GEOMAG constructions: Index of constructions sorted by total pieces

Index of constructions sorted by total pieces

	pieces	balls	rods	pentagons	squares	rhombuses	triangles	weights	titles
1	3	1	2					18.00 g	Self-portrait
2	6	3	3					39.90 g	Equilateral triangle
3	9	4	4		1			55.02 g	Square
4	11	5	5	1				69.50 g	Regular pentagon
5	14	4	6				4	65.08 g	Regular tetrahedron
6	14	8	6					97.00 g	Regular tetrahedron filled with balls
7	19	7	9			3		106.82 g	Regular hexagon with auxiliary rods and rhombuses
8	19	7	12					116.60 g	Regular hexagon with auxiliary rods
9	26	6	12				8	112.96 g	Regular octahedron
10	26	8	12		6			136.12 g	Cube or regular hexahedron
11	26	8	18					153.40 g	Snub disphenoid
12	27	9	15		3			153.36 g	Regular hexagon from triangular cupola
13	32	10	22					189.40 g	Edge module of the modular cube
14	34	10	22		2			193.04 g	Sphenocorona
15	34	10	24					198.80 g	Regular tetrahedron to double scale
16	37	12	20		5			206.30 g	Regular octagon from square cupola
17	42	12	28		2			238.44 g	Sphenomegacorona, view 1
18	46	15	25	1	5			258.60 g	Regular decagon from pentagonal cupola
19	49	13	36					281.00 g	Cuboctahedron reinforced with internal rods
20	50	12	24		6		8	231.88 g	Cuboctahedron
21	50	14	36					289.60 g	Stella octangula
22	54	18	30		6			306.72 g	Regular dodecagon external to squares and triangles
23	58	16	38		4			323.48 g	Disphenocingulum
24	58	16	42					335.00 g	Vertex module of the modular cube
25	61	20	35	6				354.50 g	Regular decagon from pentagonal rotunda
26	62	12	30				20	256.60 g	Regular icosahedron
27	62	20	30	12				349.00 g	Regular dodecahedron
28	68	16	36			12	4	326.56 g	Truncated regular tetrahedron
29	80	30	40	10				476.00 g	Regular decagon internal to pentagons
30	81	45	36					556.20 g	Cuboctahedron reinforced and filled with balls
31	92	26	54	6	6			506.32 g	The reinforced regular dodecahedron
32	97	28	57	6	6			537.62 g	The balanced, reinforced regular dodecahedron
33	98	24	48		18		8	469.72 g	Rhombicuboctahedron
34	108	36	60		12			613.44 g	Regular dodecagon internal to squares and triangles
35	110	20	90					595.00 g	Compound of five tetrahedra, view 1
36	114	24	90					629.40 g	Six embedded tetrahedra
37	122	24	60		6		32	519.16 g	Snub cuboctahedron
38	122	30	60	12			20	588.40 g	Icosidodecahedron
39	122	32	60		6	24		602.68 g	Truncated regular octahedron
40	122	32	90					698.20 g	Regular dodecahedron with internal pentagonal pyramids
41	122	32	90					698.20 g	Regular dodecahedron with external pentagonal pyramids
42	130	32	72		18		8	651.32 g	Truncated cube
43	130	34	96					743.60 g	Tetrahedron to quadruple scale
44	140	50	70	10	10			807.20 g	Regular 20-agon internal to squares and pentagons
45	152	40	92		20			812.80 g	Pawn
46	161	46	115					936.10 g	Pseudogeodesic spherical cup to scale 1
47	165	60	90	15				984.00 g	Regular 30-agon external to triangles and pentagons
48	182	32	150					980.20 g	The rhombic triacontahedron around five tetrahedra, view 1
49	210	66	126	12	6			1.21 kg	Regular 24-agon from regular dodecagon
50	218	50	168					1.22 kg	Stella octangula to double scale
51	223	43	180					1.22 kg	Interlaced cubes, edge 2, view 1
52	242	60	120	12	30		20	1.18 kg	Rhombicosidodecahedron
