Thingiverse
Was Aristotle right? by stepanp21
by Thingiverse
Last crawled date: 3 years ago
Aristotle claimed that among the Platonic solids, only regular cubes or regular tetrahedra can tessellate three-dimensional space. In this multivariable calculus project, students investigate whether or not Aristotle was correct!
Students showed that a combination of regular tetrahedra and octahedra can tessellate in three dimensions, and they found something surprising about tetrahedra. They designed some 3D models to demonstrate their findings: a collection of tetrahedra and octahedra, and tetrahedra "dipped" into a sphere to illustrate their approach to the calculations.
Students showed that a combination of regular tetrahedra and octahedra can tessellate in three dimensions, and they found something surprising about tetrahedra. They designed some 3D models to demonstrate their findings: a collection of tetrahedra and octahedra, and tetrahedra "dipped" into a sphere to illustrate their approach to the calculations.
Similar models
thingiverse
free
Octahedra and tetrahedra by henryseg
...ahedra and tetrahedra by henryseg
thingiverse
this model is featured in figure 4.18 of visualizing mathematics with 3d printing.
thingiverse
free
Tessellations, hands-on math by MiguelAugusto
...e math behind that. explore the unique feature of "calçada portuguesa" a beautiful and useful way to use tessellations.
thingiverse
free
Decorated Tetrahedra by pmoews
....
the openscad programs that produced the stl files are tetra_plane_curves.scad and tetra_bucky.scad and they are included below.
thingiverse
free
Simplex Truncation 1110 by wwebber
...
this is a truncation of the 4d simplex. it is made from 5 truncated octahedra, 5 truncated tetrahedra and 10 triangular prisms.
thingiverse
free
PentaPentaTope by wwebber
...e truncation of the 4d simplex. it is made from 5 tetrahedra and 5 octahedra. this uses an octahedral cell as the closest cell.
thingiverse
free
Sierpinski's Tetrahedra (Fractal Tetrahedra) by taroh
... parameters were for my temporal work. now set to fractal level = 5, thickd = 0.5 (mm, depth of "point contact" part).
3dwarehouse
free
Anna tessellation
...lation
3dwarehouse
a froggy tessellation by a 6th grade student #anna #froggy #green #nevada_middle_school #orange #tessellation
thingiverse
free
PentaPentaTope 2 by wwebber
...e truncation of the 4d simplex. it is made from 5 tetrahedra and 5 octahedra. this uses a tetrahedral cell as the closest cell.
3dwarehouse
free
Tesselation
...tesselation
3dwarehouse
three dimensional tesselation of one component
thingiverse
free
24-Cell Schlegel Diagram by Professortiz
...ot; of the polytope, with the outermost octahedron representing the closest cell, and the innermost octahedron the farthest cell.
Stepanp21
thingiverse
free
Paraboloid by stepanp21
... source code in openscad is attached.
this model was designed as part of the manipulative calculus project at harvard university.
thingiverse
free
Hyperbolic Paraboloid by stepanp21
... surface in the z direction slightly.
this model was designed as part of the manipulative calculus project at harvard university.
thingiverse
free
Wireframe Paraboloid and Disk by stepanp21
...9; theorem in multivariable calculus.
this model was designed as part of the manipulative calculus project at harvard university.
thingiverse
free
Contours on a surface by stepanp21
...t to complement the paper "3d printed manipulatives in a multivariable calculus classroom" which will appear in primus.
thingiverse
free
Function Graph by stepanp21
...ut we used mathematica to find a function with the properties we wanted to for the lessons we will use in multivariable calculus.
thingiverse
free
Multivariable Function Lesson by stepanp21
...ssroom" which will appear in primus.
the three functions used here are:
f(x,y) = x^2+y^2
f(x,y) = xy
f(x,y) = 2xe^(-x^2-y^2)
thingiverse
free
Sudanese Moebius Band by stepanp21
...ce two-sided flower vase!
i was able to print without supports, but a brim is necessary to allow the figure to stand up straight.
thingiverse
free
Multivariable Limit Lesson by stepanp21
...y4)
sin(x2 + y2) / (x2 + y2)
it turns out that in the first two examples, the limit does not exist, but in the third one it does.
thingiverse
free
Relativity Project by stepanp21
...ions and an interactive widget are here, and the reldisk.stl model illustrates a disk, and how it might curl if spun fast enough.
Aristotle
turbosquid
$2
Aristotle smart missile
... available on turbo squid, the world's leading provider of digital 3d models for visualization, films, television, and games.
3ddd
$1
decanter and glasses
...eichholtz набор из графина, двух стаканов и подноса eichholtz aristotle ...
thingiverse
free
Aristotle by Pink_Iguanas
...aristotle by pink_iguanas
thingiverse
a bust of the philosopher aristotle from the pergamon collection.
3d_sky
free
decanter and glasses
...eichholtz set of carafe, two glasses and tray eichholtz aristotle ...
thingiverse
free
Motivational Wall Plaque by SayianPrincess
...but a habit.” motivational wall plaque, quote is by aristotle i painted the text to make it stand out...
thingiverse
free
Nagy's Coin -o- Contact (Python Edition :) by KidSwidden
...when you can toss 'em a conversational keepsake? from aristotle & da vinci ... to mendel & pasture, surely...
thingiverse
free
Homer by CosmoWenman
...homer that share similar idealized features. rembrandt's anachronistic 1653 aristotle with a bust of homer depicts a more finely...
cg_trader
$10
Library Aristotle
...aristotle
cg trader
library aristotle 3d, formats max, obj, 3ds, fbx, stl, skp, cabinet furniture, ready for 3d animation and ot
cg_trader
$15
Aristotle bust
...otle bust
cg trader
aristotle bust 3d human man head bust statue, available in obj, mtl, fbx, stl, ready for 3d animation and ot
Right
turbosquid
$6
To the right
...squid
royalty free 3d model to the right for download as max on turbosquid: 3d models for games, architecture, videos. (1200265)
turbosquid
$5
Pass Right
... available on turbo squid, the world's leading provider of digital 3d models for visualization, films, television, and games.
3d_export
$14
southern right whale
...southern right whale
3dexport
detailed model of southern right whale
3d_export
$10
Tibet right
...tibet right
3dexport
dimensions of the pencil case 404/1982/380 mm
3d_export
free
right arrow
...e <br> file contains the <br> and <br> formats.<br>you can use it for presentation slides or 3d printing.
design_connected
$16
Feng Chaise Right
... chaise right
designconnected
ligne roset feng chaise right lounge chairs computer generated 3d model. designed by didier gomez.
3d_export
$5
Right arrow 3D Model
...right arrow 3d model
3dexport
right turn sign signal signage direction
right arrow 3d model ryisnelly100 88745 3dexport
turbosquid
free
Keep Right Sign
...rbosquid
free 3d model keep right sign for download as blend on turbosquid: 3d models for games, architecture, videos. (1522189)
turbosquid
$55
Anatomical right Skeleton
... available on turbo squid, the world's leading provider of digital 3d models for visualization, films, television, and games.
turbosquid
$5
No Right/Left Turn
... available on turbo squid, the world's leading provider of digital 3d models for visualization, films, television, and games.