Skip to main content
Blender

Return to Answer

added 14 characters in body
Source Link
iKlsR
iKlsR
  • 43.7k
  • 12
  • 157
  • 190

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) L * sqrt(2) (basic pythagoras). The tangent of angle alpha will be L / (L * sqrt(2))L / (L * sqrt(2)) or 1 / sqrt(2) atan1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)(45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3)L * sqrt(3), Once again from pythagoras. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))C**3 / (3*sqrt(3))

enter image description here

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagoras). The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagoras. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))

enter image description here

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagoras). The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagoras. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))

enter image description here

wiki link, pythagorus > pythagoras
Source Link
p2or
p2or
  • 16.1k
  • 10
  • 87
  • 146

Mathematically

if you look at the Front OrthoFront Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagoruspythagoras) The. The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagoruspythagoras. IfIf the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))

enter image description here

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagorus) The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagorus. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))

enter image description here

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagoras). The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagoras. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))

enter image description here

deleted 1 character in body
Source Link
batFINGER
batFINGER
  • 85.2k
  • 10
  • 114
  • 244

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagorus) The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagorus. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestingly theInterestinglythe volume can be calculated fromusing C**3 / (3*sqrt(3))

The length of the enter image description here

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagorus) The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagorus. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestingly the volume can be calculated from

The length of the enter image description here

Mathematically

if you look at the Front Ortho of the image there is the triangle ABC. Length B is the side of the cube L, length A is the length of a faces diagonal L * sqrt(2) (basic pythagorus) The tangent of angle alpha will be L / (L * sqrt(2)) or 1 / sqrt(2) atan of which equates to 35.2644 degrees.

The rotation_euler XYZ (45, 35.264, 0)

The length of the longest diagonal C is L * sqrt(3), Once again from pythagorus. If the origin is in the middle of the cube translate the cube L * sqrt(3) / 2 to put it on its point.

Interestinglythe volume can be calculated using C**3 / (3*sqrt(3))

enter image description here

Source Link
batFINGER
batFINGER
  • 85.2k
  • 10
  • 114
  • 244