Geometrix

Designs by friz
I'm interested in solid geometry (polyhedra, 4-dimensional polytopes) and algebraic varieties (curves, surfaces) and I like to create models of these complex objects. Feel free to ask me also customized designs, for example a polyhedron with given dimensions and features. A polyhedron can be realized in different ways, like ball-and-stick style, solid faces, Leonardo-style, curved edges, and so on. Any one of these objects can be also equipped with a ring and transformed into a pendant or a keyholder. Numbers or labels added to any (suitable) polyhedron turn it into a die.

IMPORTANT: Sort the items by "newest" to see the latest things!

Nearly all models are available also in the new colors. Ask in case.

We found 142 products by friz

by friz
A simple die based on a isohedral trapezoidal dodecahedron.
 
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From: $6.56
 
by friz
A pendant or keyholder based on the disdyakisdodecahedron, one of the 13 Catalan polyhedra.
 
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From: $6.84
 
by friz
A keyholder or pendant based on the Pentagonal Icositetrahedon, one of the 13 Catalan polyhedra.
 
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From: $6.90
 
by friz
A 6-sided die based on a stella octangula, the regular compound of two dual tetrahedra. Second version, with spherical pips.
 
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From: $7.32
 
by friz
A tetrahedral die based on a set of four rhombic dodecahedra. The vertices are numbered 0,1,2,3 according to the number of pips.
Monochrome version.
 
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From: $7.85
 
by friz
A 6-sided die based on a stella octangula, the regular compound of two dual tetrahedra. First version, with numbers carved on three crossed prisms.
 
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From: $7.07
 
by friz
A 24-sided die based on a diakisdodecahedron, an isohedral solid with non-regular pentagonal faces. Monochrome version.
 
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From: $7.74
 
by friz
A 12-sided die based on an isohedral non-regular dodecahedron. The faces are irregular pentagons with only one axis of symmetry. Monochrome version.
 
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From: $7.91
 
by friz
A die based on a isohedral trapezoidal hexahedron. In other words, a distorted cube whose 6 faces are identical irregular quadrilateral. The numbers are represented by holes in the windows. Monochrome version.
 
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From: $6.94
 
by friz
Another tetrahedral die designed for an easy rolling. The numbers are etched on four balls at the tetrahedron vertices. The interior is hollow.

First version, small (maximum size 20 mm) for metal print.



 
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From: $7.33
 
by friz
A 8-sided die based on an isohedral non-regular octahedron. The faces are identical scalene triangles. The numbers are supported by an inner sphere, in turn fixed to the outer polyhedral shell. The number to be read is that on the face which doesn't touch ground. First version, monochrome.
 
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From: $8.55
 
by friz
A die based on a isohedral trapezoidal dodecahedron. Monochrome version.
 
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From: $9.99
 
by friz

A 12-sided die based on a distorted hexagonal trapezohedon. When it lies on a face an edge is up. A variation on an original design by Kevin Cook.
 
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From: $10.39
 
by friz
A 6-sided die based on a dipyramid (a double tetrahedron, not the dual of triangular prism). When it lies on a face an edge is up. The numbers are represented by geometric shapes (circle=1, digon=2, triangle=3, etc). Max length = 28 mm. A variation on an original design by Kevin Cook.
 
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From: $6.89
 
by friz
A 10-sided die based on a pentagonal dipyramid (dual of the pentagonal Archimedean prism). When it lies on a face an edge is up. A variation on an original design by Kevin Cook.
 
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From: $7.47
 
by friz
A 10-sided die based on a pentagonal dipyramid (dual of the pentagonal Archimedean prism). When it lies on a face an edge is up. A variation on an original design by Kevin Cook.
 
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From: $6.24
 
by friz
A 6-sided die based on a dipyramid (a double tetrahedron, not the dual of triangular prism). When it lies on a face an edge is up. The numbers are represented by notches. Max length = 28 mm. A variation on an original design by Kevin Cook.

Second version, hollow.
 
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From: $6.24
 
by friz
A 6-sided die based on a dipyramid (a double tetrahedron, not the dual of triangular prism). When it lies on a face an edge is up. The numbers are represented by notches. Max length = 28 mm. A variation on an original design by Kevin Cook.

First version, solid core.
 
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From: $6.96
 
by friz
A tetrahedral die inspired to a sci-fi starship of the 60s. The numbers are represented by circular slots on the tips, designed in such a way that the center of mass of the die remains at the tetrahedron center.

Second version, colored.
 
