header

Units (198)

3D | Acute Mandala | Aura | B^ | B2g | Byz | Celtic | Celtic Rosette
Celtic Wings | Compass Rose | December | Dodecahedron | Helm
Hourglass | Hugger | J5-1 | Labyrinth | Mercury | Mobius | OJ
OHC/OSC | OS/IOS | Ouro | Quadratic | Space Invaders
Tao/Not Tao | Tetra Orb | Triangle | Triumvirate
Uclid | Upanishad | Veloop | Vipera Star


Oriental Scale

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count See also OS Hugger units.
Oriental Scale (OS)
(M.A.I.L.)
Japanese, Captive, Orbital 3 (2.7, 5.9) (2.7, 5.9) - (3.0, 6.6+) 3.0, 6.4
(five units)
10
JDS, JDS Web base unit. Repeats into OS Dodecahedron. OrbitTR(O1) base unit.
(Tutorial)
Japanese Dragonscale Japanese Dragonscale Web (Oriental Scale Net) Oriental Scale Dodecahedron
Oriental Scale 4 (OS4) Japanese, Captive, Orbital 3   -(2.8, 7.9, 5.1)+ 2.8, 8.4, 5.6
(three units)
13
Japanese Dragonscale 4 (Shippo Tsunagi) 4-sided OS. JDS4 base unit. See also QOrbitTR(O1). Ring size-specific.
Oriental Scale 5 (OS5) Japanese, Captive, Orbital 3   -(2.8, 9.9, 4.3)+ 2.8, 9.9, 4.3 16 5-sided OS. Very ring size-specific.
Inverted Oriental Scale (IOS)
(M.A.I.L.)
Japanese, Captive, Orbital 3 (3.0, 6.4) (3.0, 6.4+) 3.0, 6.4 11
Japanese Dragonscale Contraction of/expands into JDS. Very ring size-specific. Small rings can flip out of position.
(Tutorial)
Acute Mandala
(M.A.I.L.)
Japanese, Captive, Orbital 3   (3.0, 6.1),
etc.
3.0, 6.1 (3*5)=
15
Related to JDS. Repeats into Acute Mandala Dodecahedron. Ring size specific.
(Tutorial), (Video)
Acute Mandala Dodecahedron

Captive / Orbital Cage

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Orbital Hex Cage Unit (OHCU) Japanese, Orbital 3 single: 6.0(4.8, 3.7, 5.3)+ 4.8, 3.7, 5.3
6.0
12
Orbital Hex Cage Contraction of/expands into OHC. Medium corner, small inner, large orbital rings.
Orbital Square Cage Unit (OSCU) Japanese, Orbital 3 single: 6.5 single: 6.5+ 6.5 16
Orbital Square Cage Contraction of/expands into OSC, OSCWeb. Orbital Square Cage Web
Captive Orbital Hex Cage Unit (COHCU) Japanese, Captive, Orbital 4   (6.4, 4.3, 6.4)+ 6.4, 4.3, 6.4 13
Captive Orbital Hex Cage Contraction of/expands into COHC. Large corner, small cage + captive, large orbital rings.
Captive Orbital Square Cage Unit (COSCU) Japanese, Captive, Orbital 4 2 ring: (7.0, ~9.8)(7.0, -9.9)+ 7.0, 9.9 17
Captive Orbital Square Cage Web Contraction of/expands into COSC, COSCWeb. Large captive ring.
Reverse Tao Flower
(M.A.I.L.)
Japanese, Orbital 5 6.0 6.0 - 6.1 6.0 18
Orbital 2 in 1 Chain (O1) O2-1C 6-cell loop with 3 additional center, vertical rings held in by 3 additional edge rings. Extension of OHCU, where its corner rings are singled. Not related to Tao.

Orbital Japanese

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Orbital Japanese 6 in 2 Unit (OJ6-2U) Japanese, Orbital 3  (4.8, 3.2, 4.8),
etc.
4.8, 3.2, 4.8 11
Orbital Japanese 6 in 2 3 orbital connections on doubled center ring set. Contraction of/expands into OJ6-2. Ring size specific.
Orbital Japanese 8 in 2 Unit (OJ8-2U) Japanese, Orbital 3  (7.0, 4.1, 5.4),
etc.
7.0, 4.1, 5.4 14
Orbital Japanese 8 in 2 4 orbital connections on doubled center ring set. Contraction of/expands into OJ8-2. Ring size specific.
Orbital Japanese 10 in 2 Unit (OJ10-2U) Japanese, Orbital 3  (9.5, 4.3, 5.6),
etc.
9.5, 4.3, 5.6 17 5 orbital connections on doubled center ring set. Ring size specific.
Orbital Japanese 12 in 2 Unit (OJ12-2U) Japanese, Orbital 3  (12.5, 4.5, 5.8),
etc.
12.5, 4.5, 5.8 20
Orbital Japanese 12 in 2 6 orbital connections on doubled center ring set. Contraction of/expands into OJ12-2. Ring size specific.

Orbital Unit

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Orbital Unit 3
(Trillium)**
(Maillepedia)
Japanese, Orbital 2   5.5 5.5 6
Directional swirl of 3 basic orbital connections with each orbiting off the last orbital ring. Adding one reinforced ring on each side yields Tao 3 **M.A.I.L. entry "Trillium" contains three additional rings.
(Tutorial (step 1-6))
Tao 3
Orbital Unit 4
(Orbital Square Sheet)**
(Maillepedia)
Japanese, Orbital 2   5.5 5.5 8 Directional swirl of 4 basic orbital connections with each orbiting off the last orbital ring. **M.A.I.L. entry for "Orbital Square Sheet" is a repeated square grid.
Orbital Unit 5
(Maillepedia)
Japanese, Orbital 2 single: 5.6 5.7 5.7 10 Directional swirl of 5 basic orbital connections with each orbiting off the last orbital ring. AR specific.
Orbital Unit 6 Japanese, Orbital 2 single: 6.0 6.0 6.0 12 Directional swirl of 6 basic orbital connections with each orbiting off the last orbital ring. Very AR specific.
Orbital Unit 7 Japanese, Orbital 2   6.3 6.3 14 Directional swirl of 7 basic orbital connections with each orbiting off the last orbital ring. Very AR specific.
  (Celtic Rosette)              
Celtic Rosette 4
(M.A.I.L.)
Japanese, Orbital 2   5.5 5.5 8 Directional swirl of 4 basic orbital connections with each orbiting off the last orbital ring. Each edge ring also links the successive orbital ring. Slight doming in sample displayed.
Celtic Rosette 5
(M.A.I.L.)
Japanese, Orbital 2   5.5 5.5 10 Directional swirl of 5 basic orbital connections with each orbiting off the last orbital ring. Each edge ring also links the successive orbital ring.
Celtic Rosette 6
(M.A.I.L.)
Japanese, Orbital 2 single: 5.5 5.5 5.5 12 Directional swirl of 6 basic orbital connections with each orbiting off the last orbital ring. Each edge ring also links the successive orbital ring.
Celtic Rosette 7
(M.A.I.L. gallery)
Japanese, Orbital 2 single: 5.7 5.7 5.7 14 Directional swirl of 7 basic orbital connections with each orbiting off the last orbital ring. Each edge ring also links the successive orbital ring.

