Geodesic DWG Block for AutoCAD

Geodesic DWG Block for AutoCAD

Trace of geodesic of icosaedro in frecuency 3

Drawing labels, details, and other text information extracted from the CAD file (Translated from Spanish):

Icosahedron face, Heights of the equilateral triangle, Center of the triangle, Perpendicular heights, Frequency of the geodesic dome, Characteristics: The frequency is equal to the number of divitions performed on one side of the triangle heights are used for the plotting of the frequency but can also be directly directly divided into either side., Frequency trace, Icosahedron geodesic frequency three, Development: from the center of the projected segments oe os on the spherical triangle obtaining the points e ‘s’ that determine the knots of the gemento oe ‘os’ have the same radius of the sphere that contains the icosahedron to graph the geodesic Only the s’ points are joined., Development of geodesics, Icosahedron center, Ecuador, Icosahedron, pole, Base triangle, Spherical triangle, Projection oe on the spherical triangle, angle, Bar e’s, Knot is, Radio or, Radio oe ‘, bars, Knots, Faces, pole, pole, Icosahedron center, Icosahedron geodesic frequency three, Development: to realize the truncation of the diameter is sought the nearest knot this the fraction is equivalent of the diameter in the specific case of this geodesic the correct value comes to be, Truncation of geodesic, Icosahedron geodesic frequency three, To realize the calculation of the radius of the circumference that circumscribes the geodesic with reference a circle of radius of his the relation for this specific case is:, Relation of the geodesic with its base, Base circle, Ecuador, pole, Icosahedron geodesic frequency three, bar, Agulo, coefficient, Ae, Ee, is’, Development: at this point we only have to manually measure the angles that form each of the bars to perform the calculation also measure the length of the bars to check the mathematical calculation., Calculation of the constant, Icosahedron geodesic frequency three, angle, Bar ae ‘, Segment or equal to radius, knot, Of the formula: ae ‘where: length of the bar. Radius of the sphere containing the geodesic. Angle formed by aoe ‘. The coefficient is given as: replacing: resulting: ae ‘kr ae’ ae ‘the coefficient is used for the calculation of the length of the bar ae’ inscribed in a circle of any the same prosedimiento will be followed in the other geodesics., Finished model, Icosahedron geodesic frequency three, elevation, top view

Raw text data extracted from CAD file:

