Golden Ratio and Fibonacci's Sequence

thingiverse

The project aims to materialize the concept of the Golden Ratio and to enable the student to understand building it step by step. Print Settings Printer Brand: RepRap Printer: prusa i3 Rafts: Doesn't Matter Supports: Doesn't Matter Resolution: 0,2mm Infill: 10% Post-Printing Printing with white plastic allow students to paint each block with the colour they prefer How I Designed This Every piece of this model was made from a simple sketch in 123D Design. Starting with a square of side 1 cm , it has been developed the arc inscribed in the square . Extruding shapes obtained with two different heights ( 2mm square and bow 10mm ) it has gotten to form the basis of 1cm x 1cm x 1cm . Starting from it , following the Fibonacci sequence ( 1,1,2,3,5,8 ... ) , it has been scaled the length of the sides of the square leaving the height unchanged . Finally, it was etched in bas-relief the length of the side of each module Project: Golden Ratio and Fibonacci Sequence Students building the Golden Rectangle can make contact with the proportion of the Golden Ratio and the relationship that the Fibonacci 's sequence has with it he steps are simple , once printed forms they will assembled to reconstruct the geometry of the Golden Section , or by following the Fibonacci 's Sequence Steps 1: drawing the sketch From sketch menu, select rectangle and build a square of 10mm lenght, then select two arc point sketch and draw the arc inscribed in the square. Step 2 - Extrude Extruding shapes obtained with two different heights ( 2mm square and bow 10mm ) it has gotten to form the basis of 1cm x 1cm x 1cm Step 3 - Add fillet Block looks better using Fillet. Select rounded corner and open Fillet option from "Gear icon" Set Fillet Radius with the value you want ( My value is 2 ) Step 4 - duplicate and scale blocks We need that blocks: 2x 10mm 1x 20mm 1x 30mm 1x 50mm 1x 80mm Duplicate first block and rotate 90degrees counterclockwise Duplicate first block, scale to 20mm x 20mm and rotate 90 degrees clockwise And so on. Due to most common heatbed dimension i prefer to stop at 80mm block, in this way the printing area needed is around 140mm x 90mm x 10mm Step 5 - Optional Students can stamp the lenght of each block on the top side using text feature, select sketch desired and type the right number on it. Then extrude down on the block, it will be subtracted from the solid. Results Students will have a three-dimensional memory of abstract concept as the Golden Ratio and Fibonacci's Sequence.