Power Line / Velo

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Power Station Japanese, Orbital 3 (5.0, 3.8) (5.0, 3.8), e.g. 5.0, 3.8 8
Power Line Single unit of Power Line. 3-cell 4-2C with 2 orbital rings applied, each using one of the stacked pair in its center cell. 4 in 2 Chain
Power Line 3 Japanese, Orbital 5   (8.2, 7.4, 6.1), e.g. 8.2, 7.4, 6.1 18
Power Line 3-cell Power Line chain loop.
Power Line 4 Japanese, Orbital 5 (5.5, 4.5) (5.8, 4.5), e.g. 5.8, 4.5 24
Power Line 4-cell Power Line chain loop.
Power Line 5 Japanese, Orbital 5   (5.5, 4.1), e.g. 5.5, 4.1 30
Power Line 5-cell Power Line chain loop.
Power Line 6 Japanese, Orbital 5   (5.3. 3.9) 5.3, 3.9 36
Power Line 6-cell Power Line chain loop.
Power Line 7 Japanese, Orbital 5   (5.3. 3.9) 5.3, 3.9 42
Power Line 7-cell Power Line chain loop. At this point, no AR combo will hold structurally.
Veloop 4 Japanese, Orbital 4   (5.8, 4.9)** 5.8, 4.9 24
Velo 4-sided Velo loop. **Not tight: will squish into diamond.

Hourglass+

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Hourglass Unit (HGU)
(M.A.I.L.)
(Maillepedia)**
Japanese, Orbital 3 single: ~6.6 6.6+ 7.0
(four units)
8
Orbital 2 in 1 Chain (O1) O2-1C loop. Folds inside out starting at 6.9 AR. Pentagonally tessellates as Hourglass Dodecahedron. **Maillepedia entry has four additional rings: one on each corner.
(Tutorial), (2)
Hourglass Dodecahedron
Hourglass Unit (2) Japanese, Orbital 3 single: 6.7 6.7+ 6.7 10
HGU with 2 rings in each of 2 horizontal sets. Contraction of/expands into OHCWeb, OSC, Hourglass Hex (2). Pentagonally tessellates as Hourglass Dodecahedron (2).
(Tutorial), (2)
Orbital Square Cage Orbital Hex Cage Web (Hourglass Web) Hourglass Dodecahedron (2)
Hourglass Unit (3) Japanese, Orbital 4 single: 7.0 7.0+ 7.0 12
HGU with 3 rings in each of 2 horizontal sets (oriented vertically in sample image). Pentagonally tessellates as Hourglass Dodecahedron (3).
(Tutorial), (2)
Hourglass Dodecahedron (3)
Hourglass Unit (4) Japanese, Orbital 4   7.5 7.5, 7.1 14 HGU with 4 rings in each of 2 horizontal sets (oriented vertically in sample image).
(Tutorial), (2)
Hourglass Hex Japanese, Orbital 5  ~6.8 6.8, 6.6 36 HGU repeated into a 6-sided unit. AR-sensitive.
Hourglass Hex (2) Japanese, Orbital 5 single: 7.1 7.2 - 7.5 7.3 42
Orbital Hex Cage Web (Hourglass Web) Contraction of/expands into OHCWeb. HGU(2) repeated into a 6-sided unit. AR-sensitive.
  (Missing)              
Missing Half An Hour Unit Japanese, Orbital 5 single: 6.86.8+ 6.8 16 Contraction of/expands into Missing Half An Hour.
Missing Half An Hour Unit (2) Japanese, Orbital 5 single: 7.07.0+ 7.0 20
Missing Half An Hour (2) Doubled horizontal rings. Contraction of/expands into Missing Half An Hour (2).
Missing Half An Hour Square Unit (2) Japanese, Orbital 5 2-ring: (10.3, 7.6)(10.3, 7.6)+ 10.3, 7.6 26
Missing Half An Hour Square Sheet (2) Doubled horizontal rings. Contraction of/expands into Missing Half An Hour Square Sheet (2).

Celtic Wings

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Celtic Wings Flower
(M.A.I.L. gallery)
Japanese 4   (3.5, 5.5) 3.5, 5.5 48
6-cell Celtic Wings loop. 6 inner rings alternate position.
Celtic Unit 3 (Celtic Trio)
(M.A.I.L. gallery)
European 5   (4.7, 2.9, 4.3) 4.7, 2.9, 4.3, 4.2 (3*7+1)=
22
Celtic Wings 3-cell Celtic Wings chain loop with shared center ring. Both center ring, and Parallel rings are 4.7.
Celtic Unit 4 European 5   (6.3, 2.9, 4.7, 3.9) 6.3, 2.9, 4.7, 3.7, 4.2 (4*7+1)=
29
Celtic Wings 4-cell Celtic Wings chain loop with shared center ring.
Celtic Unit 5 European 5   (8.2, 2.9, 4.7, 3.9) 8.2, 2.9, 4.7, 3.9, 4.2 (5*7+1)=
36
Celtic Wings 5-cell Celtic Wings chain loop with shared center ring.
Celtic Unit 6 European 5   (11.1, 2.9, 4.7, 3.9) 11.1, 2.9, 4.7, 3.9, 4.2 (6*7+1)=
43
Celtic Wings 6-cell Celtic Wings chain loop with shared center ring.
Celtic Unit 7 European 5   (13.4, 2.9, 4.7, 3.9) 13.4, 2.9, 4.7, 3.9, 4.2 (7*7+1)=
50
Celtic Wings 7-cell Celtic Wings chain loop with shared center ring.
Celtic Unit 8 European 5   (15.6, 2.9, 4.7, 3.9) 15.6, 2.9, 4.7, 3.9 (8*7+1)=
57
Celtic Wings 8-cell Celtic Wings chain loop with shared center ring.
Celtic Unit 9 European 5     2WD (9*6+1)=
55**
Celtic Wings 9-cell Celtic Wings chain loop with shared center ring. **Singled edge rings.

