PLAYGROUND INTERNATIONAL

[Stringart Practice]  So Let’s start make a heart pattern with stringart. Please print ‘Attach.1 how to make heart by sequence’. It includes 20cm x 20cm heart digital pattern for print on a paper so please prepare followings. [Preparation] 20cm x 20cm wood panel 60+ nails 1 thread Scissors Latex Glue ​ [Step 1] Print this PDF book on A4 size paper. Cut along the square on this page. Put the pattern on a string art board. [Step 2] Secure the pattern with sticky tape as marked by dashed line. Nail into 60 points on the paper pattern. Tear the paper pattern except for the numbers from 1 to 60 on wood panel. [Step 3] The above sequence lists the points represented by A’ and A’’ in order. In last lesson about GeoGebra simulation, it was said that the heart pattern was created by the trajectory of A'-A''(= segment f) when A', A'' and f are defined as following. -  A’=Rotate(A, 6 ºa) -  A”=Rotate(A, 12 ºa) - f = segment (A', A'') In actual string art, we f...

  [PART 2 PRACTICE] 1. Geogebra simulation [Pattern specification] Wood Panel Size: 20cm x 20cm Circle Size: 15cm x 15cm No. of Nail holes: 60 As there are 60 nail holes around the circle, 360º of the circle is divided by 60 and the part occupied by arc 12 is 360 º /60 = 6 º . And this heart pattern is trace of the line segment A’-A”. A’ and A’’ are variables since a is changed from 0 to 60. (60 is the number of the points marked as nail holes.) A’ is the point rotated from A by [6 x a ] º and  A’’ is the point rotated from A by [12 x a] º . This rule can be explained and shown easily using Geogebra. First of all, we will input the function of circle. As this heart pattern is not related to the radius of circle but related to the angle rotated, any number can be input as radius of circle. We input 5 as radius of circle in this simulation. ​ [GEOGEBRA INPUT] 1. Let's input functuin of Circle : X^2 + Y^2 = 5^2 = 25 ( function of circle is X2 + Y2 = r2 where r is radius.) 2....

  3. Geogebra Simulation  vs Real String Art GeoGebra can calculate and predict geometric patterns, but it is not easy to perfectly simulate real string art. This is because, unlike simulations, in actual string art, there are (1) the direction in which the threads are weaved around the nail and (2) the order in which the threads are stacked from the bottom to the top of the nail. Let's go through them one by one below. 1. Directionality Even we can calculate and predict the geometry pattern with Geogebra, it is not easy to simulate REAL STRING ART perfectly. Because in the actual string art, directionality occurs around the nail. In other words, there is only one line segment generated between 2 points based on the theory of mathematics as below. ​ [Only one line segment in String Art Simulation] However, in real string art, we have two choices – the one is weaving thread from left to right and the other is weaving thread from right to left. There are two cases to be compared...

2. WHAT is ‘GEOGEBRA’? ‘GEOGEBRA’ is an  interactive geometry ,  algebra ,  statistics  and  calculus  application, intended for learning and  teaching mathematics  and science from primary school to university level. GeoGebra is available on  multiple platforms  with its desktop applications for  Windows ,  macOS  and  Linux , with its tablet apps for  Android ,  iPad  and  Windows , and with its  web application  based on  HTML5  technology. It means we can use Geogebra anytime, anywhere if we have electronic device to install it. It is widely used all over the world due to its easy accessibility. There are so many kind of Geogebra calculators in its website. First, we will start with the ‘GeoGebra Classic 6’.         1. How to download ▶ STEP 1 Go to website of ‘Geogebra’ and set your language. (We will use English version in this Basic Course.)   ht...