CARA DEL ICOSAEDRO ALTURAS DEL TRIANGULO EQUILATERO CENTRO DEL TRIANGULO PERPENDICULARES A LAS ALTURAS a a a s a a a s e e e aa/3 aa/3 aa/3 e a a a s e e e aa/3 aa/3 aa/3 e e e FRECUENCIA DEL DOMO GEODESICO CARACTERISTICAS: LA FRECUENCIA "n" ES IGUAL AL NUMERO DE DIVICIONES QUE SE REALIZA EN UN LADO DEL TRIANGULO, LAS ALTURAS DEL TRIANGULO SE UTILIZAN PARA EL TRAZADO DE LA FRECUENCIA PERO TAMBIEN SE PUEDE DIVIDIR DIRECTAMENTE DIRECTAMENTE EN CUALQUIERA DE LOS LADOS. TRAZO DE LA FRECUENCIA GEODESICA DE ICOSAEDRO FRECUENCIA TRES aa/3 aa/3 aa/3 aa/3 aa/3 aa/3 DESARROLLO: DESDE EL CENTRO DEL ICOSAEDRO(o) SE PROYECTAN LOS SEGMENTOS oe Y os SOBRE EL TRIANGULO ESFERICO OBTENIENDO LOS PUNTOS e' Y s' QUE DETERMINAN LOS NUDOS DE LA GEODESICA, EL GEMENTO oe' Y os' TIENEN EL MISMO RADIO DE LA ESFERA QUE CONTIENE EL ICOSAEDRO (10 UNIDADES), PARA GRAFICAR LA GEODESICA SOLO SE UNEN LOS PUNTOS a, e', Y s'. DESARROLLO DE LA GEODESICA a a a o s e e e e e e a a e' e s' o a e' e' e' e e e e e s e' e' CENTRO DEL ICOSAEDRO ECUADOR ICOSAEDRO POLO TRIANGULO BASE TRIANGULO BASE TRIANGULO ESFERICO PROYECCION oe SOBRE EL TRIANGULO ESFERICO ANGULO \U+03B1 BARRA e's' NUDO e' RADIO oa RADIO oe' a e' s' a a e' e' e' e' e' BARRAS NUDOS CARAS POLO o POLO CENTRO DEL ICOSAEDRO CENTRO DEL ICOSAEDRO GEODESICA DE ICOSAEDRO FRECUENCIA TRES DESARROLLO: PARA REALIZAR LA TRUNCACION A 3/4 DEL DIAMETRO SE BUSCA EL NUDO MAS PROXIMO A ESTE VALOR, LA FRACCIÓN 3/4 EQUIVALE A 0.75 DEL DIAMETRO EN EL CASO ESPECIFICO DE ESTA GEODESICA EL VALOR CORRECTO VIENE A SER 0.75746. TRUNCACIÓN DE LA GEODESICA A 3/4 GEODESICA DE ICOSAEDRO FRECUENCIA TRES r 3/4 d r o R c PARA REALIZAR EL CALCULO DEL RADIO "r" DE LA CIRCUNFERENCIA QUE CIRCUNSCRIBE A LA GEODESICA CON REFERENCIA A UN CIRCULO DE RADIO "R" DE SU BASE, LA RELACION PARA ESTE CASO ESPECIFICO ES: \W3.80952; r = 1.16654R RELACION DE LA GEODESICA CON SU BASE CIRCULO BASE ECUADOR POLO 20,0768° 23,2814° 23,8002° 4,0355 3,4862 4,1241 10 GEODESICA DE ICOSAEDRO FRECUENCIA TRES BARRA AGULO COEFICIENTE k ae' 20.0768º 0.34861664 e'e' 23.2814º 0.40354742 e's' 23.8002º 0.41241178 r 3/4 d DESARROLLO: EN ESTE PUNTO SOLO NOS RESTA MEDIR EN FORMA MANUAL LOS ANGULOS QUE FORMAN CADA UNA DE LAS BARRAS PARA REALIZAR EL CALCULO RESPECTIVO, TAMBIEN MEDIMOS LA LONGITUD DE LAS BARRAS PARA CONPROBAR EL CALCULO MATEMATICO. CALCULO DE LA CONSTANTE "k" GEODESICA DE ICOSAEDRO FRECUENCIA TRES e' e' a s' a e' e' a e' e' o ANGULO \U+03B1 BARRA ae' SEGMENTO oa IGUAL AL RADIO NUDO o a e' \U+03B1 = 20.0768º DE LA FORMULA: \W3.80952; ae' = 2r Sen(\U+03B1/2) DONDE: \W3.80952; ae'= longitud de la barra. \W3.80952; r = radio de la esfera que contiene a la geodesica. \W3.80952; \U+03B1 = angulo formado por aoe'. SE DESPRENDE EL COEFICIENTE "k" COMO: \W3.80952; k = 2Sen(\U+03B1/2) reemplazando: \W3.80952; k = 2Sen(20.0768º/2) \W3.80952; k = 0.3486164 RESULTANDO: \W3.80952; ae' = kr \W3.80952; ae' = 0.3486164(10) \W3.80952; ae' = 3.486164. EL COEFICIENTE k SE UTILIZA PARA EL CALCULO DE LA LONJITUD DE LA BARRA ae' INSCRITA EN UNA CIRCUFERENCIA DE CUALQUIER RADIO, EL MISMO PROSEDIMIENTO SE SEGUIRA EN LAS DEMAS GEODESICAS. r=10 5 5 5 5 5 5 5 MODELO TERMINADO GEODESICA DE ICOSAEDRO FRECUENCIA TRES ELEVACION VISTA SUPERIOR

Language	Spanish
Drawing Type	Block
Category	Drawing with Autocad
Additional Screenshots
File Type	dwg
Materials	Other
Measurement Units
Footprint Area
Building Features	Car Parking Lot
Tags	autocad, block, DWG, geodesic, trace