Helm+

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Scaled Helm 3 Unit Japanese, Captive, Orbital 4   (3.5, 3.9, 7.4, 6.9), etc. 3.5, 3.9, 7.4, 6.9 15
3-cell Bumpa (non-alt) loop. Sample is a bit flexible.
Scaled Helm 4 Unit Japanese, Captive, Orbital 4   (3.5, 3.9, 6.3, 6.9), etc. 3.5, 3.9, 6.3, 6.9 20
4-cell Bumpa (non-alt) loop. Sample is a bit flexible.
  (Helm)              
Helm Unit 3 Japanese, Orbital 3  (3.2, 5.5, 6.5) 3.2, 5.5, 6.5 11
Helm Chain 3-way Helm Chain junction. Contraction of/expands into Helm Chain Web. Helm Chain Web
Helm Unit 4 Japanese, Captive, Orbital 3  (3.2, 5.5, 8.7) 3.2, 5.5, 8.7 14
Helm Chain 4-way Helm Chain junction. Contraction of/expands into Helm Square Sheet.
Helm Unit 5 Japanese, Captive, Orbital 3  (3.2, 5.5, 11.1) 3.2, 5.5, 11.1 17
Helm Chain 5-way Helm Chain junction. Contraction of/expands into Helm-5 Dodecahedron. Helm-5 Dodecahedron
Helm Unit 6 Japanese, Captive, Orbital 3  (3.2, 5.5, 13.4) 3.2, 5.5, 13.4 20
Helm Chain 6-way Helm Chain junction. Contraction of/expands into Helm Hex Sheet. Helm Hex Sheet
Helm Loop 3 Japanese, Captive, Orbital 3  (3.3, 5.5, 13.4) 3.3, 5.5, 13.4 15
3-cell Helm Chain loop. Contraction of/expands into Helm Hex Sheet, Helm-5 Dodecahedron.
Helm Chain Helm Hex Sheet Helm-5 Dodecahedron
Helm Loop 4 Japanese, Captive, Orbital 3  (3.2, 5.5, 7.7) 3.2, 5.5, 7.7 20
Helm Chain 4-cell Helm Chain loop. Contraction of/expands into Helm Square Sheet.
Helm Loop 5 Japanese, Captive, Orbital 3  (3.2, 5.5, 6.5) 3.2, 5.5, 6.5 25
Helm Chain 5-cell Helm Chain loop. Contraction of/expands into Helm Dodecahedron. Helm Dodecahedron
  (Helmi)              
Helmi Loop 3 Japanese, Captive, Orbital 4  (5.3, 7.4, 9.0, 11.1) 5.3, 7.4, 9.0, 11.1 21
3-cell Helmi loop.
Helmi Loop 4 Japanese, Captive, Orbital 4  (5.3, 7.4, 8.1) 5.3, 7.4, 8.1 28
4-cell Helmi loop.
Helmi Loop 5 Japanese, Captive, Orbital 4  (5.3, 7.4, 6.9) 5.3, 7.4, 6.9 35
5-cell Helmi loop.

Tao / Not Tao

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Tao 3
(M.A.I.L.)**
(Maillepedia)
Japanese, Orbital, Reinforced 3   -(4.3, 5.5)+ 4.3, 5.5 8
Orbital Unit 3 Is Orbital Unit 3 with 2 added reinforced rings, one on each side. Contraction of/expands into Tao 3 Sheet. **M.A.I.L. entry is multiple units bolted together in a chain sequence.
(Tutorial), (Video)
Tao 3 Sheet
Inverted Tao 3 Japanese, Orbital, Reinforced 3    7.0, 5.8 10 Tao 3 unit with single reinforced ring on the inside and doubled corner rings.
Upanishad
(M.A.I.L.)
Japanese, Reinforced 5  (3.2, 3.0, 6.7, 5.6), etc. 3.2, 3.0, 6.7, 5.6 (3*6)=
18
Not Tao 3 Sheet Contraction of/expands into NT3S. Related to NT3. Ring size specific. Not Tao 3 (NT3)
  (Not Tao)              
UT-NT3
(M.A.I.L.)
(Maillepedia)
  4 single: 5.2 5.2 - 5.3 5.3 8 Very AR-specific.
Not Tao 2 (NT2) Japanese, Reinforced 3     4.5 6
4-cell 2-1C loop with reinforced rings on each side. Repeated chain sequence as Bee Stings, Scary Weave, Honey Bee.
(Tutorial)
Bee Stings Scary Weave Honey Bee
Not Tao 3 (NT3)
(M.A.I.L.),
(M.A.I.L.)**
(Maillepedia)
Japanese, Reinforced 3   -(4.2, 5.5)+
-(3.2, 5.6, 6.7)+
3.2, 5.6, 6.7
4.2, 5.5
8
6-cell 2-1C loop with reinforced rings on each side. Contraction of/expands into NT3S. Repeats into NT3Web, NT3 Dodecahedron. Related to Upanishad Unit. **M.A.I.L. entry for Not Tao 3 Sheet is units bolted together.
(Tutorial), (2)
Not Tao 3 Sheet Not Tao 3 Web Not Tao 3 Dodecahedron Upanishad Unit
Not Tao 4 (NT4)
(M.A.I.L.)
Japanese, Reinforced 3   -(3.4, 9.0, 7.0)+ 3.4, 9.0, 7.0
2WD
10 8-cell 2-1C loop with reinforced rings on each side. 4-sided NT3.
Not Tao 5 (NT5)
(M.A.I.L.)
Japanese, Reinforced 3     2WD** 12 10-cell 2-1C loop with reinforced rings on each side. 5-sided NT3. **2WD: .048" 13/64", .062" 1/2", 9/32" (mandrels listed).
(Tutorial)
Not Tao 6 (NT6)
(M.A.I.L.)
Japanese, Reinforced 3     2WD** 14 12-cell 2-1C loop with reinforced rings on each side. 6-sided NT3. **2WD: .062" .602", .048" 13/64", .062" 9/32" (mandrels listed).
(Tutorial)
Not Tao 7 (NT7) Japanese, Reinforced 3     2WD** 16 14-cell 2-1C loop with reinforced rings on each side. 7-sided NT3. **2WD: .062" .708", .048" 13/64", .062" 9/32" (mandrels listed).
Not Tao 8 (NT8) Japanese, Reinforced 3     2WD** 18 16-cell 2-1C loop with reinforced rings on each side. 8-sided NT3. **2WD: .062" .708", .048" 13/64", .062" 29/128" (mandrels listed).
Not Tao 9 (NT9) Japanese, Reinforced 3     3WD** 20 18-cell 2-1C loop with reinforced rings on each side. 9-sided NT3. **3WD: .080" .850", .048" 15/64", .062" 7/32" (mandrels listed).

