Lego Eiffel Tower 10307 perfect angles calculation

[Nachapon Lego]

1st floor Key stud dimensions for calculationd are 29 ,13.5 and 2 studs

Perfect angles 

62.256297841512286683195248861794°  =  sec⁻¹ (29/13.5)

60.793325041951264122289443433924°  =  sec⁻¹  ( ( ( sin (sec⁻¹ (29/13.5)) x 29)+2) /13.5)

 

2nd floor angles,

77.160411593095850352653417366957°  =  sec−1 (27/6)

77.770512059288018315425873633986°  =  sec−1  ( ( ( sin (sec−1 (27/6)) x 27)+2) /6)

 

3rd floor angles

The 3rd floor needs five angles to build.

core A = 85.903956241847667287495020891927° =  sec⁻¹ (21/1.5)

core B = 86.251911137732266086238904901202° =  sec⁻¹  ( ( ( sin (sec⁻¹ (21/1.5)) x 21)+2) /1.5)

inside 4.857904355480854939389449874906° = (tan-1 0.5/29.5)+  ( csc-1 ((√(29.5^2+0.5^2))/2))

outside A 7.3870484363016908133671099192455° = csc-1 (35/4.5)

outside B 6.8009857952959890185875775019544° = csc-1 (38/4.5)

 

4th floor

87.203974303708003713137952327406° =  sec⁻¹ (41/2)

87.331086547204034611912917581703° = sec⁻¹  ( ( ( sin (sec⁻¹ (41/2)) x 41)+2) /2)

 

 

 

 

Edited December 25, 2022 by Nachapon Lego

[aussie_huddo]

Any idea how to get part 79987 in Studio?

 

Nevermind found the solution: https://github.com/Cheenzo/StudioParts

Edited November 29, 2022 by aussie_huddo
solved

[Nachapon Lego]

1 hour ago, aussie_huddo said:

Any idea how to get part 79987 in Studio?

 

Nevermind found the solution: https://github.com/Cheenzo/StudioParts

Use Studio part designer to merge parts into a new one.

 

V2 video and angle values added to 1st post.

Edited November 29, 2022 by Nachapon Lego

[Nachapon Lego]

Mecabricks 10307 by Stephan3321.

Unreal engine 5.1 path tracing renders.

 

 

 

 

 

 

Edited December 1, 2022 by Nachapon Lego

[jester]

Thank you so much for the calculations! 

[Stephan]

I did it by trial and error this time and had to re-do the lower legs 3 times because I messed up the dimensions of the inner/upper connections...

[Nachapon Lego]

On 11/30/2022 at 5:12 PM, jester said:

Thank you so much for the calculations! 

You are welcome!

I didn’t have time to complete the LDD eiffel tower yet. So, I calculate the 2nd floor angles using Stephan ‘s mecabricks model. Hope they are correct, look fine but didn’t test in a digital build yet. The angles of the 3rd floor seem the most tricky. I will try to calculate them later. More angles were added to the first post.
 

 

On 11/30/2022 at 6:42 PM, Stephan said:

I did it by trial and error this time and had to re-do the lower legs 3 times because I messed up the dimensions of the inner/upper connections...

You did an awesome job as always man! It needs big skills to complete this model.

In the first place, I tried to do it by trial and error too. But it is very difficult to do it with LDD. Because the physic test off in LDD does not disable collision completely.

 

Edited December 1, 2022 by Nachapon Lego

[Stephan]

47 minutes ago, Nachapon Lego said:

You did an awesome job as always man! It needs big skills to complete this model.

In the first place, I tried to do it by trial and error too. But it is very difficult to do it with LDD. Because the physic test off in LDD does not disable collision completely.

Thanks! I actually did not disable physics/colissions. I had to update some colissions since the underside of plates is often used by a corner of another piece.

[Nachapon Lego]

1st and 2nd floors calculation method.

 

 

[jester]

Something strange
Started to build 3rd section and inside calculations doesn't match

[Nachapon Lego]

4 hours ago, jester said:

Something strange
Started to build 3rd section and inside calculations doesn't match

 

I an glad you build it! I will check soon and add angles for 4th floor. But your screen looks like outside to me. Could you try to swith to other angles of 3rd floor?

Edited December 2, 2022 by Nachapon Lego

[jester]

50 minutes ago, Nachapon Lego said:

I an glad you build it! I will check soon and add angles for 4th floor. But your screen looks like outside to me. Could you try to swith to other angles of 3rd floor?

 

Edited December 2, 2022 by jester

[Nachapon Lego]

2 hours ago, jester said:

I missed that hidden one and didn't calculate it yet. I will try to calculate it soon.

Edited December 2, 2022 by Nachapon Lego

[Nachapon Lego]

6 hours ago, jester said:

Something strange
Started to build 3rd section and inside calculations doesn't match
 

The 3rd floor needs five angles to build.

core A = 85.903956241847667287495020891927 =  sec⁻¹ (21/1.5)

core B = 86.251911137732266086238904901202 =  sec⁻¹  ( ( ( sin (sec⁻¹ (21/1.5)) x 21)+2) /1.5)

inside 4.857904355480854939389449874906 = (tan-1 0.5/29.5)+  ( csc-1 ((√(29.5^2+0.5^2))/2))

outside A 7.3870484363016908133671099192455 = csc-1 (35/4.5)

outside B 6.8009857952959890185875775019544 = csc-1 (38/4.5)

 

4th floor

87.203974303708003713137952327406 =  sec⁻¹ (41/2)

87.331086547204034611912917581703 = sec⁻¹  ( ( ( sin (sec⁻¹ (41/2)) x 41)+2) /2)

 

Edited December 2, 2022 by Nachapon Lego

[jester]

3 hours ago, Nachapon Lego said:

The 3rd floor needs five angles to build.

core A = 85.903956241847667287495020891927 =  sec⁻¹ (21/1.5)

core B = 86.251911137732266086238904901202 =  sec⁻¹  ( ( ( sin (sec⁻¹ (21/1.5)) x 21)+2) /1.5)

inside 4.857904355480854939389449874906 = (tan-1 0.5/29.5)+  ( csc-1 ((√(29.5^2+0.5^2))/2))

outside A 7.3870484363016908133671099192455 = csc-1 (35/4.5)

outside B 6.8009857952959890185875775019544 = csc-1 (38/4.5)

 

4th floor

87.203974303708003713137952327406 =  sec⁻¹ (41/2)

87.331086547204034611912917581703 = sec⁻¹  ( ( ( sin (sec⁻¹ (41/2)) x 41)+2) /2)

 

Thanks a lot!

[jxu]

Trig... how many decimal places are needed to build in reality (up to the manufacturing tolerance of actual pieces)?

[Nachapon Lego]

8K render