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Modular Origami — Miscellaneous

Models folded and photographed by Michał Kosmulski. Modules designed by their respective authors.
Click on images to enlarge them. Links in image titles lead to pages with more information about each particular object.

Tux the penguin - sonobe module Tux the penguin

Tux the penguin

Made from Sonobe module (36 modules). Body and head are separate pieces (30 and 6 modules, correspondingly).
Tux the penguin is a mascot of the Linux operating system. The logo was created by Larry Ewing (lewing <at sign> isc <dot> tamu <dot> edu).

Christmas ornament / pendant - trapezoid egde module (TEM)

Christmas ornament / pendant

Made from Michał Kosmulski's TEM (Trapezoid Egde Module) (3 modules). Any number of modules from 2 upwards can be used to create similar models. The only limitation is paper's thickness.

Ring - Sturdy Edge Module

Ring - can be worn as a headband

Made from Michał Kosmulski's Sturdy Edge Module (StEM) (12 modules).

Any even number of modules can be connected this way, though the link isn't very strong.

Möbius Strip - trimodule

Möbius Strip

Made from Nick Robinson's trimodule (21 modules).
This is one of the rather few modular origami models which are made from an odd number of modules.

Moebius Strip - trimodule

Möbius Strip

Made from Nick Robinson's trimodule (23 modules).
This model of the Moebius strip also requires an odd number of modules.

Möbius Strip — Building Block Unit (BBU)

Möbius Strip

Made from Michał Kosmulski's BBU (Building Block Unit) (48 modules: 32 × A2, 16 × A1, hook connection method).

Pentagonal snowflake - penultimate module

Pentagonal snowflake

Made from Robert Neale's penultimate module (55 modules).

Nuclear mushroom cloud - PHiZZ module

Nuclear mushroom cloud

Made from Thomas Hull's PHiZZ unit (60 modules).

2×2×1 box — Building Block Unit (BBU)

2×2×1 box

Made from Michał Kosmulski's BBU (Building Block Unit) (61 modules: 32 × A2, 26 × A1, 2 × A5 variant, 1 × D19, hook connection method).

14-spoked wheel (tetradecagonal prism) - Sturdy Edge Module

14-spoked wheel (tetradecagonal prism)

Made from Michał Kosmulski's Sturdy Edge Module (StEM) (70 modules: 28 from 1:2√2 paper and 42 from 1:√2 paper).
This construction isn’t mathematically exact but is close enough for practical purposes.
[ 3D image ]

14-spoked wheel (tetradecagonal prism) - Sturdy Edge Module
Abstract composition “T” - Building Block Unit (BBU)

Abstract composition “T”

Made from Michał Kosmulski's BBU (Building Block Unit) (75 modules: 36 × A1, 30 × A2, 6 × D1, 3 × E4).
[ 3D image ]

Extended hexagonal (dodecagonal) prism - Building Block Unit (BBU)

Expanded hexagonal (dodecagonal) prism

Made from Michał Kosmulski's BBU (Building Block Unit) (84 modules: 42 × A2, 36 × A1, 6 × A4).

Cigar / nanotube - PHiZZ module

Cigar / carbon nanotube

Made from Thomas Hull's PHiZZ unit (195 modules).

Cigar / nanotube - PHiZZ module
Steinhaus Puzzle - penultimate module (assembled)

Steinhaus puzzle

Made from Robert Neale's penultimate module (3*44+3*36=240 modules).
This puzzle, described in Hugo Steinhaus' book Kalejdoskop matematyczny (Mathematical kaleidoscope) consists of six pieces, which can be assembled together to form a cube (as in the first image) or a variety of different shapes (such as the one shown in the second image). All separate pieces are shown in the last image. A similar puzzle, better known in the English-speaking world, is the Soma cube.

Steinhaus Puzzle - penultimate module (partially assembled)
Steinhaus Puzzle - penultimate module (disassembled)
Hamiltonian cycle of the cube - Building Block Unit (BBU)

Hamiltonian cycle of the cube

Made from Michał Kosmulski's BBU (Building Block Unit) (240 modules: 144 × A1, 96 × E1 variant).
[ 3D image ]

Structure of gibbsite on the cover of "Surface charging and points of zero charge" by Marek Kosmulski - trimodule

Crystal structure of gibbsite

This origami represents the crystal structure of gibbsite (α-alumina) in the octahedral model and is reproduced on the cover of the book ”Surface charging and points of zero charge” by my father, Marek Kosmulski. Larger image also available here.

Made from Nick Robinson's trimodule (68×4 = 272 modules).

Torus / doughnut - PHiZZ module

Torus

Made from Thomas Hull's PHiZZ unit (360 modules).

Klein bottle - PHiZZ module Klein bottle - PHiZZ module Klein bottle - PHiZZ module

Klein bottle

Made from Thomas Hull's PHiZZ unit (500 modules).
This model was quite difficult to design, as the two sides of surfaces made with PHiZZ modules differ a lot (due to the presence of "bumps" where units join) and the Klein bottle is a one-sided surface. Thus, there must be a place where units pointing out in one direction join those pointing in the other direction. I tested several different solutions before choosing the simplest and most elegant one. Last image shows a close-up of the bottle's mouth, where units with two different orientations are connected. One of the earlier attempts resulted in creating the atomic mushroom cloud model (below). The last picture in top row shows a partially assembled Klein bottle, with inner parts of the "neck" visible.

Klein bottle - PHiZZ module
Bottle - PHiZZ module

Regular bottle

Made from Thomas Hull's PHiZZ unit (336 modules).
This was made from the Klein bottle by detaching the elongated neck.

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