12 Sided Polygon

12 Sided Polygon Rafter Table ( 12 - gon )

central angle = 30°
working angle = 15°
plan angle = 75°
miter angle = 3.22 & 12 (15.00°)
hip run per foot = 12.42
apothem multiplier = 1.03528
side wall multiplier = 0.53590

Pitch	Roof Angles		Frieze Block Angles		Hip Rafters					Jack Rafters
Pitch	Roof Pitch Angle	Hip Pitch Angle	Angle	Saw Bevel	Side Cut Angle	Backing Angle	Hip Drop 2x	Hip Drop 4x	Length Per-FT	Side Cut Angle	First 12” O.C.	First 16” O.C.	First 24” O.C.	Spaced 12” O.C.	Spaced 16” O.C.	Spaced 24” O.C.	Multiplier
0	0.00	0.00	0	15	15.00	0.00	0.00	0.00	12.42	15	47.48	62.41	92.27	44.78	59.71	89.57	3.73205
1	4.76	4.60	1.27	14.95	14.95	1.23	0.02	0.04	12.46	14.95	47.65	62.63	92.59	44.94	59.92	89.88	3.74499
2	9.46	9.15	2.52	14.79	14.82	2.44	0.03	0.08	12.58	14.80	48.14	63.27	93.54	45.40	60.54	90.80	3.78353
3	14.04	13.58	3.72	14.54	14.60	3.60	0.05	0.11	12.78	14.57	48.95	64.33	95.11	46.16	61.55	92.33	3.84691
4	18.43	17.85	4.84	14.21	14.31	4.69	0.06	0.15	13.05	14.26	50.05	65.79	97.26	47.21	62.94	94.41	3.93393
5	22.62	21.92	5.88	13.82	13.96	5.71	0.08	0.19	13.39	13.89	51.44	67.61	99.96	48.52	64.69	97.03	4.04306
6	26.57	25.78	6.83	13.39	13.57	6.65	0.10	0.23	13.80	13.48	53.09	69.78	103.16	50.07	66.76	100.14	4.17256
7	30.26	29.40	7.69	12.92	13.14	7.49	0.11	0.26	14.26	13.03	54.97	72.26	106.82	51.85	69.13	103.69	4.32061
8	33.69	32.78	8.45	12.44	12.70	8.25	0.13	0.30	14.78	12.57	57.07	75.01	110.89	53.82	71.77	107.65	4.48537
9	36.87	35.92	9.13	11.95	12.24	8.93	0.15	0.34	15.34	12.10	59.36	78.02	115.34	55.98	74.64	111.96	4.66506
10	39.81	38.83	9.73	11.47	11.79	9.54	0.16	0.38	15.95	11.63	61.81	81.24	120.11	58.30	77.73	116.59	4.85804
11	42.51	41.52	10.26	11.00	11.34	10.07	0.18	0.42	16.59	11.17	64.42	84.67	125.17	60.75	81.00	121.51	5.06278
12	45.00	44.01	10.73	10.55	10.91	10.55	0.19	0.45	17.27	10.73	67.15	88.27	130.49	63.34	84.45	126.67	5.27792
13	47.29	46.30	11.14	10.11	10.49	10.96	0.21	0.49	17.98	10.30	70.01	92.02	136.03	66.03	88.04	132.05	5.50223
14	49.40	48.41	11.50	9.70	10.08	11.33	0.23	0.53	18.72	9.89	72.96	95.90	141.78	68.82	91.75	137.63	5.73463
15	51.34	50.37	11.82	9.30	9.70	11.66	0.24	0.57	19.48	9.50	76.01	99.91	147.70	71.69	95.59	143.38	5.97420
16	53.13	52.17	12.10	8.93	9.33	11.95	0.26	0.60	20.26	9.13	79.14	104.02	153.78	74.64	99.52	149.28	6.22008
17	54.78	53.84	12.35	8.58	8.98	12.21	0.27	0.64	21.06	8.78	82.34	108.23	160.00	77.66	103.55	155.32	6.47158
18	56.31	55.39	12.57	8.25	8.65	12.44	0.29	0.68	21.87	8.45	85.60	112.52	166.34	80.74	107.65	161.47	6.72805
19	57.72	56.82	12.76	7.94	8.34	12.64	0.31	0.72	22.70	8.14	88.92	116.88	172.79	83.87	111.82	167.73	6.98895
20	59.04	58.15	12.94	7.65	8.05	12.82	0.32	0.75	23.54	7.85	92.29	121.31	179.34	87.05	116.06	174.09	7.25380
21	60.26	59.39	13.10	7.38	7.77	12.99	0.34	0.79	24.40	7.57	95.71	125.80	185.98	90.27	120.36	180.53	7.52219
22	61.39	60.55	13.24	7.12	7.51	13.13	0.36	0.83	25.27	7.31	99.16	130.34	192.69	93.52	124.70	187.05	7.79374
23	62.45	61.62	13.36	6.88	7.26	13.27	0.37	0.87	26.14	7.07	102.66	134.93	199.47	96.82	129.09	193.64	8.06815
24	63.43	62.63	13.48	6.65	7.02	13.39	0.39	0.91	27.02	6.83	106.18	139.56	206.32	100.14	133.52	200.28	8.34512

