thingiverse
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Pythagoras Tree 345 by lgbu
...ntentionally designed to overlap to a little bit for stability. easy to design in 123d design using the basic idea of similarity.
thingiverse
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Chinese Lantern by lgbu
...the size needed. do use a raft for printing.
please note that the stl file is pretty big, around 100 mb because of the structure.
thingiverse
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Tetrahedron, Triangular Pyramid Puzzle by lgbu
...giverse so i decided to make one. you need to print 4 copies of the same piece to make a triangular pyramid. great for all ages!
thingiverse
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Pythagoras Tree (1:1:Sqrt2) by lgbu
...ap a little bit. the structure is very easy to design in 123d design using the basic idea of similarity. yes, this is a fractal.
thingiverse
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Golden Curve/Spiral by lgbu
...ometric representations. the curve, of course, has interesting properties that are worthwhile for a k-12 steam class. have fun!
thingiverse
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Hyperboloid Container / Caddy by lgbu
...s 45 degrees. the height of the resulting hyperboloid is about 74 mm. it is made of 18 or 36 copies of two symmetrical rulings.
thingiverse
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Ceiling Hooks by lgbu
...asurement.
among the files are four ceiling hooks of various widths, a length of 70 mm, and a depth of 12 mm. the slot is 3mm.
thingiverse
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Parallelogram Area Formula, Why? by lgbu
.... this can be further used to find the areas of many other shapes such as trapezoids, triangles, and even circles. have fun!
thingiverse
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Hexagonal Chain Mail Interlocking Patterns by lgbu
...e as it is, it shows the value and fun of 3d design and printing. the 123d file is included so you could tweak it as you please.
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Simple Tessellation Pattern by lgbu
...e included. it measures about 96 mm x 50 mm and 3.6 mm thick. six copies will be a good starting point (see pictures posted).
thingiverse
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Chinese Lantern 2018, Lamp Shade by lgbu
... please scale it up or down to fit your preferences. a raft is needed because of the small contact surface on the printing bed.
thingiverse
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Easy Flow Sink Filter by lgbu
... a few basic design tools: extrusion, rotation, sweeping, patterns, chamfer. most likely they are going to design a better one!
thingiverse
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Gallon Model, Quart, Pint, Cup by lgbu
...to two pints; and a pint is equal to two cups. in this model, the volume relationships are retained proportionally. have fun!
thingiverse
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Half Truncated Octahedron by lgbu
...reference
http://mathworld.wolfram.com/truncatedoctahedron.html
https://en.wikipedia.org/wiki/table_of_polyhedron_dihedral_angles
thingiverse
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Valentine Spinner, Heart, Key Chain by lgbu
...thanks for all the support!
printing
0.1-0.12mm worked well for me. please make sure the bottom layer is not more than 0.15mm.
thingiverse
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Tangram 3D by lgbu
...e) piece.
among the files
3d tangrams, solid.
3d tangrams, shelled.
see also
tangrams, https://www.thingiverse.com/thing:2599132
thingiverse
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Optical Illusion: Vase vs Face by lgbu
...m cube and does hold water. i put three ridges around the vase just for fun: it looks as if three faces are kissing the vase ^_^.
thingiverse
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Connect Four, Pattern Game by lgbu
... please keep them away from small children and educate all children not to put little toys in their mouth. otherwise, have fun!
thingiverse
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Tessellation of an Equilateral Pentagon by lgbu
...gonal caddy, and a hexagonal caddy. the edge length of a pentagon is 25 mm. it is 3.6 mm in thickness. the caddy is 60 mm tall.
thingiverse
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Model for Balancing Bird by lgbu
..., which balances itself well at 20% infill. if necessary, one can add some little rubber bumper stickers to find a nice balance.
thingiverse
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Triangular and Tetrahedral Numers by lgbu
...hematical induction; they are as interesting as the visual structures. to print, please use raft for better adhesion to the bed.
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Math Puzzle: Cube Hexagonal Dissection by lgbu
...ltiple pieces, one can build other shapes. great for children to develop (or rather maintain their natural) spatial imagination!
