WOLFRAM|DEMONSTRATIONS PROJECT

Determining a House-Like Solid from Three Orthogonal Projections

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push solid
x
y
z
(To form your own solid, set g to 0.)
preset solid g
11
cube height
cap
a
0
1
2
3
1
2
3
4
5
b
0
1
2
3
1
2
3
4
5
c
0
1
2
3
1
2
3
4
5
d
0
1
2
3
1
2
3
4
5
e
0
1
2
3
1
2
3
4
5
f
0
1
2
3
1
2
3
4
5
g
0
1
2
3
1
2
3
4
5
h
0
1
2
3
1
2
3
4
5
i
0
1
2
3
1
2
3
4
5
j
0
1
2
3
1
2
3
4
5
k
0
1
2
3
1
2
3
4
5
l
0
1
2
3
1
2
3
4
5
solid
projection lines
Part
:Part 7 of {{8.5,8.5,8.5},{4.5,4.5,4.5},{2.5,2.5,2.5},{6.5,6.5,6.5}} does not exist.
Part
:Part 7 of {{8.5,8.5,8.5},{4.5,4.5,4.5},{2.5,2.5,2.5},{6.5,6.5,6.5}} does not exist.
Part
:Part 5 of {{8.5,8.5,8.5},{4.5,4.5,4.5},{2.5,2.5,2.5},{6.5,6.5,6.5}} does not exist.
General
:Further output of Part::partw will be suppressed during this calculation.
Part
:Part 7 of {{8.5,8.5,8.5},{4.5,4.5,4.5},{2.5,2.5,2.5},{6.5,6.5,6.5}} does not exist.
Part
:Part 7 of {{8.5,8.5,8.5},{4.5,4.5,4.5},{2.5,2.5,2.5},{6.5,6.5,6.5}} does not exist.
Part
:Part 5 of {{8.5,8.5,8.5},{4.5,4.5,4.5},{2.5,2.5,2.5},{6.5,6.5,6.5}} does not exist.
General
:Further output of Part::partw will be suppressed during this calculation.
Visualizing an object given by three orthogonal projections is an important ability in many professions. To build this skill, constructions of cubes and halves of cubes provide a large number of exercises. Models of objects can be built using kindergarten sets of wood or plastic blocks. This Demonstration shows a 3×4 grid of columns of cubes with optional caps at the tops of columns. Given three projections, the solid is not necessarily unique.