53	242	62	120			60		1.18 kg	Rhombic hexecontahedron to scale 1
54	242	62	180					1.38 kg	Rhombic hexecontahedron built on an icosidodecahedron
55	279	72	157	2	38	10		1.45 kg	Knight
56	289	76	175	13	25			1.56 kg	Bishop
57	302	60	150	12			80	1.31 kg	Snub icosidodecahedron
58	302	80	150	12		60		1.52 kg	Truncated regular icosahedron
59	306	72	168		66			1.53 kg	Rhombitruncated cuboctahedron around the rhombicuboctahedron
60	310	107	203					1.87 kg	Lobel Frame plio/rayf/rivf/60n60p5.c6, view 1
61	314	80	168		42	24		1.59 kg	Rhombitruncated cuboctahedron
62	320	80	216	24				1.78 kg	Reinforced rhombicosidodecahedron, method 2
63	328	80	175	3	50	20		1.64 kg	Rook
64	330	84	228		18			1.83 kg	Arch of 9 sphenomegacoronae, view 1
65	332	80	216		36			1.77 kg	Reinforced rhombicosidodecahedron, method 1
66	345	177	168					2.31 kg	Double-scale filled cuboctahedron
67	353	51	302					1.86 kg	Interlaced cubes, edge 3, view 1
68	388	97	291					2.20 kg	Three incident circular curves, side view
69	392	98	280		14			2.18 kg	Ring A of 14 snub disphenoids
70	392	98	280		14			2.18 kg	Ring B of 14 snub disphenoids
71	398	80	240		78			1.96 kg	Reinforced rhombitruncated cuboctahedron
72	438	111	327					2.49 kg	Three non-incident circular curves, side view
73	440	80	360					2.38 kg	The truncated regular icosahedron around five tetrahedra, view 1
74	440	104	336					2.47 kg	Modular cube
75	456	108	285	6	57			2.39 kg	Queen
76	482	120	270	12	60		20	2.46 kg	Truncated regular dodecahedron
77	482	122	360					2.74 kg	Double-scale regular dodecahedron
78	482	122	360					2.74 kg	Pseudogeodesic sphere
79	492	117	303	6	66			2.57 kg	King
80	496	136	264	96				2.70 kg	Eight regular dodecahedra around a rhombicosidodecahedron
81	512	128	352		32			2.81 kg	Ring of 16 sphenocoronae
82	555	142	345		68			2.97 kg	Minor dome of the Taj Mahal, view 1
83	632	152	456	24				3.52 kg	Twelve regular icosahedra around a rhombicosidodecahedron
84	691	172	340	32	147			3.44 kg	Double arch
85	782	200	420	12	90	60		3.98 kg	Rhombitruncated icosidodecahedron
86	784	184	528	72				4.28 kg	Twelve icosahedra, and eight dodecahedra around a rhombicosidodecahedron
87	797	197	535	15	50			4.34 kg	Pseudogeodesic sphere over five pentagonal supports
88	866	194	432			240		4.04 kg	Rhombic hexecontahedron to scale 1½
89	946	231	494	36	185			4.75 kg	Intersection of two 20-agons
90	992	260	636	60	36			5.47 kg	Rhombitruncated icosidodecahedron around the rhombicosidodecahedron
91	1020	255	680		85			5.54 kg	Ring of 17 disphenocingulums
92	1062	354	708					6.37 kg	Chains of octahedra
93	1070	260	810					6.04 kg	The modular dodecahedron, view 1
94	1112	272	756	24	60			6.07 kg	Rhombitruncated icosidodecahedron around the rhombicosidodecahedron, version 2
95	1129	214	915					6.14 kg	Four hyperboloid modules in a tetrahedric arrangement, view 1
96	1160	284	816		60			6.39 kg	Extended modular cube
97	1230	314	701	40	115	60		6.41 kg	Four nested polyhedra
98	1290	325	670	36	136	41	82	6.41 kg	Mosque 3, general view
99	1301	324	701	35	130	40	71	6.52 kg	Mosque 2, frontal view
100	1303	329	664	40	138	16	116	6.42 kg	Mosque 1, general view
101	1397	181	1216					7.27 kg	Tower of interlaced cubes, edge 3, view 1