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From Rectangle to Square by lgbu
... b has a built-in groove and provides some resistance but can also be taken apart and reassembled. have fun playing with math!
thingiverse
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Spinners with Ten Outcomes by lgbu
...ific design, please feel free to leave a comment. i will make one for you when i see your request. have fun spinning some math!
thingiverse
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Tetrahedral Spikey, Tetrahedron by lgbu
... flexible filament when possible.
references:
https://en.wikipedia.org/wiki/tetrahedron
http://mathworld.wolfram.com/spikey.html
thingiverse
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Hexaflexagon for Flexible TPU Filament by lgbu
..., paper, plus a glue stick, is the best way to make a hexaflexagon for classroom use. however, a flexible tpu model is also fun!
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Multiplication Model (Integer/Fractions) by lgbu
...es 3 cm by 5 cm?
example 3: assuming the board is 1 square unit. what is the area of a rectangle that is 3/12 unit by 5/12 unit?
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Nested Dodecahedra, Russian Dolls by lgbu
... its edge length drops by 3mm. by the way, how does the volume of each dodecahedron change, as the side length goes down by 3mm?
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Hinged Triangle to Rectangle Models by lgbu
...iles
1) two types of triangles (flat and shelled)
2) triangles of three sizes.
see also
https://www.thingiverse.com/thing:4806124
thingiverse
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Iscohedron Marker Holder by lgbu
...ll safety rules should be followed.
see also
https://www.thingiverse.com/thing:4587477
https://www.thingiverse.com/thing:3868684
thingiverse
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Math Puzzle, Soma Cube by lgbu
...:
https://en.wikipedia.org/wiki/soma_cube
gardner, martin, 2008. origami, eleusis, and the soma cube. cambridge university press.
thingiverse
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Sliding Ladder, Ellipse by lgbu
...references
https://demonstrations.wolfram.com/physicsofaslidingladder/
http://physics.princeton.edu/~mcdonald/examples/ladder.pdf
thingiverse
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Folding Triangles to Rectangles by lgbu
...to paper models. challenge: why does it work?
among the files
an equilateral triangle
two right triangles
just another triangle
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Spinning the Cube, Hyperboloid by lgbu
...art of an article in press for publication in the mathematics teacher journal by the national council of teachers of mathematics.
thingiverse
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Dice, Die, probability by lgbu
...y, i think we might need to balance the center of mass. anyway, i added a traditional set. thanks for the feedback and support.
thingiverse
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Penrose Triangle: Three Pieces by lgbu
...hree pieces.
v-shapes of three different heights (10mm, 8mm, and 6.4mm)
reference
https://en.wikipedia.org/wiki/penrose_triangle
thingiverse
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Snap Stick, Bar, Interlocking, Math by lgbu
...arious lengths and see how children can make with them. as alwasys, remember to observe safety rules when working with children.
thingiverse
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Square – Octagon Dissection by lgbu
...ave fun!
reference
cundy, h. m., & rollett, a. p. (1961). mathematical models (2nd ed.). london, uk: oxford university press.
thingiverse
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Jigsaw Letters, English Alphabet by lgbu
...ts of a design project on jigsaw number patterns. some blank pieces are included just in case you need them for special symbols.
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Diamond, Dodecahedron, Kawai Joint by lgbu
...is fingers and further recommended that a stand be made so his fingers wouldn't hurt. and it turned out to be a great idea!
thingiverse
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Telescopic Cylinder, Math, Geometry by lgbu
...piece. the result, however, is aesthetically motivating.
have fun!
reference:
https://en.wikipedia.org/wiki/telescopic_cylinder
thingiverse
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Sequence of Cubic Numbers and Multiplication Table by lgbu
...-2, n-1, n, n-1, n-2, ..., 3, 2, 1) = n x n^2.
of course, there are other ways to play with the multiplication table. have fun!
thingiverse
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Half Dodecahedron, Make Your Own by lgbu
...pyramid for 1/2 of dodecahedron. and it takes two halves to make a whole.
of course, there are other ways to do it. have fun!
thingiverse
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a^2 - b^2 = (a+b)(a-b), Algebraic Formula by lgbu
...t a picture is appealing, too. you can use all the three pieces or just the board. i do think on needs to talk about it, though.
thingiverse
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Dodecahedron Marker Holder by lgbu
...r supported by expo manufacturers. this is merely an educational design/extension project. all safety rules should be followed.
thingiverse
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Spinner, Math, Probability by lgbu
...ity does one get a vowel?
reference:
bu, l. & fernandez, m. https://www.maa.org/external_archive/joma/volume7/bu/spinner.html
thingiverse
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Sphere Trisection / Dissection, Reid Dissection by lgbu
... if necessary, please add some support. alternatively, it can be rotated and then printed with support for the spherical bottom.