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From: $7.84
 
by friz
A 3D projection of the 8-cell, or Hypercube, one of the 6 regular polytopes in four dimensions.

4D Polytopes (or polychora) are the 4-dimensional analogous of the 2D polygons and 3D polyhedra.

Regular polychora are composed of a finite set of cells (polyhedra), all regular and alike, surrounding each edge in an identical way.

We cannot see a 4D polytope, but we can project it in 3D (in the same way as we make a flat drawing of a polyhedron).

The Hypercube is composed of 8 cubes.

This is a special central projection (perspective) of the polytope, in which no cells or edges intersect each other. It is also called a Schlegel diagram.
 
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From: $6.56
 
by friz
A Leonardo-style Archimedean polyhedron
 
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From: $5.84
 
by friz
A Leonardo-style Archimedean polyhedron
 
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From: $5.24
 
by friz
A Leonardo-style Archimedean polyhedron
 
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From: $6.45
 
by friz
A Leonardo-style Archimedean polyhedron
 
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From: $6.05
 
by friz
A 12-sided die based on a distorted hexagonal trapezohedon. When it lies on a face an edge is up, showing a sign of the zodiac. A variation on an original design by Kevin Cook. First version, hollow.
 
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From: $9.29
 
by friz
A 12-sided die based on a distorted hexagonal trapezohedon. When it lies on a face an edge is up, showing a sign of the zodiac. A variation on an original design by Kevin Cook. Second version, solid.
 
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From: $15.29
 
by friz
A tetrahedral die with ellipsoidal edges, for better rolling. The number is carved on each edge of the face on ground. See pictures.

First version, solid.
 
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From: $10.23
 
by friz
A colored die. Same geometry as Tetra D4, but with green pips. Turned out very well, heavy and easy to roll. See photos.

 
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From: $9.57
 
by friz
A tetrahedral die with curved edges. The numbers are on the faces of an inner octahedron. First version.
 
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From: $8.44
 
by friz
Another tetrahedral die designed for an easy rolling. The numbers are etched on four balls at the tetrahedron vertices. The interior is hollow.

Second version, large (maximum size 30 mm) for plastic print.

 
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From: $11.69
 
by friz
The complete set of Catalan dice (except the triakistetrahedron, already available in various standalone versions) in four bundles. Hollow version. Note that the pentagonal icositetrahedron and the pentagonal hexecontahedron are not suitable as dice. I have added them for completeness.

Bundle 2.
Deltoidal icositetrahedron (24 faces)
Triakisicosahedron (60 faces)
Pentagonal hexecontahedron (60 faces)
 
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From: $16.90
 
by friz
A tetrahedral die inspired to a sci-fi starship of the 60s. The numbers are represented by circular slots on the tips, designed in such a way that the center of mass of the die remains at the tetrahedron center.

First version, monochrome.
 
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From: $9.60
 
by friz
The complete set of Catalan dice (except the triakistetrahedron, already available in various standalone versions) in four bundles. Hollow version. Note that the pentagonal icositetrahedron and the pentagonal hexecontahedron are not suitable as dice. I have added them for completeness.

Bundle 1.
Rhombic dodecahedron (12 faces)
Pentagonal icositetrahedron (24 faces)
Triakisoctahedron (24 faces)
Deltoidal hexecontahedron (60 faces)

 
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From: $16.02
 
by friz
The complete set of Catalan dice (except the triakistetrahedron, already available in various standalone versions) in four bundles. Hollow version. Note that the pentagonal icositetrahedron and the pentagonal hexecontahedron are not suitable as dice. I have added them for completeness.

Bundle 3.
Rhombic triacontahedron (30 faces)
Disdyakisdodecahedron (48 faces)
Pentakisdodecahedron (60 faces)

 
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From: $14.55
 
by friz
The complete set of Catalan dice (except the triakistetrahedron, already available in various standalone versions) in four bundles. Hollow version. Note that the pentagonal icositetrahedron and the pentagonal hexecontahedron are not suitable as dice. I have added them for completeness.

Bundle 4.
Tetrakishexahedron (24 faces)
Disdyakistriacontahedron (120 faces)
 
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From: $14.26
 
by friz
An alphabet die inspired to a rotating space station. Based on a 26-face trapezohedron. From an original design by Kevin Cook. First version, monochrome.
 
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From: $9.15
 
Shop Details
Attractive geometric shapes like polyhedra, surfaces or higher dimension objects. For educational or decorative purposes. By Friz.