Celtic Visions / Borealis+

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Celtic Circle 3 (Borealis Unit)
(M.A.I.L.)
Japanese 4  (-3.3, -8.3+),
(2WD)
3.3, 8.3 (3*7)=
21
3-cell Celtic chain loop. Contraction of/expands into Borealis. See also Triangle.
Celtic Borealis Triangle
Celtic Circle 4 (CC4) Japanese 4 (3.0, >5.1)-(3.1, 5.5)+ 3.1, 5.5 (4*7)=
28
Celtic 4-cell Celtic chain loop.
Celtic Circle 5 (CC5) Japanese 4  -(3.1, 5.1)+ 3.1, 5.1 (5*7)=
35
Celtic 5-cell Celtic chain loop.
Celtic Visions Circle 4 (CVC4)
(M.A.I.L.)
Japanese 5 3.0, 6.1(3.0, 6.1) - (3.3, 6.6) 3.3, 6.3 (4*8)=
32
Celtic Visions 4-cell CV chain loop.
Celtic Visions Circle 5 (CVC5)
(M.A.I.L.)
Japanese 5  (3.0, 5.5) - (3.3, 6.0) 3.0, 5.5 (5*8)=
40
Celtic Visions 5-cell CV chain loop. Adding corner rings produces CVC5Star. Celtic Visions Circle 5 Star
Hexagram Japanese 7   (7.7, 5.5) 7.7, 5.5 60
Layered Celtic Visions 6-cell LCV loop. Ring size specific.
Kinetics Loop 4 Japanese 5   (2.6, 3.1, 4.4, 5.8) 2.6, 3.1, 4.4, 5.8 (4*6)=
24
Kinetics (1) 4-cell Kinetics loop. Very ring size specific.
Aura
(M.A.I.L.)**
(Maillepedia)
Japanese 3    3.0, 5.6 13
Contraction of/expands into Borealis, CWeb, Aura Dodecahedron. Unstable as a standalone. **M.A.I.L. entry is multiple units bolted together in chain sequence. (Tutorial),
Borealis Celtic Web Aura Dodecahedron
Inverted Aura
(M.A.I.L.)
(Maillepedia)
Japanese 3 (3.0, >5.6)(3.0, -6.0+) 3.0, 6.0 11
Borealis Contraction of/expands into Borealis, Inverted Aura Dodecahedron.
Inverted Aura 4
(M.A.I.L.)**
Japanese 3    2WD 14 4-sided Inverted Aura. Very ring size specific without stabilization. **M.A.I.L. entry has stabilizer rings around edge, and much smaller center ring.
  (Uclid)              
Uclid Loop 3 Japanese 4  (3.3, 5.5, 13.4) 3.5, 5.5 15
Uclid 3-cell Uclid loop.
Uclid Loop 4 Japanese 4  (3.2, 5.5, 7.7) 3.2, 5.5, 7.7 20
Uclid 4-cell Uclid loop.

Ouro / Space Invaders

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Ouro 3 European 4   (4.1, 8.9) 4.1, 8.9 18
1-2-1-2 Chain 1-2-1-2 Chain wrapped around large, central ring. Fastened by ring pairs at 3 edges. Very ring size specific.
Ouro 4 European 4   (4.1, 11.1) 4.1, 11.1 24
1-2-1-2 Chain 1-2-1-2 Chain wrapped around large, central ring. Fastened by ring pairs at 4 edges. Very ring size specific.
Ouro 5 European 4     4.1, 13.4, 4.2 30
1-2-1-2 Chain 1-2-1-2 Chain wrapped around large, central ring. Fastened by ring pairs at 5 edges. Very ring size specific.
Ouro 6 European 4     4.1, 15.6 36
1-2-1-2 Chain 1-2-1-2 Chain wrapped around large, central ring. Fastened by ring pairs at 6 edges. Very ring size specific.
Ouro 7 European 4     2WD 42
1-2-1-2 Chain 1-2-1-2 Chain wrapped around large, central ring. Fastened by ring pairs at 7 edges. Very ring size specific.
Space Invaders 3
(M.A.I.L.)
European 5     4.3, 9.0, 4.2 19
Ouro 3 Ouro 3 plus edge rings. Very ring size specific.
Space Invaders 4
(M.A.I.L.)
European 5     4.1, 11.1, 4.2 25
Ouro 4 Ouro 4 plus edge rings. Very ring size specific.
Space Invaders 5 European 5     4.1, 13.4, 4.2 31
Ouro 5 Ouro 5 plus edge rings. Very ring size specific.
Space Invaders 6 European 5     4.1, 15.6 37
Ouro 6 Ouro 6 plus edge rings. Very ring size specific.
Space Invaders 7 European 5     3WD 43
Ouro 7 Ouro 7 plus edge rings. Very ring size specific.
It's A Trap! 7 European, Japanese 7     2WD 51
Ouro 7 Ouro 7/Space Invaders 7 design with added central Japanese-based weave filling. Very ring size specific. Space Invaders 7

Vipera Star

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count See also: Berus (weaves).
Vipera Star 3 European, Spiral 3 (3.6, 4.5) (3.6, 4.5)+ 3.6, 4.5 13
Berused 2-1Chain wrapped around a central ring. Is basis of Hoodoo Hex (without center ring). Hoodoo Hex
Vipera Star
(M.A.I.L.)
European, Spiral 3 ~(3.6, 5.6) (3.6, 5.6) - (3.8, 6.0) 3.6, 5.6 17
Berused 2-1Chain wrapped around a central ring. Is basis of Hoodoo Sheet (without center ring).
(Tutorial), (Video)
Hoodoo Sheet
Vipera Star 5 European, Spiral 3   (3.6, -7.1) 3.6, 7.1 21 Berused 2-1Chain wrapped around a central ring.
Vipera Star 6 European, Spiral 3   (3.6, <9.3) 3.6, 9.3 25 Berused 2-1Chain wrapped around a central ring.
Vipera Star 7 European, Spiral 3   (3.6, -11.1) 3.6, 11.1 29 Berused 2-1Chain wrapped around a central ring.
Vipera Star 8 European, Spiral 3   (3.6, -13.4) 3.6, 13.4 33 Berused 2-1Chain wrapped around a central ring.
Vipera Star 9 European, Spiral 3     3.6, 15.6** 37 Berused 2-1Chain wrapped around a central ring. **Large ring slightly oversized in sample.