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Math Puzzle, String, Bead, Topology by lgbu
... the fun of the puzzle here.
reference:
gardner, martin, 2008. origami, eleusis, and the soma cube. cambridge university press.
thingiverse
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Cube Model for (a+b)^3 by lgbu
... of each. have fun!
reference
conway, john h., & guy, richard k. (1996). the book of numbers. new york, ny: springer-verlag.
thingiverse
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Spiraling Square, Square Nut? by lgbu
...a 40-mm square with a square hole (8mm),
2) stands (40-mm square x 80mm) with various amounts of rotation (90 to 1080 degrees).
thingiverse
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Triangle to Hexagon Dissections, Math by lgbu
...idge, uk: cambridge university press.
http://demonstrations.wolfram.com/hingeddissectionofanequilateraltriangleintotwohexagons/
.
thingiverse
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Hexagram, Hexagonal Star, Hexagon Puzzle by lgbu
...60mm. have fun!
reference
frederickson, g. n. (1997). dissections: plane & fancy. cambridge, uk: cambridge university press.
thingiverse
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Four-Axis Cube Spin, Hyperboloid by lgbu
...098
https://www.thingiverse.com/thing:3151990
https://www.thingiverse.com/thing:3517442
https://www.thingiverse.com/thing:3921545
thingiverse
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Sphere Dissection, Yin-Yang Style by lgbu
...; then, about half way through the printing process you can put a small magnet in the head of each for easy assembly. have fun!
thingiverse
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Half Octahedron, Make Your Own by lgbu
...or around. it is a fun process.
there are two versions provided: solids and shelled (2mm). the eighth pieces are also included.
thingiverse
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String Art & Envelopes on the Circle by lgbu
...et/~quenell/slides/stringart.pdf
https://geometryexpressions.com/downloads/stringart.pdf
https://en.wikipedia.org/wiki/string_art
thingiverse
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Cube (Thirds) Dissection: Three Congruent Pyramid Combos by lgbu
...ase check out numerous other ways to dissect a cube!
two sizes and two styles are included: 25mm and 50mm; center holes or not.
thingiverse
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Binary Numbers, Base Two System, Place Values by lgbu
...uot;1" on the front and "0" on the back. i have designed the numbers for easy sliding and 3d printing. have fun!
thingiverse
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Puzzle, Golden Rhombohedra, Bilinski Dodecahedron, Rhomibc Triacontahedron by lgbu
...ohedra => 1 rhombic triacontahedron.
adhesive tape is recommended to hold the pieces together. the connections are appealing.
thingiverse
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Wrist Band for Teachers & Students by lgbu
...gt; to invent & share; fail and think -> try again, succeed.
reference
desktop makes. www.youtube.com/watch?v=xn5uqsyg6ya
thingiverse
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Magic Triangle, Math Puzzle by lgbu
...er and facilitate explorations. have fun and enjoy the art of mathematics!
reference:
http://www.magic-squares.net/perimeter.htm
thingiverse
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Rhombic Icosahedron and its Dissection, Golden Ratio by lgbu
...ng a shelled one, perhaps someone can keep a plant in it? have fun!
references
https://en.wikipedia.org/wiki/rhombic_icosahedron
thingiverse
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Sphere Dissection, Trisection, Three-Piece Puzzle by lgbu
...r of 25mm. the critical dissecting point is a centroid in this case.
have fun!
see also
https://www.thingiverse.com/thing:2995638
thingiverse
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Life-Size Door Opener by lgbu
...is case.
use a higher infill rate for strength. 25% works well in my testing.
scale it down to 70-80% for a kids' version.
thingiverse
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Tomahawk, Angle Trisector, Geometry Tool by lgbu
...harp for the tool to work. please use extra caution to avoid injury!
