Spherical/Euclidean/hyperbolic(compact/paracompact/noncompact) honeycombs with their Schläfli symbol {p,q,r,s}
q \ s 3 4 5
3
q=3, s=3
p \ r 3 4 5
3
{3,3,3,3}

spherical


{3,3,4,3}

Euclidean


{3,3,5,3}

noncompact

4
{4,3,3,3}

spherical


{4,3,4,3}

paracompact


{4,3,5,3}

noncompact

5
{5,3,3,3}

compact


{5,3,4,3}

noncompact


{5,3,5,3}

noncompact

q=3, s=4
p \ r 3 4 5
3
{3,3,3,4}

spherical


{3,3,4,4}

noncompact


{3,3,5,4}

noncompact

4
{4,3,3,4}

Euclidean


{4,3,4,4}

noncompact


{4,3,5,4}

noncompact

5
{5,3,3,4}

compact


{5,3,4,4}

noncompact


{5,3,5,4}

noncompact

q=3, s=5
p \ r 3 4 5
3
{3,3,3,5}

compact


{3,3,4,5}

noncompact


{3,3,5,5}

noncompact

4
{4,3,3,5}

compact


{4,3,4,5}

noncompact


{4,3,5,5}

noncompact

5
{5,3,3,5}

compact


{5,3,4,5}

noncompact


{5,3,5,5}

noncompact

4
q=4, s=3
p \ r 3 4 5
3
{3,4,3,3}

Euclidean


{3,4,4,3}

noncompact


{3,4,5,3}

noncompact

4
{4,4,3,3}

noncompact


{4,3,4,3}

noncompact


{4,3,5,3}

noncompact

5
{5,4,3,3}

noncompact


{5,4,4,3}

noncompact


{5,4,5,3}

noncompact

q=4, s=4
p \ r 3 4 5
3
{3,4,3,4}

paracompact


{3,4,4,4}

noncompact


{3,4,5,4}

noncompact

4
{4,4,3,4}

noncompact


{4,4,4,4}

noncompact


{4,4,5,4}

noncompact

5
{5,4,3,4}

noncompact


{5,4,4,4}

noncompact


{5,4,5,4}

noncompact

q=4, s=5
p \ r 3 4 5
3
{3,4,3,5}

noncompact


{3,4,4,5}

noncompact


{3,4,5,5}

noncompact

4
{4,4,3,5}

noncompact


{4,4,4,5}

noncompact


{4,4,5,5}

noncompact

5
{5,4,3,5}

noncompact


{5,4,4,5}

noncompact


{5,4,5,5}

noncompact

5
q=5, s=3
p \ r 3 4 5
3
{3,5,3,3}

noncompact


{3,5,4,3}

noncompact


{3,5,5,3}

noncompact

4
{4,5,3,3}

noncompact


{4,5,4,3}

noncompact


{4,5,5,3}

noncompact

5
{5,5,3,3}

noncompact


{5,5,4,3}

noncompact


{5,5,5,3}

noncompact

q=5, s=4
p \ r 3 4 5
3
{3,5,3,4}

noncompact


{3,5,4,4}

noncompact


{3,5,5,4}

noncompact

4
{4,5,3,4}

noncompact


{4,5,4,4}

noncompact


{4,5,5,4}

noncompact

5
{5,5,3,4}

noncompact


{5,5,4,4}

noncompact


{5,5,5,4}

noncompact

q=5, s=5
p \ r 3 4 5
3
{3,5,3,5}

noncompact


{3,5,4,5}

noncompact


{3,5,5,5}

noncompact

4
{4,5,3,5}

noncompact


{4,5,4,5}

noncompact


{4,5,5,5}

noncompact

5
{5,5,3,5}

noncompact


{5,5,4,5}

noncompact


{5,5,5,5}

noncompact