Calculo de Domo Geodesico

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VERTICES TOTAL ARISTAS CAR uniones base 10 A 30 AAB uniones pentagono 6B 35 BBB uniones hexagono 10 TOTAL 65 TOTAL ANGULO AXIAL DIAMETRO ALTURA A 15.86 6 3 30 B 18.00 10 RE-CALCULO DIAMETRO DIAMETRO ESPERADO ARISTA 4.855 A 1.326709667 B 1.500275917

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calculo domos excel

Transcript of Calculo de Domo Geodesico

2V L2 Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base10A30AAB3055.57, 55.57, 68.86uniones pentagono6B35BBB1060.00, 60.00, 60.00uniones hexagono10TOTAL65TOTAL40

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA15.866330AABTOTALA600.546531.6396B18.0010BBB120B600.618031.8541

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOARISTA4.855A1.3267096667B1.5002759167

3V 4 9 Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base15A30AAB3054.63, 54.63, 70.74uniones pentagono6B40BCC4558.59, 60.70, 60.70uniones hexagono25C50TOTAL75TOTAL46TOTAL120

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA10.0462.485130AABA60 0.348621.0459B11.6445BCCB750.403551.2107C11.90C900.412411.2372TOTAL VERTICES MADERA225

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOALTURAARISTA4.852.00887A0.8454358333B0.9786491667C1.00007

3V 5 9 Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base15A30AAB3054.63, 54.63, 70.74uniones pentagono6B55BCC7558.59, 60.70, 60.70uniones hexagono40C80TOTAL105TOTAL61TOTAL165

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA10.04635,62830AABA60 0.348621.0459B11.6475BCCB1050.403551.2107C11.90C1500.412411.2372TOTAL VERTICES MADERA315

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOALTURAARISTA4.852.87993A0.8454358333B0.9786491667C1.00007

4V Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base20A30AAC3054.34, 54.34, 71.32uniones pentagono6B60BBC3059.92, 59.92, 60.16uniones hexagono65C30BDE6057.52, 58.80, 63.68D30EEF3058.72, 58.72, 62.55E70FFF1060.00, 60.00, 60.00F30

TOTAL91TOTAL250TOTAL160

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA7.276330AACA600.253180.7595B8.4730BBCB120 0.294530.8836C8.4960BDEC600.295240.8857D8.5930EEFD600.298590.8958E9.0010FFFE120 0.312870.9386F9.35F600.324920.9748TOTAL VERTICES MADERA480

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOALTURAARISTA4.852.425A0.6139291667B0.7142433333C0.7159408333D0.724105E0.7587016667F0.7879633333

5V 7 15 Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base25A30AAD3054.19, 54.19, 71.61uniones pentagono6B60BBD3059.10, 59.10, 61.80uniones hexagono95C30BCG6056.13, 58.44, 65.43D30EEF2059.96, 59.96, 60.08E50EGH5058.37, 59.18, 62.45F10HHI2559.17, 59.17, 61.67G60III1060.00, 60.00, 60.00H50I30

TOTAL126TOTAL350TOTAL225

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA5.6962.6869AAD30A600.198150.5944B6.48BBD30B1200.225690.6771C6.65BCG60C600.231600.6948D6.66EEF20D600.231790.6954E7.04EGH50E900.245090.7353F7.05HHI25F200.245350.7361G7.10III10G1100.247240.7417H7.33H1000.255170.7655I7.52I550.255170.7848

TOTAL VERTICES MADERA675

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOALTURAARISTA104.478A0.9906666667B1.1285C1.158D1.159E1.2255F1.2268333333G1.2361666667H1.2758333333I1.308

5V 8 15 Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base25A30AAD3054.19, 54.19, 71.61uniones pentagono6B60BBD3059.10, 59.10, 61.80uniones hexagono120C30BCG6056.13, 58.44, 65.43D30EEF4059.96, 59.96, 60.08E80EGH7058.37, 59.18, 62.45F20HHI3559.17, 59.17, 61.67G70III1060.00, 60.00, 60.00H70I35