Byzantine+

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Byzantine 3 Unit (Byz3U) European 4 (3.2, (3.9 or 4.0))   3.3, 4.0 (3*6+2)=
20
Byzantine 3 Byz cells off central doubled ring set. Contraction of/expands into Byz Web. Byzantine Web
Byzantine 4 Unit (Byz4U) European 4 (3.2, (5.4 or 5.5))   3.3, 5.4 (4*6+2)=
26
Byzantine 4 Byz cells off central doubled ring set. Contraction of/expands into Byz Web Square. Byzantine Web Square
Byzantine 5 Unit (Byz5U) European 4     3.3, 7.0 (5*6+2)=
32
Byzantine 5 Byz cells off central doubled ring set. Pentagonally tessellates as Byz Dodecahedron. Byzantine Dodecahedron
Byzantine 6 Unit (Byz6U) European 4 (3.2, (8.4 or 8.5))   3.2, 8.5 (6*6+2)=
38
Byzantine 6 Byz cells off central doubled ring set. Contraction of/expands into Byz Web Triangle. Byzantine Web Triangle

December/Celtic Labyrinth

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
December 3 European 5   (3.6, 4.5, 7.4) 3.6, 4.5, 7.4 23 Byz3U with added corner rings spreading open Byz terminated ends.
December 4 (Celtic Labyrinth), (Byzantine Diamond)
(M.A.I.L.)
(Maillepedia)**
European 5   (3.6, 6.6) 3.6, 6.6 30 Byz4U with added corner rings spreading open Byz terminated ends. **Maillepedia entry is bolted sequence of units.
(Tutorial), (Video), (2)
December 5
(M.A.I.L. gallery)
European 5   (3.6, 8.7) 3.6, 8.7 37 Byz5U with added corner rings spreading open Byz terminated ends.
(Video)
December
(M.A.I.L.)
European 5   (3.6, 11.1) 3.6, 11.1 44 Byz6U with added corner rings spreading open Byz terminated ends.
December 7 European 5   (3.5, 12.1) 3.5, 12.1 51 Byz7U with added corner rings spreading open Byz terminated ends.
December 8 European 5   (3.5, 13.4) 3.5, 13.4 58 Byz8U with added corner rings spreading open Byz terminated ends.
December 9 European 5     2WD 65 Byz9U with added corner rings spreading open Byz terminated ends.
December 10 European 5     2WD 72 Byz10U with added corner rings spreading open Byz terminated ends.

B^

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
B^3
(M.A.I.L.)**
Japanese, European 4 >4.4-4.7 4.7 (3*8)=
24
B^ Chain 3-cell B^ Chain loop. Repeats into B^3 Web. **M.A.I.L. entry has inside set of rings singled. Bł Web
B^2 (B^4)
(M.A.I.L.)
Japanese, European 5  4.1 4.1 (4*8)=
32
B^ Chain 4-cell B^ Chain loop. Ring size specific.
(Tutorial), (Video)
B^5 Japanese, European 5  (4.0, 3.6) 4.0, 3.6 (5*8)=
40
B^ Chain 5-cell B^ Chain loop. Very ring size specific.
B^3+1 Japanese, European 6  (4.2, 3.9, 4.1) 4.2, 3.9, 4.1 22** B^3 unit with an added central (hidden in picture) ring. **singled connectors.
B^2+1 (B^4+1)
(M.A.I.L.)
Japanese, European 4 4.44.4 4.4 33 B^2 unit with an extra ring in the middle for structure. Ideal chess king topper.
B^5+1 Japanese, European 6   (6.9, 4.4, 3.7) 6.9, 4.4, 3.7
(group)
41 B^5 with added central ring.
B^6+1 Japanese, European 6  (8.7, 4.5, 3.7) 8.7, 4.5, 3.7 49 B5+1 side adding progression.
B^7+1 Japanese, European 6  (11.1, 4.5, 3.7) 11.1, 4.5, 3.7 57 B6+1 side adding progression.
B^8+1 Japanese, European 6  (13.4, 4.5, 3.7) 13.4, 4.5, 3.7 65 B7+1 side adding progression.
B^9+1 Japanese, European 6    2WD 73 B8+1 side adding progression.
B^10+1 Japanese, European 6    2WD 81 B9+1 side adding progression.

B^ G-Units

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
B3g European 4  (5.5, 4.0, 4.9) 5.5, 4.0, 4.9 (3*5)+2=
17
Inverted B^3 unit.
B2g (B4g)
(M.A.I.L.)
European 4  (6.5, 4.1, 4.2) 6.5, 4.1, 4.2 (4*5)+2=
22
B3g side adding progression.
(Tutorial),
B5g European 4  (8.4, 4.1, 4.2) 8.4, 4.1, 4.2 (5*5)+2=
27
B4g side adding progression.
B6g European 4  (11.1, 4.1, 4.4) 11.1, 4.1, 4.4 (6*5)+2=
32
B5g side adding progression.
B7g European 4  (13.4, 4.1, 4.2) 13.4, 4.1, 4.2 (7*5)+2=
37
B6g side adding progression.
B8g European 4    2WD (8*5)+2=
42
B7g side adding progression.
B9g European 4     2WD (9*5)+2=
47
B8g side adding progression.

B^ / G-Unit Combo

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 (group) Ring Count Note
B2g^2 Japanese, European 7   (5.8, 4.7, 3.7, 4.2) 5.8, 4.7, 3.7, 4.2 27 Alternates between B^ and B#g knots. Large center ring.
B3g^3 Japanese, European 7   (9.0, 4.5, 3.7, 4.2) 9.0, 4.5, 3.7, 4.2 43 Alternates between B^ and B#g knots. Large center ring. Very ring size specific.
B4g^4 Japanese, European 7   (13.4, 4.5, 3.9, 4.2), 2WD 13.4, 4.5, 3.9, 4.2 57 Alternates between B^ and B#g knots. Large center ring. Very ring size specific.