reference
https://en.wikipedia.org/wiki/tomahawk_(geometry)
thingiverse
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Pattern Blocks, Math, Geometry, Art by lgbu
...gular set of pattern blocks.
the individual pieces are built with reference to a square that is 20mm x 20mm x 8mm. have fun!
thingiverse
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(a+b)^2 = a^2 +2ab+b^2, algebraic formula by lgbu
... ways to explain (a+b)^2 = a^2 +2ab+b^2.
the board alone is enough; the component pieces just add another layer of manipulation.
thingiverse
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Delian Cube Doubling Problem by lgbu
... elementary mathematics: their history and solution. (david antin, trans.) . new york, ny: dover (original work published 1958).
thingiverse
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Snap cube, Kawai Joint, Interlocking, Math by lgbu
...ions. kids only know! so print a pile of them and leave them with some third or fourth graders and watch! thanks for visiting.
thingiverse
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Snap cube, interlocking, math, snap cubes by lgbu
...using fusion 360.
please use an infill greater than 20% for strength and try the fairly tight version, to begin with. have fun!
thingiverse
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Bilinski Dodecahedron, Golden Rhombus, Golden Ratio by lgbu
... all the mental gymnastics! print one, play with it, and have fun!
reference
https://en.wikipedia.org/wiki/bilinski_dodecahedron
thingiverse
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Half icosahedron, dissection, Platonic Solids by lgbu
...
sizes: edge lengths: 20mm, 25mm, 30mm, 40mm, 50mm.
reference
https://en.wikipedia.org/wiki/table_of_polyhedron_dihedral_angles
thingiverse
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Origami, German Bell, Math, Geometry by lgbu
...design project as a complement to the traditional paper model.
the thicker versions may work better, depending on the filament.
thingiverse
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Sum of Cubes to Square of Sum by lgbu
...de:
\begin{align*}
1^3 + 2^3 + \cdots +n^3 &= (1+2+\cdots+n)^2\
&=\left(\frac{n(n+1)}{2}\right)^2
\end{align*}
have fun!
thingiverse
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Base Two / Binary Blocks for Number Sense by lgbu
...ple do use them. a specific reference such as 2^2 is much clearer.
unit (2^0=1)
ten (2^1)
hundred (2^2)
thousand (2^3)
have fun!
thingiverse
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Base Eight Blocks for Number Sense by lgbu
...dred (8^2)
thousand (8^3) + a different design that saves filament.
multiples of unit, ten, hundred for batch printing.
have fun!
thingiverse
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Base Seven Blocks for Number Sense by lgbu
...erence such as 7^2 is much clearer.
unit (7^0=1)
ten (7^1)
hundred (7^2)
thousand (7^3) + a different design that saves filament.
thingiverse
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Base Five Blocks for Number Sense by lgbu
... (5^2)
thousand (5^3) + a different design that saves filament.
multiples of unit, ten, and hundred for batch printing.
have fun!
thingiverse
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Zero Model, Negative & Positive Numbers by lgbu
...ide. the other model has the two pieces connected in a wedge structure. be very careful when using small magnets with children.
thingiverse
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Geoboard with Removable Pins, Geometry, Math by lgbu
...ending on the preferred durability.
for traditional sets of geoboards, please refer to https://www.thingiverse.com/thing:2515293
thingiverse
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Cube Dissection, Robert Reid, Three-Piece Puzzle by lgbu
...ch is a puzzle piece.
have fun playing with math and art!
reference
reid, robert. http://www.martinhwatson.co.uk/robert_reid.html
thingiverse
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Moon Cake Mould, Chinese Mid-Autumn Festival by lgbu
...ve opportunities to play with circular patterns and mirror images. have fun and may you all enjoy peace, health, and happiness!
thingiverse
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Tri-tetraflexagon / tetraflexagon for Flexible TPU Filament by lgbu
...hematics teaching and learning.
reference
gardner, martin, 2008. origami, eleusis, and the soma cube. cambridge university press.