Framing Square usage Example: 8:12 Pitch
(Rafter Length Per Ft = 14.42) (Hip Rafter Length Per Ft = 14.78)
SS Angle = Speed Square Angle
Saw Angle produces compound Speed Square Angle

Tongue (8.00) Blade (12.00) for Rafter Plumb Cut Angle (SS Angle 33.69)
Tongue (12.00) Blade (8.00) for Rafter Level Cut Angle (SS Angle 56.31)

Tongue (8.00) Blade (12.42) for Hip Rafter Plumb Cut Angle (SS Angle 32.78)
Tongue (12.42) Blade (8.00) for Hip Rafter Level Cut Angle (SS Angle 57.22)

Tongue (3.33) Blade (14.78) for Hip Side Cut Angle (SS Angle 12.70) (Saw Angle 75.00)
Tongue (2.14) Blade (14.78) for Hip Backing Angle (SS Angle 8.25)

Tongue (3.22) Blade (14.42) for Jack Rafter Side Cut Angle (SS Angle 12.57) (Saw Angle 75.00)

Tongue (2.14) Blade (14.42) for Purlin Rafter Plumb Cut Angle (SS Angle 8.45) (Saw Angle 8.25)
Tongue (3.22) Blade (14.42) for Purlin Rafter Cross Cut Angle (SS Angle 12.57)

Tongue (2.14) Blade (14.42) for Roof Sheathing Plumb Cut Angle (SS Angle 8.45) (Saw Angle 8.25)
Tongue (3.22) Blade (14.42) for Roof Sheathing Cross Cut Angle (SS Angle 12.57)

Tongue (8.00) Blade (12.00) for Miter Box Gable Mould Plumb Cut Angle (SS Angle 33.69)
Tongue (8.00) Blade (12.42) for Miter Box 2 Cord Polygon Gable Mould Hip Plumb Cut Angle (SS Angle 32.78)
Tongue (3.22) Blade (12.00) for Miter Box 2 Cord Polygon Gable Mould Hip Cross Cut Angle (SS Angle 15.00) (Saw Angle 15.00)

Tongue (2.14) Blade (14.42) for Frieze Block Plumb Cut Angle (SS Angle 8.45)
Tongue (3.22) Blade (14.42) for Frieze Block Cross Cut Angle (SS Angle 12.57) (Saw Angle 12.44)

Tongue (2.14) Blade (14.42) for Square Cut Fascia Plumb Cut Angle (SS Angle 8.45)
Tongue (3.22) Blade (14.42) for Square Cut Fascia Cross Cut Angle (SS Angle 12.57) (Saw Angle 12.44)

Tongue (0.38) Blade (3.22) for Hip Rafter Square Cut Fascia Plumb Cut Angle (SS Angle 1.83)
Tongue (3.22) Blade (14.42) for Hip Rafter Square Cut Fascia Cross Cut Angle (SS Angle 12.57) (Saw Bevel Angle 12.44)