Oriental Scale Hugger

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Oriental Scale 3 Hugger Japanese, Captive, Orbital 4   (3.9, 8.2) 3.9, 8.2 16
1-2-1-2 Chain 3-cell 1-2-1-2 Chain pulled around one large ring and clamped together by hugger rings, two per cell. Ring size specific. WD of hugger rings must fit the space and have them lock in place. OS with very specifically-sized added corner rings that hug the outside edge. Oriental Scale
Oriental Scale 4 Hugger Japanese, Captive, Orbital 4   (3.9, 4.4, 11.1, 3.5) 3.9, 4.4, 11.1, 3.5 21
1-2-1-2 Chain 4-cell 1-2-1-2 Chain pulled around, and clamped onto one large, central ring. Very ring size specific. WD of hugger rings must fit the space and have them lock in place. OS4 with very specifically-sized added corner rings that hug the outside edge. Hugger rings are 3.5. Corner rings are 3.9. Oriental Scale 4
Oriental Scale 5 Hugger Japanese, Captive, Orbital 4   (3.9, 4.5, 13.4, 3.5), etc. 3.9, 4.5, 13.4, 3.5 26
1-2-1-2 Chain 5-cell 1-2-1-2 Chain pulled around, and clamped onto one large, central ring. Very ring size specific. WD of hugger rings must fit the space and have them lock in place. OS5 with very specifically-sized added corner rings that hug the outside edge. Hugger rings are 3.5. Corner rings are 3.9. Oriental Scale 5
Oriental Scale 6 Hugger Japanese, Captive, Orbital 4     4.0, 4.5, 15.6, 3.6 31
1-2-1-2 Chain 6-cell 1-2-1-2 Chain pulled around one large ring and clamped together by hugger rings, two per cell. Very ring size specific. WD of hugger rings must fit the space and have them lock in place. Hugger rings are 3.6. Corner rings are 4.0.
  (Half Hugger)             Single hugger ring per cell: can be placed in either position.
Oriental Scale 4 Half Hugger Japanese, Captive, Orbital 4   (3.9, 4.1, 11.1) 3.9, 4.1, 11.1 17
1-2-1-2 Chain 4-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific. OS4 with very specifically-sized added corner rings that hug the outside edge. Corner rings are 3.9. Oriental Scale 4
Oriental Scale 5 Half Hugger Japanese, Captive, Orbital 4   (3.9, 4.3, 13.4), etc. 3.9, 4.3, 13.4 21
1-2-1-2 Chain 5-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific. OS5 with very specifically-sized added corner rings that hug the outside edge. Corner rings are 3.9. Oriental Scale 5
Oriental Scale 6 Half Hugger Japanese, Captive, Orbital 4     2WD 25
1-2-1-2 Chain 6-cell 1-2-1-2 Chain pulled around one large ring and clamped together by hugger rings, one per cell. Very ring size specific.
Oriental Scale 7 Half Hugger Japanese, Captive, Orbital 4     2WD 29
1-2-1-2 Chain 7-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific.
Oriental Scale 8 Half Hugger Japanese, Captive, Orbital 4     2WD 33
1-2-1-2 Chain 8-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific.
Oriental Scale 9 Half Hugger Japanese, Captive, Orbital 4     2WD 37
1-2-1-2 Chain 9-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific.
Oriental Scale 10 Half Hugger Japanese, Captive, Orbital 4     2WD 41
1-2-1-2 Chain 10-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific.
Oriental Scale 11 Half Hugger Japanese, Captive, Orbital 4     2WD 45
1-2-1-2 Chain 11-cell 1-2-1-2 Chain pulled around a large ring and clamped by hugger rings. Very ring size specific.

Extended

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Compass Rose
(M.A.I.L.)
(Maillepedia)
European, Spiral, Captive 5     2WD** 58
Hoodoo Chain Hoodoo Chain loop surrounds 2 central captive rings. 8 protruding rings. Very ring size specific. **2WD: .062" 3/16", .100" 7/16" - not entirely stable: captives can be forced out. Minimum security prison.
Byzee Beez Loop 4 (Plus 1) European 9   (4.1, 3.5) 4.1, 3.5 19
Byzee Beez 4-cell Byzee Beez loop with additional stabilizing ring in the center. Ring size specific.
Byzantine Halo Unit
(M.A.I.L.)**
European 6     3WD 19
Byzantine Single Byz segment locked around large, central ring, and pinned at sides. Ring size specific. **M.A.I.L. entry for Byzantine Halo is chain sequence.
Triangle
(M.A.I.L.)
Japanese, European 6    2WD (3*9)=
27
Celtic Circle 3 (CC3) (Borealis Unit) CC3 with visions (CVC3 doesn't work well on its own), added corners, and enhanced edges.
(Tutorial)
Triumvirate
(M.A.I.L.)
Japanese, Orbital 6    2WD
2WD
29
Japanese 3 in 1 Built off J3-1. 3 ring sizes in most cases, ideally in multiple WDs. Sample: .062" aluminum 1/8", 1/4", .080" copper 1/4".
(Tutorial)
Triumvirate (2) Japanese, Orbital 6    2WD 50
Japanese 6 in 2 (J6-2) Built off J6-2. 5 ring sizes used in sample: .062" 3/16", 7/32", 1/4", and .080" 13/32", 5/16" (mandrels listed).
Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Celtic Star
(M.A.I.L.)
Japanese 6  -(3.3, 5.5)+ 3.3, 5.5 (5*9)=
45
Celtic Visions Circle 5 CVC5 unit with rings added to 5 outside corners. Center ring(s) optional.
(Tutorial), (Video)
Helmish Aura Unit
(M.A.I.L.)**
Japanese, Orbital 9   (3.1, 5.8) 3.1, 5.8 38
Aura Unit 2 Aura units connected with, and terminated by Helm Chain segments. **M.A.I.L. entry for Helmish Aura is a chain sequence. Helm Chain
Quadratic 2 in 1 Unit
(M.A.I.L.)
(Maillepedia)
Spiral 1  -8.4 - 8.7 set 4 4-ring 2-1C forced spiral unit.
Mercury Unit
(M.A.I.L.), (2-1 ByzCaptive)
(Maillepedia), (2-1 ByzCaptive)**
Japanese, European 2 single: ~3.8 3.9 3.9 6
2-ring 2-1C segment with 4-ring "Box" enclosure. Integrates into Hoodoo Chain. Repeats as Mercury. **M.A.I.L., and Maillepedia entries are chain sequences. Mercury (Chain)
Mercury (King Core) Unit Japanese, European 2   -4.6 - 5.0 4.6 6
2-cell 4-2C segment with 4-ring "Box" enclosure. Repeats as Mercury (King Core).
  (Non-Radial)              
Minerva Unit
(Minverva), (Byz Double Knot)**
European 6   5.0 - 5.1 5.0 10
Minerva 8-cell 4-2C folded back completely and locked in place with two additional rings. **Single unit as found in Minerva, and Byz Double Knot chains.
(Tutorial), (Video)
Byzantine Double Knot
Airplane
(M.A.I.L.)
European, Japanese 6   (5.3, 4.8, 4.0, 3.6), etc. 5.3, 4.8, 4.0, 3.6 14 (Tutorial)
  (Unit A)              
Unit A 8 European 5     2WD 41
Very ring size specific.
Unit A 8 Alt European 5     2WD 41
Very ring size specific. Sample is slighly loose.
Unit A 8 Alt 2 European 4     2WD 41
Very ring size specific.
Unit A 8 Alt 3 European 4     2WD 41
Very ring size specific.