thingiverse
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da Vinci Bar, Construction Sticks, Dome, Bridge, Math by lgbu
...ces:
http://www.instructables.com/id/da-vinci-popsicle-stick-bridge/
http://archive.bridgesmathart.org/2003/bridges2003-229.pdf
thingiverse
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Pantograph, Print in One Piece by lgbu
...erences
https://www.britannica.com/art/pantograph
https://cacm.acm.org/blogs/blog-cacm/243178-how-does-a-pantograph-work/fulltext
thingiverse
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Math Teachers' Pencil Holder / Stand, Hyperboloid, Ruled Surface by lgbu
... allow the pencils to drop a bit for a symmetric structure.
have fun and do not get mad when things fail to work as expected.
thingiverse
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Key chain Knot Cross Puzzle, OCC, Three Pieces, Kong Ming Lock by lgbu
...earning object for 3d design.
you could also change the slicing resolution to adjust the tolerance between the pieces. have fun!
thingiverse
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Spinner, Tai Chi, Yin-Yang, 阴阳图, 太极图 by lgbu
...f 3d design for a fun and mathematically rich spinning toy. it can be printed in one piece at a resolution between 0.1m to 0.2mm.
thingiverse
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Spool Holder / Stand for 3D Printer, 608zz Bearing by lgbu
...-level design project for students to learn about basic sketching, constraints, patterns, projection, extrusion, tolerances, etc.
thingiverse
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Flexible Stellated Rhombic Dodecahedron Half, Cube Dissection, Rectangular Prism by lgbu
...re included. 25 mm refers to the dimension of a unit cube. have fun!
reference
author. https://www.thingiverse.com/thing:2835244
thingiverse
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Pythagorean Theorem on Hinges with Equilateral Triangles by lgbu
...plus a set of equilateral triangles
one set of equilateral triangles without the right triangle
have fun playing with math ideas!
thingiverse
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HP POS USB 7 in Display Stand by lgbu
...f hp products. the present design is released for its potential utility as an accessory without any warranty implied or explicit.
thingiverse
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Math Model, Series Model for Third of Square or Triangle by lgbu
...h r > 1. then,
\left \sum_{i=1}^{\infty} \frac{1}{r^i} = \frac{1}{r-1}. but, what does it look like at least in some cases?
thingiverse
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Circle Packing, Wine Rack Problem by lgbu
...diamonds. washington, dc: mathematical association of america.
https://www.cut-the-knot.org/curriculum/geometry/ncirclerack.shtml
thingiverse
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Tetrahedron, Puzzle, Triangular Pyramid, Dissection, Four Pentahedra by lgbu
...ord university press. (p. 202). the authors gave a net but did not say how to slice a tetrahedron for the four congruent pieces.
thingiverse
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Triangle Area Formula, A= b × h /2, Why? by lgbu
...angles.
two versions are provided to demonstrate the process behind a= b × h /2. the triangle is just a random one. have fun.
thingiverse
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Mini and Medium Plinko (Galton Board, Binomial Distribution, Bernoulli Trials) by lgbu
...t to put small parts in their mouth and do encourage them to ask questions about mathematics. have fun playing with probability!
thingiverse
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Pythagoras, Pythagorean Theorem, Visual Proof by lgbu
...ng," maa convergence. available at https://www.maa.org/press/periodicals/convergence/mathematical-treasures-zhoubi-suanjing
thingiverse
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Long Division, Jigsaw Patterns by lgbu
...the process unfolds: hundred, ten, one, tenth, hundredth, thousandth, ....
reference
https://en.wikipedia.org/wiki/long_division
thingiverse
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Version 2, Cube Dissection, Robert Reid, Three-Piece Zigzag Puzzle by lgbu
...rder to put together than others. i think this one might be more interesting.
see also
https://www.thingiverse.com/thing:2995638
thingiverse
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Logarithmic Spiral, Golden Triangle, Golden Gnomon, Spira Mirabilis by lgbu
...gle_(mathematics)
huntley, h.e. (1970). the divine proportion: a study in mathematical beauty. new york, ny: dover publications.
thingiverse
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Trapezoid/Trapezium Area Formula, A= (a+b) × h /2, why? by lgbu
...s.
two versions are provided to demonstrate the process behind a= (a+b) × h /2. the trapezoid is just a random one. have fun.