TOTAL151TOTAL425TOTAL275

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA5.6963.3338AAD30A600.198150.5944B6.48BBD30B1200.225690.6771C6.65BCG60C600.231600.6948D6.66EEF20D600.231790.6954E7.04EGH50E900.245090.7353F7.05HHI25F200.245350.7361G7.10III10G1100.247240.7417H7.33H1000.255170.7655I7.52I550.261600.7848

TOTAL VERTICES MADERA675

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOALTURAARISTA126.6672A1.1888B1.3542C1.3896D1.3908E1.4706F1.4722G1.4834H1.531I1.5696

6V Icosahedron Dome

VERTICESTOTALARISTASCARASANGULOS VERTICESuniones base30A30AAD3054.14, 54.14, 71.72uniones pentagono6B60BBD3058.42, 58.42, 63.15uniones hexagono160C30BCF6055.40, 58.00, 66.60D30EFG12057.95, 60.24, 61.81E60GGH6058.46, 58.46, 63.08F90HII6059.63, 60.18, 60.18G130H65I60

TOTAL196TOTAL555TOTAL360

ANGULO AXIALDIAMETROALTURACANTIDAD TRIANGULOSTOTAL VERTICES MADERACALCULO DE ARISTASTIPOTOTALFACTORLARGOA4.6663.0000AAD30A60 0.162570.4877B5.22BBD30B1200.181910.5457C5.38BCG60C600.187380.5621D5.47EEF20D600.190480.5714E5.68EGH50E900.198010.594F5.82HHI25F200.202820.6085G5.91III10G1100.205910.6177H6.18H1000.215350.6461I6.22I550.216630.6499

TOTAL VERTICES MADERA675

RE-CALCULO DIAMETRO

DIAMETRO ESPERADOALTURAARISTA126A0.9754B1.0914C1.1242D1.1428E1.188F1.217G1.2354H1.2922I1.2998

L4 Icosahedron Dome

CONECTORES VERTICE341RE-CALCULO DIAMETROFactor Largo Aristas40 x 4A0.41486 x 5DIAMETRO ESPERADOALTURAARISTAB0.4185295 x 6157.5A1.037C0.4293B1.04625D0.4329ARISTAS / FACTOR /ANGULO AXIAL980C1.07325E0.4332A x 120: 0.13828 (3.96)D1.08225F0.4708B x 120: 0.13951 (4.00)E1.083G0.474C x 120: 0.14310 (4.10)F1.177H0.4754D x 60: 0.14429 (4.14)G1.185I0.4834E x 60: 0.14439 (4.14)H1.1885J0.4865F x 140: 0.15692 (4.50)I1.2085K0.4868G x 60: 0.15800 (4.53)J1.21625L0.489H x 60: 0.15846 (4.54)K1.217M0.4934I x 60: 0.16115 (4.62)L1.2225N0.494J x 30: 0.16217 (4.65)M1.2335K x 30: 0.16228 (4.65)N1.235L x 60: 0.16300 (4.67)M x 30: 0.16448 (4.72)N x 30: 0.16465 (4.72)

TRIANGULOS / ANGULOS INTERNOSA-A-J x 30(54.10, 54.10, 71.80)A-B-I x 60(54.21, 54.90, 70.89)A-C-G x 60(54.41, 57.29, 68.29)A-D-F x 60(54.47, 58.12, 67.41)B-B-J x 30(54.45, 54.45, 71.09)B-C-F x 60(55.19, 57.38, 67.44)B-D-G x 60(54.74, 57.63, 67.64)C-C-K x 30(55.45, 55.45, 69.09)C-E-I x 60(55.54, 56.30, 68.16)E-E-K x 30(55.81, 55.81, 68.39)F-F-M x 30(58.38, 58.38, 63.23)F-H-L x 60(58.40, 59.36, 62.23)H-H-M x 30(58.74, 58.74, 62.52)L-L-N x 30(59.67, 59.67, 60.65)N-N-N x 10(60.00, 60.00, 60.00)