3D

Orb

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Samples Ring Count
Repeats into Tetra Orb Cube.Tetra Orb Cube (2)
Tetra Orb
(M.A.I.L.)
(Maillepedia)
Japanese, Orbital 3 single: 6.06.0 - 6.1+ 6.0 (4+6*2)=
16
4-ring tetrahedron core. 6 edges each have an orbital ring held in place by a protruding ring.
(Tutorial)
Tetra Orb (2) Japanese, Orbital 3 single: 6.26.2 - 6.6 6.2 (4+6*3)=
22
Double protruding rings. Dimensionalises as TOT Cube. Repeats into Tetra Orb Cube (2).
(Tutorial).
TOT Cube
Tetra Orb (3) Japanese, Orbital 4 single: 6.66.6+ 6.7 (4+6*4)=
28
Triple protruding rings.
(Tutorial)
  (Johnson Solid)              
Johnson Solid Steel Ball
(M.A.I.L.)
Japanese, Orbital 3 single: 6.76.7 - 7.0 6.7
(2)
(6+9*2)=
24
6-ring hedron core. 9 edges each have an orbital ring held in place by a protruding ring.
Johnson Solid Steel Ball (2) Japanese, Orbital 3 single: 6.86.8 - 7.0+ 6.8
(2)
(6+9*3)=
33
Double protruding rings.
Johnson Solid Steel Ball (3) Japanese, Orbital 4 single 7.37.3+ 7.3
(2)
(6+9*4)=
42
Triple protruding rings.
  (Octa)              
Octa Orb Japanese, Orbital 3 single: 7.07.0 7.0
(2)
(8+12*2)=
32
8-ring octahedron core. 12 edges each have an orbital ring held in place by a protruding ring.
Octa Orb (2) Japanese, Orbital 3  7.3 - <7.8 7.3
(2)
(8+12*3)=
44
Double protruding rings.
Octa Orb (3) Japanese, Orbital 4  7.8+ 7.8 (8+12*4)=
56
Triple protruding rings.
  (Hexa)              
Hexa Orb Japanese, Orbital 3    9.3, 5.8, 4.3
(2) (3)
(6+12*2)=
30
6-ring hexahedron (cube) core. 12 edges each have an orbital ring held in place by a protruding ring.
Hexa Orb (2) Japanese, Orbital 3    9.3, 6.7, 5.5
(2)
(6+12*3)=
42
Double protruding rings. Sample is a bit loose.
Hexa Orb (3) Japanese, Orbital 4    11, 7.0, 5.9, 5.7
(2) (3)
(6+12*4)=
54
Triple protruding rings.
  (Dodeca)              
Dodeca Orb (2) Japanese, Orbital 3     13, 7.0, 5.9
(2)
102 12-ring dodecahedron core. 30 edges each have an orbital ring held in place by protruding rings, doubled.