102	1408	328	780		300			7.03 kg	Cubic structure with cuboctahedra, 2
103	1456	304	732			420		6.66 kg	Rhombic hexecontahedron to scale 2
104	1510	340	930	240				8.02 kg	The dodecahedron made of dodecahedra A, view 1
105	1518	246	1272					8.09 kg	Tower of 8 hyperboloid modules, view 1
106	1612	400	1032	180				8.83 kg	Twelve icosahedra, eight dodecahedra, and twelve icosidodecahedra around a rhombicosidodecahedron (incomplete)
107	1656	372	1284					9.23 kg	Giant regular octahedron
108	1762	393	1136		233			9.14 kg	Oblique structure with cuboctahedra 3, view 1
109	1866	462	1131	26	247			9.82 kg	DNA double helix, version 1, view 1
110	1927	406	1521					10.64 kg	Three incident circular curves to double scale, side view 1
111	1945	486	1216	243				10.62 kg	Eleven icosahedra, eleven dodecahedra, and fifteen icosidodecahedra around a rhombicosidodecahedron
112	1960	437	1256		267			10.15 kg	Oblique structure with cuboctahedra 2, view 1
113	1960	484	1200	276				10.63 kg	Twelve icosahedra, eight dodecahedra, twelve icosidodecahedra, and another twelve dodecahedra around a rhombicosidodecahedron (incomplete)
114	1990	512	1205	26	247			10.59 kg	DNA double helix, version 2, view 1
115	2050	514	1536					11.64 kg	Tetrahedron to scale 16 (Sierpinski, fourth iteration), side view
116	2056	490	1077	78	411			10.26 kg	Rings 1
117	2154	512	1207		435			10.87 kg	Helix 4, one helix
118	2174	542	1356	276				11.86 kg	Twelve icosahedra, twelve dodecahedra, and twenty icosidodecahedra around a rhombicosidodecahedron
119	2218	508	1448	2	260			11.65 kg	Helix 2A
120	2253	574	1323	80	276			11.90 kg	Chapel 8, view 1
121	2260	580	1380	240	60			12.30 kg	The dodecahedron made of dodecahedra B, view 1
122	2266	524	1469		273			11.91 kg	Helix 2B, view 1
123	2297	497	1800					12.73 kg	Nested incident circular curves, side view 1
124	2475	602	1327	78	392	76		12.47 kg	Helix 1, view 1
125	2504	536	1656		312			12.96 kg	Giant regular tetrahedron, view 1
126	2504	566	1419	24	291	204		12.43 kg	Tower 1, general view
127	2684	612	1864		208			14.40 kg	Chapel 2, support structure stacked twice
128	2702	638	1878		186			14.65 kg	Chapel 7, view 1
129	2709	652	1622		435			14.02 kg	Helix 4, two helices
130	2752	650	1409	110	583			13.60 kg	Rings 3
131	2786	654	1513	86	533			13.96 kg	Geomag logo made with Geomag
132	2802	740	1792	240	30			15.56 kg	Three rhombitruncated icosidodecahedra in two levels
133	2856	711	2085		60			16.02 kg	Pseudogeodesic spherical cup to scale 4, horizontal view
134	2897	707	2150	40				16.31 kg	Pseudogeodesic sphere to scale 2 on five supports: horizontal view
135	2948	668	1776	84	321	99		15.07 kg	Chapel 6, side view
136	2994	739	1858	221	176			16.07 kg	«Tree» around a rhombicosidodecahedron, side view
137	2994	753	1704	132	405			15.62 kg	Nine columns and semicircular arches, view 1
138	3005	692	1737	48	321	207		15.14 kg	Tower 2, general view
139	3008	710	1531	122	645			14.84 kg	Rings 2
140	3015	708	2195		112			16.61 kg	Stacking of rings B, view 1
141	3042	911	2004	127				17.63 kg	Great Mosque, frontal view
142	3100	732	1997	61	310			16.43 kg	Chapel 3 with upright dome, side view
143	3101	857	2080		164			17.44 kg	2001 Space Station, view 1