7V 10 21 Icosahedron

CONECTORES VERTICERE-CALCULO DIAMETROFactor Largo Aristas35 x 4A0.41326 x 5DIAMETRO ESPERADOALTURAARISTAB0.4559205 x 6125.5512A0.8264C0.4699B0.9118D0.4846ARISTAS / FACTOR /ANGULO AXIALC0.9398E0.4944A x 30: 0.13774 (3.95) D0.9692F0.512B x 60: 0.15197 (4.36) E0.9888G0.5129C x 30: 0.15664 (4.49) F1.0240H0.514D x 30: 0.16154 (4.63) G1.0258I0.5206E x 60: 0.16480 (4.73) H1.0280J0.5276F x 30: 0.17066 (4.90) I1.0412K0.5447G x 60: 0.17098 (4.90) J1.0552L0.5448H x 60: 0.17132 (4.91) K1.0894M0.5471I x 50: 0.17353 (4.98) L1.0896N0.5564J x 70: 0.17585 (5.04) M1.0942O0.5637K x 50: 0.18155 (5.21) N1.1128L x 30: 0.18161 (5.21) O1.1274M x 50: 0.18237 (5.23) N x 60: 0.18548 (5.32) O x 30: 0.18791 (5.39)

TRIANGULOS / ANGULOS INTERNOSA-A-D x 30 (54.10, 54.10, 71.81) B-B-D x 30 (57.91, 57.91, 64.18) B-C-H x 60 (55.01, 57.57, 67.41) E-F-J x 60 (56.76, 60.03, 63.21) E-G-H x 60 (57.56, 61.13, 61.31) G-G-L x 30 (57.93, 57.93, 64.15) I-I-J x 20 (59.54, 59.54, 60.92) I-J-M x 50 (57.89, 59.18, 62.93) K-K-L x 25 (59.98, 59.98, 60.04) K-M-N x 50 (59.11, 59.59, 61.29) N-N-O x 30 (59.57, 59.57, 60.86) O-O-O x 10 (60.00, 60.00, 60.00)

1V L1 Cuboctahedron Domevertices/connectors: 12CALCULADOR DIAMETRO 6RECALCULARDIAMETRO59 x 4-wayA2.2961A1.91341666673 x 6-wayB3.0000B2.5ALTURA2.4498ALTURA2.0415A x 12: 0.76537(22.50)B x 15: 1.00000(30.00)A-A-B x 12(49.21, 49.21, 81.57)B-B-B x 4(60.00, 60.00, 60.00)height: 0.817 or 40.83% of diameter

1V L1 3 8 Rhombicuboctahedronvertices/connectors: 17CALCULADOR DIAMETRO 6RECALCULARDIAMETRO513 x 4-wayA1.5712A1.30933333334 x 7-wayB2.1440B1.7866666667ALTURA1.9281ALTURA1.607edges/struts & bending angles (strut):A x 20: 0.52372(15.18)B x 20: 0.71481(20.94)total 40 struts (2 kinds)1)strut variance 36.5%faces: 24 (3-sided)A-A-B x 20(46.96, 46.96, 86.07)B-B-B x 4(60.00, 60.00, 60.00)2 kinds of faces2)diameter: 2.000, radius: 1.000height: 0.643 or 32.14% of diameter

1V L1 5 8 Rhombicuboctahedronvertices/connectors: 33CALCULADOR DIAMETRO 6RECALCULARDIAMETRO513 x 4-wayA1.5712A1.30933333338 x 5-wayB2.1444B1.78712 x 7-wayALTURA4.0726ALTURA3.394edges/struts & bending angles (strut):A x 52: 0.52372(15.18)B x 36: 0.71481(20.94)total 88 struts (2 kinds)1)strut variance 36.5%faces: 56 (3-sided)A-A-B x 52(46.96, 46.96, 86.07)B-B-B x 4(60.00, 60.00, 60.00)2 kinds of faces2)diameter: 2.000, radius: 1.000height: 1.358 or 67.88% of diameter