Dodecahedron

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Plus Dodeca Orb, just above.
Japanese 5 in 1 (J5-1)
(M.A.I.L.)
Japanese 2     2.1, 2.7 42 Cross between J4-1, and J6-1. Forced dodecahedron.
(Tutorial), (Video)
Japanese 10 in 2 (J10-2) Japanese 3     2.7, 4.7, 5.4** 84 Kinged J5-1. Cross between J8-2, and J12-2. Forced dodecahedron. **Large ring pair has smaller ring on inside.
(Video)
Celtic Visions Dodecahedron
(M.A.I.L.)
Japanese 6     2WD
(2)
242
Celtic Visions CV-based. CVWeb with pentagonal tessellation. a.k.a. "Celtic Rose Sheet (Pentagonal Tessellation)". Celtic Visions Web
Aura Dodecahedron Japanese 4     3.2, 5.0, 5.8 180
Aura Unit Aura units forming dodecahedron. CWeb with pentagonal tessellation. CV Dodecahedron without the "visions" rings. Celtic Web
Inverted Aura Dodecahedron Japanese 4     3.1, 5.0, 6.0, 6.3 180
Inverted Aura Inverted Aura units forming dodecahedron.
Helm Dodecahedron Japanese, Captive, Orbital 4     3.5, 5.9, 6.6, 7.5 130
Helm Chain Helm Chain-based. Helm Chain Web with pentagonal tessellation. Helm Chain Web
Helm-5 Dodecahedron Japanese, Captive, Orbital 4  (2WD) 3.5, 5.9. 11.0, 12.5 114
Helm Unit 5 Helm Unit 5 expanded into a dodecahedron. Ring size specific.
Orbital Japanese 6 in 2 Dodecahedron
(M.A.I.L.)
Japanese, Orbital 4     3.2, 4.9, 5.3 160
OJ6-2U forming dodecahedron. OJ6-2 with pentagonal tessellation. Ring size specific. Orbital Japanese 6 in 2
Hourglass Dodecahedron Japanese, Orbital 3 single: 6.9 or 7.0 6.9? - 7.0 7.0 140
Hourglass Unit Hourglass Units with pentagonal tessellation forced into a sphere.
(Tutorial)
Hourglass Dodecahedron (2)
(M.A.I.L.)
Japanese, Orbital 3 single: 7.1 7.1 - 7.2 7.4, 7.3, 6.6
7.1
160
Hourglass Unit (2) Double center rings. Hourglass Unit (2) with pentagonal tessellation forced into a sphere. Related to OHC, OHCWeb.
(Tutorial)
Orbital Hex Cage Web (Hourglass Web)
Hourglass Dodecahedron (3) Japanese, Orbital 4 single: 7.7 7.7+ 7.7 180
Hourglass Unit (3) Triple center rings. Hourglass Unit (3) with pentagonal tessellation forced into a sphere.
(Tutorial)
Image Name Family/Sub Ring
Types
Minimum AR Ideal AR1 Sample Ring Count Note
Orbital Hex Cage Unit Dodecahedron Japanese, Orbital 4     6.0, 6.2, 6.8 160
Orbital Hex Cage Unit OHCU forming dodecahedron. OHCUWeb with pentagonal tessellation. Ring size specific. Orbital Hex Cage Unit (OHCU) Web
Orbital Pentagonal Cage Unit Dodecahedron Japanese, Orbital 3    8.7, 7.3, 6.4
(2)
110 5-sided OHC/OSC unit forming dodecahedron.
Acute Mandala Dodecahedron Japanese, Orbital 4   (3.1, 6.2, <8.7, <9.5) 3.1, 6.2, 8.7, 9.5 240
Acute Mandala Acute Mandala units forming dodecahedron. Very ring size specific.
Oriental Scale (OS) Dodecahedron
(M.A.I.L. gallery)
Japanese, Orbital 4   (3.2, 6.9, 5.8) 3.2, 6.9, 5.8 120
Oriental Scale OS units forming dodecahedron. JDS Web with pentagonal tessellation.
Not Tao 3 (NT3) Dodecahedron
(M.A.I.L.)
Japanese, Reinforced 4   (4.2, 4.7, 5.0) 4.2, 4.7, 5.0 120
Not Tao 3 (NT3) NT3 units forming dodecahedron. NT3 Web with pentagonal tessellation. Not Tao 3 Web (NT3 Web)
M3 Dodecahedron Spiral/Mobius 1 ~2.3 2.4 2.4 60
Mobius 3s repeated into a dodecahedron. M3 with pentagonal tessellation. Ring size-specific. Sample is wrapped around a marble for stability. M3
Hoodoo Dodecahedron Spiral 3   3.0 3.0 240
Hoodoo Chain Hoodoo Chain-based dodecahedron. Hoodoo Web with pentagonal tessellation. Ring size specific. Hoodoo Web
4 Winds Dodecahedron Persian 3   (3.1, 7.7) 3.1, 7.7 192
4 Winds 4 Winds segments forming doecahedron. 4 Winds Hex Sheet with pentagonal tessellation instead. 4 Winds Hex Sheet
Byzantine Dodecahedron European 4   (3.3, 7.2) 3.3, 7.2 324
10-ring Byz segments tessellated pentagonally, continued into a sphere. Byz5U forming dodecahedron. Byz Web with pentagonal tessellation.
Byzantine Byzantine 5 Unit Byzantine Web
Trizantine Dodecahedron European 7   <(4.3, 5.4, 6.1, 10.8) 4.3, 5.4, 6.1, 10.8 444
Trizantine (Triz) 14-ring Triz segments tessellated pentagonally, continued into a sphere. Triz Web with pentagonal tessellation. Ring size specific. Sample is loose. Trizantine Web

Mobius

Image Name Family/Sub Ring
Types
Minimum AR Ideal AR Sample Ring Count
Spiral 4 in 1 Basis of many Spiral weaves. Spiral 4 in 1 Web
Mobius Ball  
(M.A.I.L.)
(Maillepedia)    
Spiral/Mobius         1   -6.0 - 14.0+ 14 variable Sphere composed of several same-size rings, with each passing through every other ring, consistently leaning in the same direction.
(Tutorial), (2)
Mobius 3 Spiral/Mobius 1 2.02.1+ table 3
Three ring mobius. Base construct of Hoodoo Hex, Voodoo Hex. Repeats into M3, Dragog. Chain sequenced as Mobius Chain, Flower, Daisy Chain 1, Daisy Chain 2. These "units" sometimes replaces single rings in weaves to modify their appearance/behaviour.
Hoodoo Hex Voodoo Hex M3 Dragog Mobius Chain Flower Daisy Chain 1 Daisy Chain 2
Mobius 4 Spiral/Mobius 1 2.4 or 2.52.5+ table 4
Four ring mobius. Spiral 4 in 1 basis. Base construct of Hoodoo (Sheet), Voodoo. Repeats into Brejao Flowers, Dragog Square, Dragog Square Web. Chain sequenced as Fourever Chain.
Spiral 4 in 1 Hoodoo (Sheet) Voodoo Brejao Flowers Dragog Square Dragog Square Web Fourever Chain
Mobius 5 Spiral/Mobius 1 3.03.1+ table 5 Five ring mobius. Base construct of Moorish Rose Dodecahedron.
Mobius 6 Spiral/Mobius 1 3.23.3+ table 6
Six ring mobius. Spiral 6 in 1 basis. Base construct of Moorish Rose. Repeats into M6.
Spiral 6 in 1 Moorish Rose M6
Mobius 7 Spiral/Mobius 1 3.6 or 3.73.7+ table 7 Seven ring mobius.
Mobius 8 Spiral/Mobius 1 3.94.0+ table 8
Spiral 8 in 1 Eight ring mobius. Spiral 8 in 1 basis.
Mobius 9 Spiral/Mobius 1 4.24.3+ table 9 Nine ring mobius.
Mobius 10 Spiral/Mobius 1 4.5 or 4.64.6+ table 10 Ten ring mobius.


3D | Acute Mandala | Aura | B^ | B2g | Byz | Celtic | Celtic Rosette
Celtic Wings | Compass Rose | December | Dodecahedron | Helm
Hourglass | Hugger | J5-1 | Labyrinth | Mercury | Mobius | OJ
OHC/OSC | OS/IOS | Ouro | Quadratic | Space Invaders
Tao/Not Tao | Tetra Orb | Triangle | Triumvirate
Uclid | Upanishad | Veloop | Vipera Star



1Ideal AR:

Units tend to be AR-specific, and many use multiple ring types. Experiment with different ring sizes and wire diameters to find a good fit.