144	3114	776	1880	80	378			16.44 kg	Chapel 1, side view
145	3159	693	2466					17.55 kg	Two stacked giant octahedra, view 1
146	3264	792	2037		435			17.18 kg	Helix 4, three helices
147	3305	787	2147	61	310			17.61 kg	Chapel 3, side view
148	3317	741	2270		306			17.60 kg	Chapel 5, side view
149	3326	820	1728	84	282	180	232	16.34 kg	Platonic and Archimedean solids
150	3370	816	2032	80	442			17.61 kg	Chapel 2, side view 1
151	3443	857	2310	60	216			18.80 kg	Chapel 4, side view
152	3453	828	2271	60	294			18.51 kg	The Brussels' Atomium, view 1
153	3471	816	2202	60	393			18.26 kg	The Brussels' Atomium, version 2, view 1
154	3504	784	1872		848			17.08 kg	Cubic structure with cuboctahedra, 1
155	3672	888	2349		435			19.47 kg	Helix 4, four helices
156	3686	909	2424		353			19.85 kg	Astronomical observatory, view 1
157	3834	973	2144	22	261	57	377	19.30 kg	The Taj Mahal to scale 1:125, frontal view
158	3913	937	2976					22.05 kg	Sierpinski cuboctahedron (third iteration, scale 8), view 1
159	3946	874	2448		528	96		20.12 kg	Giant tetrahedron filled with giant balls
160	3956	1001	2338	48	509	60		20.75 kg	Full chess set (photomontage)
161	3960	900	2756		304			21.25 kg	Chapel 2, support structure stacked thrice (incomplete)
162	4218	960	2616	216	426			21.97 kg	The giant icosahedron to scale 5.92, view 1
163	4220	994	2882		344			22.72 kg	Chapel 10, view 1
164	4424	933	2556	15	115		805	20.79 kg	Christmas tree, view 1
165	4486	1050	2808	80	548			23.46 kg	Two-level folly based upon chapel 2, side view 1
166	4576	1112	2736	224	504			24.01 kg	Twelve columns and horseshoe arches, view 1
167	4692	1105	2950	82	555			24.62 kg	Chapel 9, variation 2, view 1
168	4764	1008	3072		684			24.35 kg	Giant tetrahedron in the giant cube, view 1
169	4804	1250	3098	396	60			26.61 kg	Five rhombitruncated icosidodecahedra in two levels
170	4841	1092	3042	27	680			25.01 kg	Helix 3
171	5238	1200	3336	216	486			27.53 kg	The giant icosahedron to scale 7.60, view 1
172	5452	1245	3510	42	655			28.52 kg	The rhombicosidodecahedron to scale 3, view 1
173	5625	1465	3606	464	90			31.10 kg	Six rhombitruncated icosidodecahedra in three levels, oblique front view
174	5636	1378	3514		744			29.72 kg	Chapel 10, variation, view 1
175	6062	1679	3287	266	685	145		32.14 kg	Great Mosque 2, frontal view
176	6192	1495	3850	142	705			32.66 kg	Chapel 9, variation 1, view 1
177	6562	1384	4200		978			33.42 kg	Giant cube, view 1
178	6859	1595	4485	239	540			36.50 kg	The giant icosahedron, side view 1
179	7287	1702	5165	35	385			39.72 kg	Pseudogeodesic sphere to scale 3 on five supports: horizontal view
180	7440	1855	4475	355	755			39.42 kg	Chapel 9, view 1
181	7813	1779	5074		960			40.89 kg	Main dome of the Taj Mahal to scale 1:50, frontal view
182	8357	1790	5675	42	850			43.74 kg	The rhombicosidodecahedron to scale 4 (incomplete)
183	9627	2238	6237	366	786			51.09 kg	The giant dodecahedron (incomplete)
184	10033	2347	6454		1232			52.76 kg	Domes of the Taj Mahal to scale 1:50, view 1 (photomontage)
185	13390	3315	7938	20	2077	40		69.72 kg	Suleiman the Magnificent Mosque, view 1
	pieces	balls	rods	pentagons	squares	rhombuses	triangles	weights	titles