2V L2 Octahedron4 x 3-way CALCULADOR DIAMETRO 6RECALCULARDIAMETRO75 x 4-way A2.2961A2.67878333334 x 6-way B3.0000B3.5ALTURA3ALTURA3.5A x 16: 0.76537 (22.50) B x 12: 1.00000 (30.00) A-A-B x 12 (49.21, 49.21, 81.57) B-B-B x 4 (60.00, 60.00, 60.00)

3V Octahedronvertices/connectors: 254 x 3-wayCALCULADOR DIAMETRO 6RECALCULARDIAMETRO49 x 4-wayA1.3785A0.91912 x 6-wayB1.8974B1.2649333333C2.0143C1.3428666667ALTURA3ALTURA2A x 16: 0.45951 (13.28) B x 20: 0.63246 (18.44) C x 24: 0.67142 (19.62)A-A-B x 12 (46.51, 46.51, 86.98) B-C-C x 24 (56.20, 61.90, 61.90)

4V Octahedron

CALCULADOR DIAMETRO 6RECALCULARDIAMETRO8A0.9611A1.28146666674 x 3-way B1.3166B1.755466666713 x 4-way C1.3416C1.788824 x 6-wayD1.3785D1.838E1.5529E2.0705333333F1.7321F2.3094666667A x 16: 0.32036 (9.22) Altura3.0000Altura4B x 24: 0.43887 (12.68) C x 12: 0.44721 (12.92) D x 16: 0.45951 (13.28) E x 24: 0.51764 (15.00) F x 12: 0.57735 (16.78)A-A-C x 12 (45.74, 45.74, 88.51) B-B-C x 12 (59.37, 59.37, 61.26) B-D-E x 24 (52.98, 56.71, 70.32) E-E-F x 12 (56.10, 56.10, 67.80) F-F-F x 4 (60.00, 60.00, 60.00)

L3 5 8 Octahedron

CALCULADOR DIAMETRO 6RECALCULARDIAMETRO8A1.1705A1.560666666713 x 4-wayB1.2687B1.69164 x 5-wayC1.5529C2.070533333336 x 6-wayD1.6236D2.1648E1.7321E2.3094666667

A x 36: 0.39018 (11.25) Altura4.2247Altura5.6328B x 40: 0.42291 (12.21) C x 32: 0.51764 (15.00) D x 20: 0.54120 (15.70) E x 16: 0.57735 (16.78)

A-A-D x 20 (46.09, 46.09, 87.81) A-B-C x 32 (47.72, 53.31, 78.96) B-B-D x 20 (50.22, 50.22, 79.56) C-C-E x 16 (56.10, 56.10, 67.80) E-E-E x 4 (60.00, 60.00, 60.00)

1V L1 3 8 Rhombicubocta

13 x 4-wayCALCULADOR DIAMETRO 6RECALCULARDIAMETRO84 x 7-wayA1.5712A2.0949333333B2.1444B2.8592

A x 20: 0.52372 (15.18) B x 20: 0.71481 (20.94) Altura1.9281Altura2.5712

A-A-B x 20 (46.96, 46.96, 86.07) B-B-B x 4 (60.00, 60.00, 60.00)

2V L2 3 8 Rhombicubocta

21 x 4-way CALCULADOR DIAMETRO 6RECALCULARDIAMETRO1032 x 6-way A0.7925A1.32083333334 x 7-way B0.8216B1.3693333333C1.0904C1.8173333333A x 40: 0.26418 (7.59) D1.1110D1.8516666667B x 40: 0.27386 (7.87) E1.1480E1.9133333333C x 40: 0.36346 (10.47) D x 20: 0.37033 (10.67) Altura1.9281Altura3.214E x 12: 0.38268 (11.03)

A-A-D x 20 (45.51, 45.51, 88.98) A-B-C x 40 (46.39, 48.64, 84.97) B-B-D x 20 (47.47, 47.47, 85.06) C-C-E x 12 (58.24, 58.24, 63.53) E-E-E x 4 (60.00, 60.00, 60.00)