thingiverse
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String Art and Envelopes, Family of Curves by lgbu
...et/~quenell/slides/stringart.pdf
https://geometryexpressions.com/downloads/stringart.pdf
https://en.wikipedia.org/wiki/string_art
thingiverse
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Snap Linkage Bars, Math Models by lgbu
...nkage_(mechanical)
cundy, h. m., & rollett, a. p. (1961). mathematical models (2nd ed.). london, uk: oxford university press.
thingiverse
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Dissection of a Rhombic Triacontahedron, Golden Ratio by lgbu
...ve fun!
references
https://en.wikipedia.org/wiki/rhombic_triacontahedron
http://mathworld.wolfram.com/rhombictriacontahedron.html
thingiverse
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Plinko with Replaceable Pins/Pegs (Galton Board, Binomial Distribution, Bean Machinese) by lgbu
...ome school glue.
references
https://www.thingiverse.com/thing:2747357
https://phet.colorado.edu/en/simulation/plinko-probability
thingiverse
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Cube Spinner: Two Versions (Loose or Grooved) by lgbu
...space around the core), which can be printed at a resolution of 0.2 or a bit higher. it is easier to prepare and spin.
have fun!
thingiverse
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Key Chain, Pythagoras, Pythagorean Theorem, 勾股定理, ピタゴラス定理 by lgbu
...ually proves the pythagorean theorem. it is easy to print. please try a higher resolution for a smooth appearance. have fun!
thingiverse
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Jigsaw, Tessellating Hexagons, Pascal's Triangle, Number Patterns by lgbu
...number pin has the same number on both ends.
you may need more of certain numbers than others, depending on your goal.
have fun!
thingiverse
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Double Spinning Linkage Bars, Geometric Construction, Pendulum by lgbu
...tion less than 0.15mm and an infill greater than 10% for strength.
have fun and help kids do some math. thank you for visiting!
thingiverse
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Unit Fractions, Math Models by lgbu
...ces
http://mathworld.wolfram.com/egyptianfraction.html
http://www.maths.surrey.ac.uk/hosted-sites/r.knott/fractions/egyptian.html
thingiverse
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Key Chain, Happy Chinese New Year, Happiness, Spring Festival, 福, 春 by lgbu
...happiness!
printing
a resolution of 0.1-0.12 mm worked well for me. please make sure the bottom layer is not more than 0.15 mm.
thingiverse
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Base Ten Blocks for Number Sense by lgbu
...rice or pinto beans" at about 90% completion. that'll make some difference. well, just play with your ideas.
have fun!
thingiverse
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Triangle-Square Dudeney's Dissection/Transformation, Hinged by lgbu
...rk, ny: oxford university press.
https://mathworld.wolfram.com/haberdashersproblem.html
https://www.thingiverse.com/thing:4815886
thingiverse
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Pythagoras on Hinges, Dissection Models for the Pythagorean Theorem by lgbu
...hypotenuse, 40-100- hypotenuse)
references
https://www.cut-the-knot.org/pythagoras/
https://www.cs.purdue.edu/homes/gnf/book.html
thingiverse
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Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls by lgbu
... martin. (2001). the colossal book of mathematics: classic puzzles, paradoxes, and problems. new york, ny: w. w. norton & co.
thingiverse
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Cube Puzzle: 5 x 5 x 5, Five-Piece Dissection by lgbu
...don: oxford university press. (p. 203). the authors gave credit a solution in eureka, the magazine of the cambridge archimedeans.
thingiverse
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Base Five, Abacus, Soroban, そろばん, Suan Pan, 算盘 by lgbu
...ive symbols: 0, 1, 2, 3, 4. the base five abacus can be used for base five representations and operations or just as a math toy!
thingiverse
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Geoboard, Geometric Board, Cartesian, Isometic, Circular, Geometry, Math by lgbu
...t no support or raft.
references:
https://en.wikipedia.org/wiki/geoboard
https://www.pinterest.com/theremademama/math-geoboards/
thingiverse
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Thirds Cube Dissection, Many Styles, Liu Hui by lgbu
... accessible at https://www.maa.org/press/periodicals/convergence/exploring-liu-hui-s-cube-puzzle-from-paper-folding-to-3-d-design